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3 years ago

Write an equation of the line that passes through the point (3,0) and has the slope, m = -2.

1 answer:

6 0

The equation of a line is Y=mx+b
You know that the slope is -2 and the slope is 'm' so sub it into the equation.
Y=-2x+b
To have an equation of a line you need the 'b' or 'y' intercept and the slope.
This means you have to find the 'b' because you already know the slope which is -2. To find the 'b' you have to sub in the coordinates and then solve for 'b'
Y=-2x+b
(x,y)
(3,0)
0=-2(3)+b
0=-6+b
6=b
Therefore the equation of the line is Y=-2x+6 <span />

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3 years ago

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3 years ago

The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

MrRa [10]

radius = 3 feet

rearrange the formula making r the subject

$\frac{4}{3}$ πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

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take the cube root of both sides

r = $\sqrt[3]{27}$ = 3

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2 years ago

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. (Use Pi = 3.14) SHOW WORK!

Ipatiy [6.2K]

Answer:

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Step-by-step explanation:

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3 years ago

1.Write this sentence as an equation.Do not solve it.

Ivahew [28]

Problem 1

x = some unknown number

3x = three times a number

3x-7 = difference of three times a number and seven

2(3x-7) = two times the difference of three times a number and seven

2(3x-7) = x

The last equation is formed because the expression we built up is equal to the original number in question

<h3>Answer: 2(3x-7) = x</h3>

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Problem 2

Use the distribution rule to get

3(2x+4)-2x

3*2x+3*4-2x

6x+12-2x

From here, we combine like terms. That means we combine the 6x and -2x to get 4x

So 6x+12-2x simplifies to 4x+12 and not 16x

How did she get 16x? Possibly because she mistakenly thought she could add 4x to 12 to get 16x. This only works if the 12 had x attached to it.

In other words, this is valid: 4x+12x = 16x but this is not 4x+12 = 16x

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Problem 3

L = length = horizontal dimension = (d+15) ft

W = width = vertical dimension = (d-3) ft

P = perimeter of the rectangle = 108 ft

P = 2(L+W)

108 = 2(d+15+d-3)

108 = 2(2d+12)

108 = 4d+24

4d+24 = 108

4d = 108-24

4d = 84

d = 84/4

d = 21

The deep end is 21 feet long.

This means the overall horizontal length is d+15 = 21+15 = 36 feet and the the vertical width is d-3 = 21-3 = 18 feet

The overall dimensions of the rectangular pool are 36 ft by 18 ft

<h3>Answer: d = 21</h3>

7 0

3 years ago