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Leviafan [203]
3 years ago
14

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

feet per second. (Do not use mixed numbers. Round your answers to three decimal places.)
(a) How fast is the top of the ladder moving down the wall when the base is given below?
15 feet away from the wall
_____ ft/sec

20 feet away from the wall
_____ ft/sec

24 feet away from the wall
_____ ft/sec

...?
Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

last one. i can do the first part. put x = distance from top of ladder to the floor, y = distance from base of ladder to the wall (draw a picture) then pythagoras sez

<span><span>x2</span>+<span>y2</span>=25</span>

calculus says

<span>2x<span>x′</span>+2y<span>y′</span>=0</span>

and you are told that

<span><span>y′</span>=2</span>

so you know

<span>2x<span>x′</span>+4y=0</span>

or

<span><span>x′</span>=−<span><span>2y</span>x</span></span>

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Juli2301 [7.4K]

Answer:

1) No

2) No

3)Yes

4)No

Step-by-step explanation:

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1) 4(5c + 3) = (4*5c) + 4*3

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NO

2) 2(8f - 5) = (2*8f) - (2*5)

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NO

3) 3(4g + 7) = (3*4g) + (3*7)

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YES

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NO

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3 years ago
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Step-by-step explanation:

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OLga [1]

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

<h3>What is a rectangle?</h3>

It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

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Then we have

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More about the rectangle link is given below.

brainly.com/question/10046743

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