Consider the line shown on the graph. Enter the
equation of the line in the form y = mx + b where m is
the slope and b is the y-intercept.
y=

Consider The Line Shown On The Graph. Enter Theequation Of The Line In The Form Y = Mx + B Where M Isthe

Answers

Answer 1

Solution -

From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.

So, slope of the line (m) passing through the points (a, b) and (c, d) is

m = d - b/ c - a

So, on substituting the values, we get

m = 4 - 3 / 1 - 0 = 1/1 = 1

Also, line makes an intercept of 3 units in positive direction of y - axis.

So, c = 3

So, Equation of line is given by

y = mx + c

y = 1 × x + 3

y = x + 3

Alternative Method :-

We know, Equation of line passing through the points (a,b) and (c, d) is given by

y - b = d - b / c - a (x - a)

Here,

a = 0

b = 3

c = 1

d = 4

So, on substituting these values in above result, we get :-

y - 3 = 4 - 3 /1 - 0 ( x - 0 )

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

y - 3 = x

y = x + 3

Different forms of equations of a straight line :-

1. Equations of horizontal and vertical lines

Equation of line parallel to x - axis passes through the point (a, b) is y = b.

Equation of line parallel to y - axis passes through the point (a, b) is x = a.

2. Point-slope form equation of line

Equation of line passing through the point (a, b) having slope m isy - b = m(x - a)

3. Slope-intercept form equation of line

Equation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.

4. Intercept Form of Line

Equation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.

5. Normal form of Line

Equation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.


Related Questions

Angad and Alex have played 40 tennis matches.
Angad has won 16 times.
Alex won the rest.
a) Estimate the probability that Angad wins.
b) Estimate the probability that Alex wins.

Answers

Answer:

estimate the probability that angad wins

Find the arc length of an arc with a Central angle of 2π/3 radians and a radius of 6 units

Answers

Answer:

Step-by-step explanation:

What is the product (1 – 6i) (-5 – 8i) ?
PLEASE HELP QUICK!!!!!f

Answers

Answer:

[tex]-53+22i[/tex]

Step-by-step explanation:

You can simply use the FOIL method, but keep in mind that [tex]i^2=-1[/tex]:

[tex](1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i[/tex]

Find the remainder of (h4+ h² - 2) /(h+3).

Answers

Answer:

remainder is 88

Step-by-step explanation:

if

[tex]h = 3[/tex]

[tex]f( - 3) = { ( - 3)}^{4} + { (- 3)}^{2} - 2[/tex]

[tex]f( - 3) = 88[/tex]

which is the remainder

Ms. Wimbley surveyed the middle school and found out that 70 students want to go to sky zone for the end of the year field trip. This represents 14% of the middle school. How many students are in the middle school?

Answers

Answer:

500

Step-by-step explanation:

If 700 is 14%, then x=100%

We do:

700=14%

x=100%

Then, we cross multiply to get

14x=7000

We divide 14 on each side, and get x=7000/14 which is x=500

So there are 500 total students in the middle school

Hope this helped you! If the answer is wrong, please tell me and I will correct it. Also, I would appriceate if you gave me a Brainliest. It means a lot to me :D

find the missing length

Answers

Answer:

Step-by-step explanation:

15^2 - 12^2 = a^2

225 - 144 = 81

a^2 = 81

a=9

GIVING BRAINLIEST!!!!!

Answers

plane PBC is right answer.

it's a logical answer....

Answer:

Plane PBC

Step-by-step explanation:

Plane PBC contains 4 points : P, B, C, and Q.

The question asks which contains all three of C, Q, and P.

The plane is Plane PBC

A diner is serving a special lunch combo meal that includes a drink, a main dish, and a side. customers can choose from 4 drinks, 5
main dishes, and sides
how many different combo meals are possible?
customers cani create choose.
v different lunch combo meals.

Answers

There are 20 possible different combination of meals

How to determine the number of combo meals?

The given parameters are:

Drinks = 4

Main dishes = 5

The number of different meals is calculated as:

Meals = Drinks * Main dishes

So, we have:

Meals = 4 * 5

Evaluate

Meals = 20

Hence, there are 20 possible different combination of meals

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solve the equation by completing the square. x²+6x-4=0​

Answers

Answer:

x = √13 - 3

x = -√13 - 3

Step-by-step explanation:

Given :

x² + 6x - 4 = 0

Solving :

x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9](x + 3)² - 13 = 0 [Group the square term together](x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]√(x + 3)² = √13 [Taking square root on both sides]x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]x = ±√13 - 3

Solutions :

x = √13 - 3x = -√13 - 3

A taxi charges a flat rate of $2.00, plus an additional $3 per mile. If Erica has at most $20 to spend on the cab ride, how far could she travel? Write an inequality and solve

Answers

Answer:

6 miles

Step-by-step explanation:

20.00 - 2.00 = 18

18/3 = 6

she can travel 6 miles

3 x 5/6 = ? x 1/6

those are fractions btw and what number makes the equation true?
PLEASE NO LINKS

Answers

Answer:

15

Step-by-step explanation:

[tex]3 \times \frac{5}{6} = \frac{15}{6} = 15 \times \frac{1}{6} [/tex]

1. what are the amounts of interest and maturity value of a loan for 250,000.00 at 5.5% simple interest for 4 months?​

Answers

the amount of maturity is 254583

Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of Cars. The title on the y-axis is Number of Wheels. Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin

Answers

Using the concept of a proportional relationship, it is found that the correct option regarding the graph is given by:

No, it is not a proportional relationship because the graph does not go through the origin.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the equation above, the first step is that in a proportional relationship, the map must go through the origin, that is, it must pass through the point (0,0). In this problem, it does not passes through the origin, as it passes in (0,2), hence the correct option is given by:

No, it is not a proportional relationship because the graph does not go through the origin.

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100 POINTS SOMEONE PLEASE HELP

A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 50°. Will the ladder be safe the way it is positioned? Explain.

Answers

Answer:

Answer:

(a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.

Answer:

(a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned

what is the length of lines UV, VW, WX, and VU when the points U(7,9), V(0,5), W(-6,-3)U(7,9),V(0,5),W(−6,−3), and X(1,1)X(1,1) form quadrilateral UVWX?

Answers

The length of lines UV, VW, WX, and UX are: = √65 units, 10 units,√65 units and 10 units respectively.

What is Distance Formula?

Algebraic expression that gives the distances between pairs of points in terms of their coordinates

Given that:  U(7,9), V(0,5), W(-6,-3) ,X(1,1)

The length can be find by using Distance Formula,

Length of UV,

= [tex]\sqrt{(0-7)^{2} + (5-9)^{2}}[/tex]

= [tex]\sqrt{49+16}[/tex]

= √65 units

Length of VW,

= [tex]\sqrt{(-6-0)^{2}+(-3-5)^{2}}[/tex]

= [tex]\sqrt{36 + 64}[/tex]

=√100 units

= 10 units

Length of WX,

=[tex]\sqrt{(1-(-6))^{2}+(1-(-3))^{2}}[/tex]

= √49+ 14

= √65 units

Length of XU,

= [tex]\sqrt{(7-1)^{2}+(9-1)^{2}}[/tex]

= √36+64

=√100 units

= 10 units

Length of UW,

= [tex]\sqrt{(-6-7)^{2}+(-3-9)^{2}}[/tex]

= √169+144

=√313 units

Length of VX,

= [tex]\sqrt{(1-0)^{2}+(5-1)^{2}}[/tex]

= √1+16

=√17 units

Thus, Length of opposite sides are equal but the length of diagonals are not Equal. So, the quadrilateral is a parallelogram.

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Which expression is equivalent to startfraction 4 f squared over 3 endfraction divided by startfraction 1 over 4 f endfraction? startfraction 16 f cubed over 3 endfraction startfraction f over 3 endfraction startfraction 3 over 16 f cubed endfraction startfraction 3 over f endfraction

Answers

The value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]

What is quotient?

The quotient of numbers or expressions is the division of a number or expression by another

How to determine the equivalent expression?

The expression is given as:

[tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex]

Rewrite as a product expression

[tex]\frac{4f^2}{3} \times \frac{4f}{1}[/tex]

Evaluate the product of 3 and 1

[tex]\frac{4f^2}{3} \times 4f[/tex]

Evaluate the product of 4f^2 and 4f

[tex]\frac{16f^3}{3}[/tex]

Hence, the value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]

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Answer:

its A

Step-by-step explanation:

On edge its the first answer

Rewrite 3* = 27 as a logarithmic equation.

Answers

Answer:

[tex]\log_3(27)=x[/tex]

Step-by-step explanation:

[tex]a^x=b[/tex] is equivalent to [tex]\log_a(b)=x[/tex] in logarithmic form, so [tex]3^x=27[/tex] is equivalent to [tex]\log_3(27)=x[/tex]

Answer:

Step-by-step explanation:

Which expressions are equivalent to the given expression?
√80
80²
☐ 4√10
160²
8√5
4√5

Answers

Answer:

4 root 5

Step-by-step explanation:

√80 = √ 16 X √5

√16 = 4

so 4√5

what is 300 in scintifiyc notation?​

Answers

300 written in scientific notation is 3 × 102.

hope this was helpful.

