Pretzelmania, Incorporated, issues 7%, 10-year bonds with a face amount of $70,000 for $70,000 on January 1, 2024. Interest is paid annually on December 31.

Answers

Answer 1

Cr Cash 4,900 which is Interest paid annually on December 31.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

Pretzelmania, Inc., issues 7%, 10-year bonds with a face amount of $70,000 $70,000 on January 1, 2015. The market interest rate for bonds of similar risk and maturity is 7%. Interest is paid annually on December 31.

January 1, 2015, bonds issued at par value

Dr Cash 70,000

Cr Bonds payable 70,000

June 30, 2015, first coupon payment

Dr Interest expense of 4,900

Cr Cash 4,900

Thus, Cr Cash 4,900 which is Interest paid annually on December 31.

To learn more about the interest click here:

brainly.com/question/25857212

#SPJ1

Related Questions

What is calculas of variations?

Answers

Answer:

Hey there!

Step-by-step explanation:

This is ur answer...

The calculus of variations is a field of mathematics about solving optimization problems. This is done by minimizing and maximizing functionals. The methods of calculus of variations to solve optimization problems are very useful in mathematics, physics and engineering.

Hope it helps!

Brainliest pls!

Follow me <3

Mathematics' Calculus of Variations tackles the problem of identifying the function for which the outcome of a specific integral might be either the highest or lowest.

Solve the following inequalities 1/2 x ≥ 3

Answers

Answer:

x[tex]x\geq 6[/tex].

Step-by-step explanation:

1. Write the expression.

[tex]\frac{1}{2}x \geq 3[/tex]

2. Divide both sides by 1/2.

[tex]\frac{\frac{1}{2}}{\frac{1}{2} } x\geq \frac{3}{\frac{1}{2} }[/tex]

Dividing by a fraction of the same as multiplying by its multiplicative inverse. Since the multiplicative inverse of 1/2 is 2/1, we may rewrite as:

[tex]\frac{2}{1} *\frac{1}{2} x\geq \frac{2}{1} *3[/tex]

3. Simplify.

[tex](1)x\geq(6)\\ \\x\geq6[/tex]

4. Verify.

[tex]\frac{1}{2}(6) \geq 3\\ \\3\geq 3[/tex]

Correct!

5. Express the final result.

x[tex]x\geq 6[/tex].

Write a linear function f with f (0)
7 and f(3) = 1.
f(x) =

Answers

Answer:

f(x) = -2x +7

Step-by-step explanation:

The 2-point form of the equation for a line is suitable for this. For points (x1, y1) and (x2, y2), the equation is ...

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For the given points (0, 7) and (3, 1), the equation is ...

y = (1 -7)/(3 -0)(x -0) +7

y = -6/3x +7 . . . . . . . . simplify.

We can use f(x) for y to get ...

f(x) = -2x +7

using excel lookup functions, add new fields to the invoice data by bringing in information from the other data sheets

Answers

To pull values from another worksheet, we need to follow these steps:

Select cell C3 and click on it.

Insert the formula: =VLOOKUP(B3,'Sheet 2'!$ B$3:$C$7,2,0)

Press enter.

Drag the formula down to the other cells in the column by clicking and dragging the little “+” icon at the bottom-right of the cell.

How do I add a LOOKUP field in Excel?

Open Design View on the table. Click a cell in the Field Name column in the first available empty row, and then type a field name for the lookup field. Select Lookup Wizard from the drop-down list by clicking the arrow after clicking in the Data Type column for that row.

To compute values in several columns, the VLOOKUP function may be used in conjunction with other functions like the Sum, Max, or Average. Since this is an array formula, all we need to do to make it function is hit CTRL+SHIFT+ENTER at the conclusion of the formula.

