Perimeter of a rectangle = 2(l+w)
Length = 4-7(3x+4y)
=4-21x-28y
Width = 3x(-2y)
=-6xy
Perimeter
=2(4-21x-28y-6xy)
Answer = 8-42x-56y-12xy
Answer:

General Formulas and Concepts:
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Rewrite</u>

<u>Step 3: Differentiate</u>
- Product Rule [Basic Power/Chain Rule]:

- Simplify:

- Rewrite:

- Add:

A and D are both Yes, and the others are No. A steep slope is the greater number, and for a slope to go down and to the right the number must be negative.
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
Evaluate 2^3+5x(6+4)÷2 following Order of Operations rules (PEMDAS):
Work within parentheses is done first, followed by exponentiation, and then mult. and div., and finally add'n. and subtr'n.
Thus, 2^3+5x(6+4)÷2 becomes 2^3+5x(10)÷2
8 + 50x/2
8 + 25x