Question

Jackson likes to go running around the perimeters of two fields near his home. The two fields have side dimensions as shown in the diagrams. If the perimeter of rectangle A is f(x) and the perimeter of rectangle B is g(x), which function represents the difference, h(x), in the perimeters of the rectangles? h(x) = 0.5x2 – 3x

h(x) = –x + 2
h(x) = x + 6
h(x) = –x – 6

Answer 1

The answer is D.) -x-6

Explanation:

The question asks for the difference between the two perimeters, so first, you have to find both perimeters. You can do this by adding the equations.

The perimeter is all sides combined, and since the opposite sides are equal, all you have to do is multiply each side by two or add it by itself to get the perimeter.

(x - 1) + (x - 1) = 2x - 2

2x + 2x = 4x

(4x) + (2x - 2) = 6x - 2

Now we do g(x) or B

0.5x + 0.5x = 1x = x

(3x + 2) + (3x + 2) = 6x + 4

(x) + (6x + 4) = 7x + 4

Now that we found the two perimeters, we find the difference by subtracting.

Remember, a negative minus a positive makes the positive negative. Example: 1 - 10 = 11.

I always forget to do this, so just a reminder!

(6x - 2) - (7x + 4) =

(6x - 7x) - ( -2 - 4) =

-x - 6

Hope this helps!!!

Answer 2

D h(x) = –x – 6

Promise to you