To learn more about pull values visit:https://brainly.com/question/14307039

#SPJ4

hi if someone wouldn’t mind doing this that would be great!!! 100 points im just desperate i need a whole bunch of stuff done tomorrow, thank you! :)

Answers

Answer:

1. y=2x−5

2. y=-x-4

3. y=-1/2x+1

Step-by-step explanation:

First Question:

We are given (3, 1) and (1, -3)

The slope is the difference of y-values over x-values. From this we get:

(1−−3)/(3−1)=4/2=2

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (3, 1) gives us 1=3∗2+b ⇒ b=1−6 = −5

We have our slope and y-intercept now, so the equation is y=2x−5.

Second Question:

We are given (-4, 0) and (1, -5)

The slope is

(-5-0)/(1--4)=-5/5=-1

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (-4, 0) gives us 0 = -1∗-4+b ⇒ b = -4

We have our slope and y-intercept now, so the equation is y=-x-4.

Third Question:

We are given (-6, 4) and (-2, 2)

The slope is

(4-2)/(-6--2)=2/48=-1/2

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (-2, 2) gives us 2 = -1/2∗-2+b ⇒ b = 2-1 = 1

We have our slope and y-intercept now, so the equation is y=-1/2x+1

the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 50 terms

Answers

Answer: 6000

Step-by-step explanation:

The formula for the first [tex]n[/tex] terms of an arithmetic sequence with first term [tex]a[/tex] and common difference [tex]d[/tex] is [tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex].

In this question, [tex]a=-27, d=6, n=50[/tex].

So, [tex]S_{50}=\frac{50}{2}[2(-27)+(50-1)(6)]=6000[/tex].

What is the solution to x2 – 9x < –8?

x < 1 or x > 8
x < –8 or x > 1
1 < x < 8
–8 < x < 1

Answers

Answer:

1 < x < 8

Step-by-step explanation:

x² - 9x + 8 < 0

(x-8)(x-1) = 0

x = 8

x = 1

these are the points where the parabola intercepts the x axis. We have to find when it is under x axis

1 < x < 8

23. For the data in the table, does y vary directly with x? If it does, write an equation for the direct (1 point) variation.
yes; y=2 x
yes; y=5 x
yes; y=7 x
no; y does not vary directly with x.

Answers

The ratio y/x is not constant (k) for all the data points, then y does not vary directly with x.

What is the constant of variation?

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.

We have,

x y

2 10

4 24

6 36

To determine whether y varies directly with x, you need to see if the ratio of y to x is constant for all the data points.

If y varies directly with x, then the ratio y/x will be constant for all the data points. In this case, you can write an equation for the direct variation in the form y = kx, where k is the constant of variation, which is equal to the ratio y/x.

If the ratio y/x is not constant for all the data points, then y does not vary directly with x.

so, let's see the k constant of variation,

k = y/x

k = 2/10 =1/5

k = 4/24 = 1/6

k = 6/36 = 1/6

so, k = 1/5, k=1/6, k=1/6.

Hence, the ratio y/x is not constant (k) for all the data points, then y does not vary directly with x.

To learn more about the constant of variation visit,

https://brainly.com/question/7764541

#SPJ1

In a Science class, there are thirty students. Ten are males and twenty are females. On the last quiz, three males and six females earned an A. What is the approximate probability of selecting a male or a student that earned an A on the quiz?
0.53
0.10
0.43
0.63

Answers

P(male) = 10/30
P(student who got A) = 9/30
The real trick here is the word “or”
Since 6 females got an A they get added to the male students
P(male or got A) = (10 + 6)/30 = 16/30

The sample space looks like this:
Males A A A ? ? ? ? ? ? ?
Female A A A A A A ? ? ? ? ? ? ? ? ? ? ? ? ? ?

The only students excluded in the question are females who did not get an A
P(male or got an A) = 1 - P(female who didn’t get A) = (30 - 14)/30 = 16/30

16/30 = 0.53 (2 dp)

Ramesh took a loan of Rs 50,000 from Urmila at the rate of 10% p.a. If he paid a
half of the principal and all the interest at the end of 3 years, in how many years
should he pay the remaining amount with total interest of Rs 20,000 from the
beginning?

