Consider the rectangle.
(a) Express the area of the rectangle as a polynomial. Simplify.
(b) Determine the area when x is 4 in.
(c) Determine the area when x is 7 km.

Step-by-step explanation:

a. The area of a rectangle is width * length. The width is 5x, and the length is 7x-2. This means the area is 5x*(7x-2). Distributing the 5x, we find that the area of the rectangle is 35x^2-10x.

b. To find the area when x is 4, we plug x=4, so 35*4^2-10*4=560-40=520.

c. same as above, we plug x=7, and get 1645 as our area.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

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step-by-step explanation: