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3 years ago

write an absolute value equation to calculate the distance between the two points (4, -2) and (-9, -2)

Mathematics

1 answer:

meriva3 years ago

7 0

9514 1404 393

Answer:

d = |-9-4| = 13

Step-by-step explanation:

The y-values are the same for the two points, so the distance between them on that horizontal line is the difference of x-values.

d = |(-9) -(4)|

d = |-13| = 13

The distance between the points is 13 units.

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Mr. Jones wants to add a cement path around his new pool. The pool has a radius of 7 feet. The cement path will be 1 foot wide a

Aleonysh [2.5K]

The square footage of the path is 47.1 ft²

The area of a circle is:

A = πr²

Where r is the radius of the circle.

Let us assume that the pool is a circle.

Given that the pool has a radius (r₁) of 7 feet and a path 1 foot wide would go round the pool.

Radius of pool and cement path (r₂) = 7 ft + 1 ft = 8 ft.

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Hence The square footage of the path is 47.1 ft²

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2 years ago

The sale price of every item in a store is 75% of its usual price. A. The usual price of a jacket is $80, what is its sale price

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3 years ago

I need help with these two questions ASAP and preferably shown work.. Thank you!

max2010maxim [7]

Just look it up you can find the answers you are looking for

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2 years ago

Read 2 more answers

Dahasolnce [82]

Answer:

Option A is correct.

Step-by-step explanation:

Given

The point (4, -8)

Slope m = 1/4

To determine

What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

substituting the values m = 1/4 and the point (4, -8)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-8\right)=\frac{1}{4}\left(x-4\right)$

$y+8=\frac{1}{4}\left(x-4\right)$

Subtract 8 from both sides

$y+8-8=\frac{1}{4}\left(x-4\right)-8$

$y=\frac{1}{4}x-1-8$

$y=\frac{1}{4}x-9$

Writing the equation in the standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

$y=\frac{1}{4}x-9$

$x=4y+36$

$x - 4y = 36$

Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

$x - 4y = 36$

Hence, option A is correct.

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3 years ago

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fenix001 [56]

Answer:

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