Mathematics High School

write an equation in point-slope form for the given point and slope: point: (-7, 5) slope: 3

Answers

Answer 1

Answer:

y - 5 = 3(x + 7)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 3 and (a, b ) = (- 7, 5 ) , then

y - 5 = 3(x - (- 7) ) , that is

y - 5 = 3(x + 7)

Related Questions

The width of a 2-by-4 piece of wood is actually 3 1/2 inches. Find the total width of 28 2-by-4s laid side by side. Simplify your answer

Answers

Answer: 98 inches

Work Shown:

3 1/2 inches = 3.5 inches

total width = 28*3.5 = 98 inches

The required total width of 28 2 - by -4s laid side by side is 98 inches.

Given,
The width of a 2-by-4 piece of wood is actually 3 1/2 inches. to determine the total width of 28 2-by-4s laid side by side.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The width of a 2-by-4 piece of wood is actually 3 1/2 inches.
Now, the width of 28 2-by-4 woods laid side by side,
= 28 * 3 1 / 2
= 28 * 7 / 2
= 98

Thus, the required total width of 28 2 - by -4s laid side by side is 98 inches.

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i'll give brainliest and points to whomever answers these two questions, thank you so much in advance!

Q8- what's the S.S of the inequality: x² + 4 > 2

a) R
b) ∅
c) R-
d) R+

Q9- if x + yi = (1 + i)⁴ , then x + y = ......

a) 4
b) - 4
c) 2
d) - 2

an explanation for future reference would be GREATLY appreciated, thank you again T^T

Answers

Answer:

Answer b of the first one

answer of q9

Step-by-step explanation:

(x+iy)(2−3i)=4+i

2x−(3x)i+(2y)i−3yi

=4+i

Real

2x+3y

Imaginary

(2y−3x)

i=4+i

Comparing the real & imaginary parts,

2x+3y=4--------------------------(1)

2y−3x=1----------------------------(2)

Solving eq(1) & eq(2),

4x+6y=8

−9x+6y=3

13x=5⇒x=

∴(x,y)=(

)

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Answers

[tex]\dfrac{10} 7 + \dfrac 2{20} +7 - 4\\\\\\=\dfrac{20(10)+7(2)}{140}+3\\\\\\=\dfrac{200+14+140(3)}{140}\\\\\\=\dfrac{634}{140}\\\\\\=\dfrac{317}{70}[/tex]

please solve quickly

Answers

If a student is selected randomly, the probability that the student is a junior given that the student is male is 14%.

What is the probability?

Probability determines the odds that an event would happen. The odds of the event happening lie between 0 and 1.

p (Junior | Males) = number of males that are junior / total number of males

2 / (4 + 6 + 2 + 2 ) = 2/14 x 100 = 14%

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A shirt is on sale for 40% off. The sale price is $12. How much was the discount?

Answers

Let p = the original price

p - .4p = 12

.96p = 12

p = 12.5

The original price was $12.50

12.5 - 12 = .5

The amount of the discount was $.50

Please help! Give detailed answer.

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem

√25²-20²=15

Answer:

Step-by-step explanation:

the figure is a rectangle with opposite equal sides

Consider the upper right triangle

using Pythagoras' identity

p² + 20² = 25²

p² + 400 = 625 ( subtract 400 from both sides )

p² = 225 ( take square root of both sides )

p = [tex]\sqrt{225}[/tex] = 15

2 similar rectangular pyramids have a similarity ratio of 4:5. What is the ratio of their volumes? Put your answer in the form a:b

Answers

Answer:

64:125

Step-by-step explanation:

When you go from a length ratio to an area ratio you need to square the numbers involved: [tex]4^{2} :5^{2}[/tex] = 16 : 25

By the same logic, if you want to go from length to volume you need to cube the numbers involved: [tex]4^{3} :5^{3}[/tex] = 64 : 125

PLEASE ANSWER ASAP
The sum of the first six terms of the geometric sequence 1, 2, 4, 8, ... is equal to the sum of
the first six terms of an arithmetic sequence that also has 1 as its first term. What is the
fifth term of the arithmetic sequence?

