For lines to be perpendicular their slopes have to be negative reciprocals of one another, mathematically...
m1*m2=-1...in this case:
y=5x/3=1/3 so the slope of the lines is 5/3 so any line that has a slope of:
5m/3=-1,
m=-3/5 is perpendicular to the original line...
Answer:
A) 8 38/44
Step-by-step explanation:
Find Least Common Multiple
3 2/4 + 5 4/11
= 3 22/44 + 5 16/44
= 8 38/44
Answer: 181.25
Step-by-step explanation:
So 4 to 5 is a ratio. Now there is 145 girls, so you figure out 4 multiplied by what is equal to 145. You get 36.25, so you multiply the number 5 by the same number to get your answer. 36.25*5=181.25
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:
