Answer:
Make it an y=mx+b equation. -3y=-4x+12
Divide everything by -3
Answer is y=4/3x-4
Step-by-step explanation:
Answer is 43 degrees for #6, and selection C for #7
Answer:
13 1/3 and 6 2/3.
Step-by-step explanation:
Let the 2 parts be x and (20 - x).
So x^2(20 - x) must be a maximum.
y = x^2(20 - x)
y = 20x^2 - x^3
Finding the derivative):
y' = 40x - 3x^2 = 0 for maxm/minm value.
x( 40 - 3x) = 0
40 - 3x = 0
3x = 40
x = 40/3.
This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.
So the 2 numbers are 13 1/3 and 6 2/3.
Answer:
25
Step-by-step explanation:
Expression: <em>(2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸</em>
Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸
Combine like terms: 2¹² • 5²/2¹²
Cancel out: 5²
Solve: 25
Answer:
x10
Step-by-step explanation:
BE=1/2 * CD
x=CB/2
x=20/2
x=10