Answers

Answer:

FIND IT YOURSELF

Step-by-step explanation:

YOU ARE GIVEN QUESTIONS TO ANSWER FOR YOU, NOW DO IT YOURSELF.

The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.

the force on a sail with area an area of 500 ft2 is 64. 8 pounds when the wind speed is 18 mph. what

would be the force for a sail with an area of 250 ft? with a wind speed of 35 mph.

how would you solve this problem? what would your answer be?

response:

Answers

Answer:

122.5 lbs

Step-by-step explanation:

The relation between force, wind speed, and area can be written ...

f = ks²a

for some wind speed s and area a.

The constant of proportionality, k, can be found from the given data.

64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph

k = 64.8/(324×500) = 0.0004

Using the equation with the second set of data, we have ...

f = 0.0004(35²)(250) = 122.5 . . . . pounds

The force on the 250 square foot sail would be 122.5 pounds.

“will give brainliest”

The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 8, 0. The vertex is at 4, 270.

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

Answers

Answer:

Part A: The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.

Part B: From the interval [1,4], the average rate of change is 50.625, which means that for every $1 increase in the price of erasers, the profit goes up by $50.625.

Part C:

The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.

Step-by-step explanation:

The equation of this parabola is [tex]f(x) = -16.875(x-4)^2 + 270[/tex].

Part A:

The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.

Part B:

To find the average rate, we can use the slope formula, but first, we must find the y-values at each given x-value. We can plug in 1 and 4. [tex]f(1) = -16.875(1-4)^2 + 270 = 118.125[/tex]. We know that at x = 4, the y-value is 270 because the vertex is at (4,270). Now we can apply the slope formula [tex]\frac{270 - 118.125}{4 - 1} = 50.625[/tex]. This means that from the interval [1,4], the average rate of change is 50.625, which represents that for every $1 increase in the price of erasers, the profit goes up by $50.625.

Part C:

hope this helped! :)

rashanda claims that she plays roughly 30 hours of golf per week she played 3 hours on monday 9 hours total on tuesday through thursday and 15 hours total over the next five days rashanda plays at a steady rate explain why her claim is or is not accurate

Answers

Answer:

Not accurate

Step-by-step explanation:

3+9+9=21

if you subtract 13 from my number and multiply the difference by -4, the result is -40, what is the number?

Answers

Answer:

Step-by-step explanation:

let the number = X

subtracting 13 from X = X -13

multiplying the difference by -4= (X -13)×-4

the result is -40 means (X-13)×-4=-40

(X- 13)×-4 = -40

-4 X +52 = -40

collect like term

-4 X = -40-52

- 4X = -92

dividing bothsides by -4

-4 X /-4 = -92/-4

X = 23

Given the function, f(x) = (-3x)2 , evaluate f(4)

Answers

Answer:

Step-by-step explanation:

(-3*4)^2 = (-12)^2 = 144

An Air Force plane flew to the
maintenance facility and back. It took one
hour longer to go there than it did to come
back. The average speed on the trip there
was 256 km/h. The average speed on the
way back was 320 km/h. How many
hours did the trip there take?

Answers

Answer:

5 hours

Step-by-step explanation:

Time taken for trip : t + 1

Time taken for return : t

Avg. speed (trip) : 256 km/h

Avg. speed (return) : 320 km/h

The distances covered on both trips are equal.

⇒ Distance (trip) = Distance (return)

⇒ Speed (trip) × time (trip) = Speed (return) × time (return)

⇒ (256)(t + 1) = (320)(t)

⇒ 256t + 256 = 320t

⇒ 64t = 256

⇒ t = 4 hours

Time (trip) = t + 1 = 4 + 1 = 5 hours

What is the slope of the graph?

Answers

Answer:

-x

The slope-intercept equation is y = -x + 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope is 1 because it goes 2 units down and then 2 units right. So 2 divided by 2 = 1 as slope.