Answers

Answer:

Below

Step-by-step explanation:

In three years the interest will be

50 000 * .1 * 3 = 15 000

He pays this and 25 000 so his remaining loan is 25 000

we want to know how long will it be before this remaining loan

incurs 5 000 interest ( for a total of 20 000)

25000 * . 1 * n = 5000 shows n = 2 years more

( 5 years from original loan date)

The nth term of a sequence is n²+20
a) Work out the first three terms of the sequence.?
b) How many terms in the sequence are less than 50 ?

Answers

a) first three terms are 1^2 + 20 = 21, 2^2 + 20 = 24 and 3^2 + 20 = 29

b) for n^2 + 20 < 50 then n^2 < 30
Only 5 squares are less than 30 ie 1, 4, 9, 16, 25
So five terms in the sequence are less than 50

A force of 400 newtons stretches a spring 2 meters. A mass of 50 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. Find the equation of motion.

Answers

The equation of motion for the mass attached to the spring

x = x_0 + 10 m/s t + (1/2)(-4 m/s^2)t^2

What is the equation of motion?

Generally, The equation of motion for a mass on a spring is given by Hooke's law, which states that the force exerted by a spring is proportional to its displacement from equilibrium. The proportionality constant is known as the spring constant, which is denoted by the letter k.

In this case, the force exerted by the spring is 400 newtons, and the displacement from equilibrium is 2 meters. Therefore, the spring constant is given by:

k = F/x = 400 N/2 m = 200 N/m

The equation of motion for a mass on a spring is given by:

F = ma = -kx

where F is the force exerted by the spring, m is the mass of the object, a is the acceleration of the object, and x is the displacement of the object from equilibrium.

Substituting the values for the spring constant and the mass, we get:

-kx = -(200 N/m)(50 kg)(x'')

Solving for the acceleration, we get:

x'' = -k/m = -200 N/m / 50 kg = -4 m/s^2

This is the equation of motion for the mass attached to the spring. The negative sign indicates that the acceleration is in the opposite direction of the displacement, as is expected for a mass on a spring.

Finally, to find the equation of motion, we need to take into account the initial velocity of the mass. The equation of motion for an object with initial velocity is given by:

x = x_0 + v_0t + (1/2)at^2

where x is the displacement of the object, x_0 is the initial displacement (in this case, the equilibrium position of the spring), v_0 is the initial velocity, t is time, and a is the acceleration.

Substituting the values for the acceleration and the initial velocity, we get:

x = x_0 + 10 m/s t + (1/2)(-4 m/s^2)t^2

This is the equation of motion for the mass attached to the spring. The initial displacement, x_0, is the equilibrium position of the spring, which is assumed to be at x=0 in this case.

Answers

1 hot dog cost is $1.20 .

What is costs?

A cost is the value of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.

Let's say that each drink costs $x and each hot dog costs $y.

Using the provided information, 3 drinks and 2 hot dogs cost $4.80. In equation form, it reads as follows:

3 x+2 y=4.80

1 drink and 1 hot dog costs $2.00. In equation form, we can write it as:

x+y=2

x=2-y

Using this value of x in first equation, we get:

3(2-y)+2 y=4.80

6-3 y+2 y=4.80

6-y=4.80

y=6-4.80

y=1.20

Thus the cost of one hot dog is 1.20$

To learn more about cost visit:https://brainly.com/question/15135554

#SPJ1

Write a
system of equations with the solution (4, -3).

Answers

Answer:

A (0, -3) translated to the right 4 units.

Step-by-step explanation:

If you go right 4, you get (4, -3)

If g'(x) = (2-x)x² So how many extreme points does the function g(x) has?

Answers

There are 3 extreme points does the function g(x) = (2 - x) x².