Step-by-step explanation:

Hi, please choose the correct answer. please

Answers

Answer:

y = -x + 1

Step-by-step explanation:

I just checked it in the desmos graphing calculator and it was correct.

Answer:

y = -x + 1.

Step-by-step explanation:

The graph rises to the left so has a negative slope.

slope  = -1 and y-intercept = 1

I really need help pls

Answers

Answer:

126

Step-by-step explanation:

Answer:

the answer us 140

Step-by-step explanation:

the answer is 140 because if you add them all the answer will come 140 but if we divide it or multiply it the answer will not come so the answer is 140

what is the value of...
4x - x + 5, when x = 3
???

Answers

Answer:

The value of 4x-x + 5 when x + 3 is 14

Step-by-step explanation:

4(3)= 12 - 3= 9 + 5= 14

The value of 4x - x + 5 when x = 3 is 14.

To find the value of 4x - x + 5 when x = 3, we substitute the value of x into the expression and simplify.

Plugging in x = 3, we have:

4(3) - 3 + 5

Now let's simplify each term:

4(3) = 12

-3 = -3

Now we can substitute the simplified terms back into the expression:

12 - 3 + 5

Next, we perform the addition and subtraction in order from left to right:

12 - 3 = 9

9 + 5 = 14

Therefore, the value of 4x - x + 5 when x = 3 is 14.

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Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. if $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = 15$, what is the value of $a_1$?
giving brainliest>

Answers

Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, with the general [tex]n[/tex]-th term

[tex]a_n = a_1 + (n-1) d[/tex]

Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :

[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]

[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]

[tex]\implies 5a_1 + 20d = 17[/tex]

and

[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]

[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]

[tex]\implies 5a_1+25d= 15[/tex]

Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :

[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]

[tex]\implies 5a_1 = 25[/tex]

[tex]\implies \boxed{a_1 = 5}[/tex]

The first three terms of a geometric sequence are as follows 80, 40, 20 what are the next 2 terms of the sequence

Answers

80 40 20 10 5

Step-by-step explanation: Divide 20 by 40 then 40 by 80 They all are divisible by .5so then times .5 to get the next terms

19 there is a frog and snake exhibit at
a nature center. the ratio of frogs to
snakes is 3 to 4. there are 24 snakes in
the exhibit. what is the total number of
animals in the exhibit?
a
18
c
32
b 42
d
56

Answers

Answer:

b.42

Step-by-step explanation:

the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.

so then total number of frogs is 42.

please help me I have been working on this for 20 minutes

Answers

Answer:

First Figure:

Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.

E.) x° = 90° - 68°  -----> x° = 22°

Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.

H.) y° = 180° - 90° - 22°  ----->  y° = 68°

Second Figure:

A similar process can be taken for the second figure.

T.) x° = 180° - 90° - 74°  ----->  x° = 16°

E.) y = 90° - 50°  ----->  y° = 40°

Third Figure:

Again, remember that right triangles = 90° and lines = 180°.

C.) w° = 180° - 90° - 31°  ----->  w° = 59°

R.) x° = 90° - 28°  -----> x° = 62°

H.) y° = 180° - w°  ----->  y° = 180° - 59°  ----->  y° = 121°

Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.

write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.

1. Circle B has a radius of 18 inches. True or false?
2. Circle B has an area of approximately 103. 14in2. True or false?
3. The distance around Circle A is 20.5 inches longer than Circle B. True or false?

Answers

Answer:

1. False

2. True

3. true

Step-by-step explanation:

The first answer is false, the second one is true and the third is true

For the function f(x) = x2
Find f(5) =

Find f(-5) =

Answers

given ,

[tex]f(x)= (x)^{2}[/tex]

=> f(5) = (5)^2 = 25

=> f(-5) = (-5)^2 = 25

Answer:

25

Step-by-step explanation:

..............

if u answered on the same 1 move on

help me i dont get this

Answers

The two-way table that shows the joint and the marginal relative frequencies is:

            Aerobic          Anaerobic     Total

Male       0.48              0.63               0.55

Female   0.52             0.37               0.45

Total         1                    1                      1

How to make a two-way table from the frequency table?