Interior and Exterior Triangle Angles (0/5)
Please full explanation
I will mark brainlist to whoever answers first

Answers

Answer:

∠R = 69

Step-by-step explanation:

Angle sum property

Sum of all angles of triangle = 180

5x - 11 + 3x - 3 + 3x + 18 = 180

5x + 3x + 3x -11 - 3 + 18 = 180

Combine like terms

11x + 4 = 180

11x = 180 - 4

11x = 176

x = 176/11

x = 16

∠R = 5x - 11

= 5*16 - 11

= 80 - 11

= 69

Apply angle sum property

5x-11+3x-3+3x+18=18011x+4=18011x=176x=16

m<R

5(16)-1180-1169°

Without using a calculator, determine the value of: sin 60° x tan30° sec45°

Answers

hey there !

We know that ,

Sin 60° = √3/2

Tan 30° = 1/√3

Sec 45° = √2

Now ,

Sin 60° tan 30° sec 45° = √3/2 x 1/√3 x √2

=> √2/2

Hope this helps you.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I've used 'unit triangles' to calculate various trig values without a calculator at all!

Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.

I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.

Please give comments if you need further explanation from me!

Best of luck, Kenny!

This is easy for other students in my class just not me lol

Answers

Answer:

Step-by-step explanation:

Angle FGH = x

Angle FGJ = 25

Angle JGH = 40

Angle FGH = Angle FGJ + Angle JGH

x = 25 + 40

x = 65

The value of x in the diagram is 65.

What is an angle?

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

∠JGH = 40

∠FGJ = 25

Now,

∠JGH + ∠FGJ = x

So,

40 + 25 = x

Solve for x.

x = 40 + 25

x = 65

Thus,

The value of x in the diagram is 65.

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QUICK PLEEEASEEEEEEEEE

Answers

Answer:

c) 2

Step-by-step explanation:

By definition The mode is the most repeated number in the data-set.

Find the surface area of the prism.
10 ft length
1 ft height
5 ft width

Answers

Answer:

Surface Area = 130 sq ft

Step-by-step explanation:

If you don't have a picture, draw a picture so you can see what's up. See image. Surface area is the area of all the faces of a 3d shape (a solid) all added up. This solid is a box. It has six faces. Each face is a rectangle. The top and bottom are the same. The front and back are the same. The left and right sides are the same. See image.

Area of a rectangle is:

A = l × w

Area of the top:

5 × 10 = 50

Area of the bottom also 50.

Area of the left side:

1 × 5 = 5

Area of the right side is also 5.

Area of the front:

1 × 10 =10

Area of the back is also 10.

ADD up all 6 areas:

50+50+5+5+10+10

Surface area = 130

Area has square units.

SA = 130 square ft

Two friends each had an auto loan of $20,000. One was repaid at
8% in 3 years at about $625 per month, and the other at 8% in 5
Years at about $405 per month. The total of the payments for the 5-year loan is how much more than the total for the 3-year loan?

Answers

Answer:

1,800 more

Step-by-step explanation:

12 × 3 = 36 months

$625 × 36 = $22,500

12 × 5 = 60 months

$405 × 60 = $24,300

$24,300 - $22,500 = $1,800

the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.

You spin the spinner once, what is P(not even)
There is three parts to the spinner

Answers

Answer:

dad

Step-by-step explanation:

I NEED THE ANSWER TO THIS QUESTION ASAP

Answers

Answer:

Step-by-step explanation:

Add 15,181 and 137 then for part b subtract 15,181 and 4,893 and that's a way higher number than 4,893 and 137

Answer:

Step-by-step explanation:

+ 15,181 ft.

- 137 ft.

d = | 15,181 - ( - 137 ) | = 15,318 ft.

15,318 ÷ 2 = 7,659 ft. > ( 4,893 + 137 ) ft.

⇒ the answer is (B).

What is it called when your point is right on the Y axis?