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ g ' (x) = (2 - x) x²

Now,

Since, The function is,

⇒ g ' (x) = (2 - x) x²

We know that;

The extreme points are find as;

⇒ g ' (x) = 0

So, We get;

⇒ g ' (x) = 0

⇒ (x - 2) x² = 0

This gives two values as;

⇒ (x - 2) = 0

⇒ x = 2

And, x² = 0

⇒ x = 0, 0

Thus, The extremes values are;

⇒ x = 2 , 0, 0

Learn more about the function visit:

https://brainly.com/question/13804741

#SPJ1

The graph shows a system of inequalities.

Graph of two inequalities.

Which system is represented in the graph?

y > x2 + 4x – 5
y > x + 5
y < x2 + 4x – 5
y < x + 5
y ≥ x2 + 4x – 5
y ≤ x + 5
y > x2 + 4x – 5
y < x + 5

Answers

The system of inequalities shown by the graph are

y > x² + 4x – 5y > x + 5

How to identify inequality graphs

There are some points that help in interpreting inequality graphs.

The first part is to arrange the equation in the form so that y is the subject of the formula and to the left

Then watch out for dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR <solid line means there is equality in the inequality ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater thanshading below the line defines less than

Equipped with tis information, it is clear that the two lines of the graph are both dashed and shaded above the line,

Hence we look out for equations having no equality sign in the inequality and due to the shading must be greater than.

This makes the first option the best choice

Learn more about linear functions at:

https://brainly.com/question/29323505

#SPJ1

the perimeters of the square and the rectangle below are the same. Write and solve an equation to find the value of x area= 121inches squared the rectangle is 3x and x-2
the area of the square is 121 in. Squared.

Answers

The equation is written as 3x + x - 2 = 11(2). Then the value of the variable 'x' is 6.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The borders of the square and the square shape underneath are something similar.

Perimeter of the square = Perimeter of the rectangle

4a = 2(L + W)

2a = L + W

If the area of the square is 121 square inches. Then the side length of the square is given as,

a² = 121

a = 11 inches

And the dimension of the rectangle is 3x and x - 2. Then the equation is given as,

3x + x - 2 = 11 (2)

4x - 2 = 22

4x = 24

x = 6

The equation is written as 3x + x - 2 = 11(2). Then the value of the variable 'x' is 6.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

At what values of x does the graph of y=e−x+2xe−x+x2e−x have a point of inflection?

Answers

Where the voice rises and falls. But inflection also describes a departure from a normal or straight course.

What is inflection point and how to find an inflection point?

Inflection points for the given equation x^2e^{-2x} are

f'(x) =[tex]2x2xe^{(-2x)}-2{(x2)} e^{(-2x)}[/tex]

f'(x) =[tex]-2(x-1)xe {(^-2x)}[/tex]

The point of inflection, also known as the inflection point, is when the function's concavity changes. Changing the function from concave down to concave up, or vice versa, signifies that. In other words, an inflection point is the location at which the rate of slope shift from a growing to a decreasing way, or vice versa, occurs. There is no doubt that those positions are neither local maxima nor minima. They are fixed points.On a curve, an inflection point is when the concavity changes, according to definition. (i.e., a shift in the sign of curvature). We are aware that the function is concave up if f " > 0, and that it is concave down if f " 0. The point of inflection on a graph is where the function switches from positive to negative, or from negative to positive, at a particular value of x = c.

x= -b±√(b^2 - 4ac)/2a

x=4±√(16+16)4

x=4±4√2/4

x=[tex]\sqrt{2+2/2}[/tex]

x=[tex]\sqrt{2-2/2}[/tex]

We get,

x=[tex]\sqrt{(2+2)/2^{2}*\sqrt{2+2}[/tex]

so, inflection points are,

To learn more about inflection refer to:

https://brainly.com/question/29530328

#SPJ4

if c is (5x-7) degrees and b is (8x-55) degrees what is the value of x

Answers

The value of x is 18 if ∠C and ∠D are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that:

∠C and ∠D are vertical angles.

From the definition of the vertically opposite angles:

5x-7 = 8x-55

After solving we get:

-7 = 3x -55

3x = 48

x = 16

Thus, the value of x is 18 if ∠C and ∠D are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55.

