Use this diagram to find the measures of the lengths of the sides. the perimeter of the trapezoid on the right is 97 inches.

14 in. , 21 in. , 14 in. , and 48 in.

Step-by-step explanation:

Given : The perimeter of the trapezoid = 97 inches

The sides of the trapezoid are x in., 1.5x in. , x in. ,and  (3.5x-1) in.

We know that the perimeter of any polygon is the sum of all sides.

Thus,

Substitute the value of x in the sides of the trapezoid, we get the sides of  trapezoid as

Hence, the lengths of the sides of the trapezoid are 14 in. , 21 in. , 14 in. , and 48 in.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

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step-by-step explanation:

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