Y Intercept

Slope- intercept

Answers

Answer:

y intercept

Step-by-step explanation:

A box is 50 cm long. Which of these is the closet to the length of this box in feet ? (1 inch = 2.54cm)

Answers

19 feet is the closest without going over 50cm

Answer:

1ft 7.7in/1.64 ft

Step-by-step explanation:

50/2.54=19.69in

12in=1ft

so 1ft 7.7in

19.69/12=1.64

Convert the into millimetres.
A. 234cm
B. 15m
C. 25km

Answers

A. 234 cm

multiply the given length value ( 234 ) by 10.

[tex]234 \times 10[/tex]

[tex] = 2340 \: mm[/tex]

B. 15m

multiply the given length value ( 15 ) by 1000.

[tex]15 \times 1000[/tex]

[tex] = 15000 \: mm[/tex]

C. 25km

multiply the length value ( 25 ) by 1000000.

[tex]25 \times 1000000[/tex]

[tex] = 25000000 \: mm[/tex]

234 × 10

= 2340 millimeters

15 × 1000

= 15000 millimeters

25 × 1000000

= 25000000 millimeters

_X 11 = 99 what is the missing number ?

Answers

Answer:

missing number its 9

Step-by-step explanation:

Ti find the answer you divide 99 by 11 and you find your answer

somebody please help me with this question!

Answers

Answers:

P(A) = 7/12

P(B) = 1/2

=====================================================

Explanation:

To see how I calculated P(A), check out this link to this very similar question

https://brainly.com/question/27669586

--------------------

Now to calculate P(B)

If a number is divisible by 2, then the number is a multiple of 2.

In other words, the number is even.

Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.

Here's a further breakdown

1 copy of "2"3 copies of "4"5 copies of "6"5 copies of "8"3 copies of "10"1 copy of 12

Side note: We have nice symmetry going on.

There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.

P(B) = 18/36 = (1*18)/(2*18) = 1/2

Version B
We have worked with Ferris Wheels above
ground, but what if a portion of it went
underground and traveled in a clockwise
direction?

Details;
The Ferris Wheel has a diameter of 80
ft
The Ferris Wheel center is 20 feet
below the ground
The Ferris Wheel rotates in a clockwise
direction
The rider enters on ground level on
the right side of the wheel.
It takes 1 minute for 1 ½ rotations.

Your task:
Sketch a diagram that showcases this
scenario with labels and
measurements.
Determine the angular speed.
Develop an equation for the height of
the rider while on the ride.
Construct a graph (height vs. time).
Make sure both axes are labeled with
all landmark points.
Provide a statement, explaining the
relationship between your graph and
the rider's position on the wheel.
When will they be above ground and
below?
Calculate the rider's total distance
traveled from the moment they get on
at ground level on the right to the
other point on ground level on the left
where they get off.

Answers

An example of how to sketch the Ferris Wheel diagram is given in the image attached.

What is the angular speed about?

To solve for the angular speed, you can use the formula of"

Given that the diameter is 80 feet, so we know the radius will be 40 feet.

The Ferris wheel bottom is 20 feet high, so we add the radius we get that the middle of the Ferris wheel is 60 feet high.

Finally, the Ferris wheel completes 1 ½ rotation (2π radians) in 1 minutes. So we say that the Ferris wheel is said to spins at π rad/min.

Angular velocity ( 1 ½ rev/1min)( 1min/60 sec)

C = 2π(60)

C ≈ 377.04 feet

540 revolution (1 ½ rotations) is 60 seconds, the speed is then

s = d/t

s = 377.06 ft / 60 sec

s = 6.28 ft/sec

To plot the graph, the final equation will be h(t) = 40sin(πt + π/2) + 60.

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Which is the apparent solution set of the system of equations graphed on the grid? a. {(0,0), (3,0)} b. {(0,-2), (1,0)} c. {(0,0), (1.5,2.25)} d. {(-1,-4), (2,2)}

Answers

The apparent solution set of the system of equations graphed on the grid is {(-1,-4), (2,2)}

How to determine the solution?

The point of intersection of the curves or lines on a graph is the solution of the system of equations

From the complete question, the lines intersect at approximately

(-1,-4) and (2,2)

Hence, the apparent solution set on the grid is {(-1,-4), (2,2)}