The table is given as:

            Aerobic     Anaerobic

Male       88               104

Female  96                62

The column total are:

Aerobic = 88 + 96 = 184

Anaerobic = 104+ 62 = 166

So, we have:

            Aerobic                        Anaerobic

Male       88/184 = 0.48              104/166 = 0.63

Female  96/184 =  0.52             62/166 = 0.37

The total count of the table is

Total = 184 + 166 = 350

So, we have:

            Aerobic          Anaerobic     Total

Male       0.48              0.63              (88 + 104)/350 = 0.55

Female   0.52             0.37               (96 + 62)/350 = 0.45

Hence, the two-way table that shows the joint and the marginal relative frequencies is:

            Aerobic          Anaerobic     Total

Male       0.48              0.63               0.55

Female   0.52             0.37               0.45

Total         1                    1                      1

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Based on the number of males and females doing aerobic and anaerobic respiration, the relative and marginal frequencies can be shown as:

                           Aerobic                     Anaerobic                        Total

Male                     47.8%                          62.7%                            54.9%

Female                 52.2%                          37.3%                            45.1%

                            100%                             100%                             100%

What are the relative and marginal frequencies given?

The frequencies for males are:

Aerobic = 88 / (88 + 96)                                    Anaerobic = 104 / (104 + 62)

= 47.8%                                                                                 = 62.7%

For females:                      

Aerobic = 100% - 47.8%                                    Anaerobic = 100 - 62.7%

= 52.2%                                                                                 = 37.3%

Total males frequency:                                Total females
= (88 + 104) / (88 + 104 + 96 + 62)               = 100% - 54.9%

= 54.9%                                                          = 45.1%

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Find the prime factorization of 945

Answers

Answer:

3 × 3 × 3 × 5 × 7

Other Questions
At Universal Containers, the sales managers would like Opportunities that have NOT been updated in the past 30 days to automatically be flagged. How should a System Administrator implement this requirement At time t = 0 s, an object is moving to the rightwith a velocity v that can be modeled by theequation v=(4.2 m/s)-(1.4 m/s?)t. At what time,if any, does the object change its direction ofmotion? Need help please answer ASAP! Beth took out a loan at an annual compound interest rate of 30%.After 2 years she owes a total of 8112.What was the original amount that Beth Borrowed.Give your answer to the nearest 1 The graph of y = cos x is transformed to the graph below. Which statementabout the graph is not correct?QA. There is no phase shift.OB. The period is pi.OC. The amplitude is 2.O. D. The midline is y = 1.5.EIN5 can someone help please thank you 12 is 48 percent of what number? European countries taking over different parts of Africa is an example of _______. What sound block lets you slow down your beat? can someone help me quickly.Read this excerpt from The People Could Fly.They say the people could fly. Say that long ago in Africa, some of the people knew magic. And they would walk up on the air like climbin up on a gate. And they flew like blackbirds over the fields. Black, shiny wings flappin against the blue up there.Which word best describes the setting in this excerpt? ordinary stormy calm enchanted the length of a rectangle is a inches. the width is 3 inches longer then the length. What is the area and the perimeter of the rectangle Belle runs 16 times around a track that measures 1/4 mile long.What fraction shows the distance that Belle runs?How many whole miles does Belle run? Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?The pool must have been empty for the entire interval.The pool must have been the same depth at the start of the interval as it was at the end of the interval.The pool must have been deeper at the end of the interval than it was at the start of the interval.The pool must have been more shallow at the end of the interval than it was at the start of the interval. 160% of a number is 0.84. find the number. PLEASE ANSWER!!The Opium War of 183942 was short and one-sided, due to the superiority of European weapons, which came as a complete surprise to the Chinese. In the first skirmish alone, in July 1839, two British warships defeated twenty-nine Chinese ships. On land, the Chinese and their medieval weapons were no match for British troops armed with state-of-the-art muskets. By the middle of 1842 British troops had seized Hong Kong, taken control of the key river deltas, and occupied Shanghai and several other cities. The Chinese were forced to sign a peace treaty that granted Hong Kong to the British, opened five ports for the free trade of all goods, and required the payment of reparations to the British in silver, including compensation for the opium that had been destroyed by Commissioner Lin. Tom StandageWhat historic practice is this an example of? Question 1 options:PacifismMercantilismImperialismCommunism Suppose that a family wants to start a college fund for their child. if you invest in an account that pays 5.5% and want the fund to have a value of $53,000 after 18 years, how much should you deposit monthly? assume an annuity due. a. $142.98 c. $143.49 b. $143.30 d. $145.52 Can i get some help ? PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST! A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. You draw one marble at random. Find Pared and blue) (1 point) 40 o 17 00 o SIAMO 0 What is produced by translation