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Nadya [2.5K]
3 years ago
7

A rectangle has a width, w, equal to 6 less than the length, l. Which expressions represent ways to find the perimeter of the re

ctangle?
Select ALL that apply.



4 L plus 12
4L−12
2(L−6)+2l
2(6−L)+2l
12+2L+2L
Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

Answer:

4L-12

Step-by-step explanation:

let's assume the length = L

then the width of the rectangle is L - 6

perimeter = 2× (a+b)

where "a" and "b" are the length and the width of the rectangle.

so perimeter = 2× (L + L - 6)

2 × ( 2L - 6)

4L - 12

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Answer:

  (c)  dZ/dt = 11/√544, so moving away at about 0.47 m/s

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

  (x -12)^2 + (y -7)^2 = 25

  2(x -12)x' +2(y -7)y' = 0

  y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

  y' = -(15 -12)/(11 -7)(1) = -3/4

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The distance (z) to the observer is given by the Pythagorean theorem:

  z^2 = (x -0)^2 +(y -2)^2

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The distance d at the point of interest is ...

  z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

  z' = (x(x') +(y -2)y')/z

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Hey You!

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