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3 years ago

The y intercept of the line is _ , and the slope of the line is _.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

3 0

Answer:

The y-intercept of the line is 1/2, and the slope of the line is 5.

Step-by-step explanation:

$2y+2=10x+3$

$2y=10x+3-2$

$2y=10x+1$

$y=\frac{10x+1}{2}$

$y=\frac{10x}{2} +\frac{1}{2}$

$y=5x+\frac{1}{2}$

$y=mx+b$

$m$ is the slope.

$b$ is the y-intercept.

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What is the value of the expression below? -28÷-4

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Step-by-step explanation: Since a negative divided

by a negative always equals a positive, (-28) ÷ (-4) = +7

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Answer:

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Step-by-step explanation:

Given that :

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3 years ago

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One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length o

docker41 [41]

18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

Solution:

Given that,

A swimming pool is in the shape of a rectangular prism

Length = 20 feet

Width = 10 feet

Height = 5 feet

Find the surface area of prism

$A=2(wl+hl+hw)$

Where, "l" is the length and "w" is the width and "h" is the height

$A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700$

Thus surface area area of prism is 700 square feet

Given that,

One quart of water-resistant paint covers 75 square feet

Therefore,

1 quart paint = 75 square feet

x quart = 700 square feet

This forms a proportion

$1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33$

Thus 9.33 quarts of paint is needed to cover 700 square feet

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3 years ago

You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does

jolli1 [7]

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

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3 years ago

The y intercept of the line is ___ , and the slope of the line is ___.

The y intercept of the line is _ , and the slope of the line is _.