The complete question is:

∠C and ∠D are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55. What is m∠D ?

Learn more about the vertically opposite angles here:

brainly.com/question/24287162

#SPJ1

1. Todd purchased a jumper for his infant son. The jumper clamps to the top of a door frame and has a spring from which the body of the jumper hangs to allow the infant to jump up and down. Included with the jumper are small weights, each identical in weight and size. The weights allow the user to adjust the initial height of the jumper by stretching the spring a certain distance. Todd adds 8 of the weights and notes the spring stretches 2 centimeters.
(a) According to Hook's Law, the amount that a spring is stretched, s, varies directly with the force applied to the spring by the weights, $F$. Write an equation that relates F and s for the spring on the jumper. (3 points)

F=ks 8=k 2
k=8/2 F=4 x

Answers

The equation that relates F and s for the spring on the jumper will be F=4x.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Todd increases the weights by 8 and observes a 2 cm spring extension. According to Hook's Law, the force exerted on a spring by the weights directly affects how much it is stretched, or s.

The equation that relates F and s for the spring on the jumper is obtained as,

F=ks

8=k×2

k=8/2

F=4 x

Thus, the equation that relates F and s for the spring on the jumper will be F=4x.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

Solve one eighth times quantity x plus 32 end quantity equals negative 7.
HURRY 100 PTS
x = 56
x = 7
x = −88
x = −24

Answers

The solution of the expression will be;

⇒ x = - 88

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

'' one eighth times quantity x plus 32 end quantity equals negative 7.''

Now,

Since, The algebraic expression is,

'' one eighth times quantity x plus 32 end quantity equals negative 7.''

Hence, We can formulate;

⇒ 1/8 (x + 32) = - 7

⇒ x + 32 = - 56

⇒ x = - 56 - 32

⇒ x = - 88

Thus, The solution of the expression will be;

⇒ x = - 88

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?
*
The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?
*

Answers

Answer:

182 feet

Step-by-step explanation:

Taking the fact that 112/40 = 2.8, you would need to multiply the miles per hour by 2.8 to get the feet needed.

Why is that, well I cant really explain...its just math and it works out /:

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 4 liters of natural oil for every 7 liters of synthetic oil. In order to make 825 liters of Petrolyn oil, how many liters of natural oil are needed?

Answers

The natural oil that will be needed to make make 825 liters of Petrolyn oil is 300 liters.

How to illustrate the ratio?

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this situation, Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 4 liters of natural oil for every 7 liters of synthetic oil. In order to make 825 liters of Petrolyn oil, the natural oil will be:

= 4 / (4+7) × 825

= 4 / 11 × 825

= 300

Learn more about ratio on:

brainly.com/question/2328454

#SPJ

Sum of 3x + 2 and 8x

Answers

“Sum” means the result of addition. So, in this problem, we are to find the sum of the three terms, meaning we must add all three terms together. Let’s translate the problem into an expression:

3x+2+8x

We must combine like terms, and because the three terms are adding, we can use the commutative property, which states: a+b+c=c+a+b. Essentially, we can add in any order without changing the sum:

(3x+8x)+2

We now have the like terms grouped together, so simply add them:

11x+2 is your answer

Triangle congruence
Will give brainliest

Answers

We are given that triangles DOG and XOF are congruent; therefore, their corresponding sides will be congruent. So, we will find the corresponding sides and solve for x and y.

If we reflect triangle XOF back into DOG, we see that sides DO and OF are corresponding side, as so are sides GO and OF. Therefore, these sides are congruent.

DO ≅ OF

Substitute the expressions in for the side lengths:

(10-2x)=(7x-2)

Solve for x:

10=7x+2x-2

10+2=9x

12=9x

12/9=x

x=1.333

GO ≅ OX

Substitute the sides in:

(8y+3)=(16-6y)

Solve for y:

8y+6y+3=16

14y=16-3

14y=13

y=14/13

Thank you so much, I have a test tomorrow so I really appreciate it. Answering again so I can give you brainliest.

