The perimeter of a rectangle is 85 feet. The length of the rectangle is , 2, ( x + 16 ), and the width is , 3x minus 1, . What is the length of the rectangle?

We know that for a rectangle of length L and width W, the perimeter is:

P = 2*L + 2*W.

In this case, we know that:

P = 85ft = 2*L + 2*W

L = 2*(x + 16)

W = (3*x - 1)

(where i guess that these units are in ft )

This is a system of equations:

Then we can replace the second and third equation into the first one, and get:

85 = 2*2*(x + 16) + 2*(3x - 1)

And solve this for x, we will get:

85 = 4x + 64 + 6x - 2

85 - 64 + 2 = (4 + 6)*x

23 = 10*x

23/10 = x

2.3 = x

Then the measures of the rectangle are:

L = 2*(x + 16) = 2*(2.3 + 16) = 36.6

W = (3*x - 1) = (3*2.3 - 1) = 5.9

The length of the rectangle is 36.6 feet, (and the width is 5.9 feet)

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.