Find the amount that results from the given investment.
$600 invested at 6% compounded quarterly after a period of 4 years
After 4 years, the investment results in $.
(Round to the nearest cent as needed.)

Answers

We can tell that the investment results after 4 years will be $761 with the help of compound interest.

What is compounding?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it so that interest is generated the next period on the principal amount plus any accumulated interest.

In finance and economics, compound interest is common.

So, we have an initial investment of %600.

And the interest is 6% which will be compounded quarterly for 4 years.

Then the amount we will receive after 4 years is:

(Refer to the table attached below)

So, the amount we will get after 4 years is $761.39.

Rounding off: $761

Therefore, we can tell that the investment results after 4 years will be $761 with the help of compound interest.

Know more about compounding here:

https://brainly.com/question/29523718

#SPJ1

[tex]-16x^{\frac{-3}{2}[/tex]

Answers

The expression -16x^(-3/2) represents a term that has a coefficient of -16 and a variable x raised to the power of -3/2.

What is an expression?

Generally, The expression -16x^(-3/2) represents a term that consists of a coefficient of -16 and the variable x raised to the power of -3/2.

In general, the exponentiation operator (^) represents the idea of raising a number (called the base) to a certain power (called the exponent). For example, x^2 means "x raised to the power of 2" and can be calculated as x * x = x^2.

Similarly, x^3 means "x raised to the power of 3" and can be calculated as x * x * x = x^3.

The exponent -3/2 means that the base (in this case, x) is raised to the power of -3/2. This can be simplified as follows:

x^(-3/2) = 1 / x^(3/2) = 1 / (x^(3/2))

The expression -16x^(-3/2) can then be simplified as follows:

-16x^(-3/2) = -16 * 1 / x^(3/2) = -16 / x^(3/2)

Answers

To find the ordered pair that is the solution to the equation y = (1/3)x - 4, we need to solve the equation for x.

To do this, we can first add 4 to both sides of the equation to get y + 4 = (1/3)x. Then, we can multiply both sides of the equation by 3 to get 3y + 12 = x.

Therefore, the ordered pair that is the solution to the equation y = (1/3)x - 4 is (12, 3y).

Note that the value of y is unknown in this solution. In order to find the exact solution, we would need to know the value of y. For example, if y = 2, then the ordered pair that is the solution to the equation y = (1/3)x - 4 is (12, 6).

That equation invites you to create a table to generate ordered pairs that you can graph and connect. Because it is a linear equation, you will create a line. Ordered pairs would include (x,y) where (0, -4) works. Plug in zero for x and y is -4. Again, (3, -1) also works. If x is 3, plug it in and get y= -1. Again, (12,0) works. Plug in 12 for x and y is zero. Connect those points to graph the line. All this should remind you that there isn’t a single ordered pair that solves that equation; instead, plug in an x value (of your choosing) and you will get a y value. Graph those (x,y) ordered pairs to graph the line that represents the equation. Peace!

Name the three types of triangles that deal with the measure of the sides

Answers

The three types of triangles that deal with the measure of the sides are equilateral, isosceles, and scalene.

What’s the slope for x<-3

Answers

Answer:As you can see, this line is vertical! It goes directly up. We know that because the equation says that X is equal to -3. It is telling us that no matter what the Y value is, X will be -3.

Step-by-step explanation:

The equation to find slope is to take two points

(A,B) and (C,D) and to do the following equation: D−B

______

C−A

So, let's take two points. Let's say that Y is equal to 3 and 2. In that case, since X is always -3, our points would be (−3,2) and (−3,3).

Now, let's substitute into our formula.

3−2 1 1

------ = ----- = ---

3 (−3) (subtract) -3 + 3 0

As you can see, the final slope is 1/0

. If you put that into your calculator, it will come out as undefined, because any number divided by zero is undefined. And so your slope for any vertical line is undefined.

Other Questions