8r^6s^3 - 9r^5s^4 + 3r^4s^5 - (2r^4s^5 - 5r^3s^6 - 4r^5s^4) =
8r^6s^3 - 9r^5s^4 + 3r^4s^5 - 2r^4s^5 + 5r^3s^6 + 4r^5s^4 =
8r^6s^3 -5r^5s^4 + r^4s^5 + 5r^3s^6 <==
Answer:
4. dy/dx = -2
8. dy/dx = 1/2 x^(-3/2)
10/ dy/dr = 4 pi r^2
Step-by-step explanation:
4. y = -2x+7
dy/dx = -2(1)
dy/dx = -2
8. y = 4 - x^-1/2
dy/dx = - (-1/2x^ (-1/2-1)
dy/dx = 1/2 x^(-3/2)
10. y = 4/3 pi r^3
dy/dr = 4/3 pi (3r^2)
dy/dr = 4 pi r^2
Answer: width = 21, length = 47
<u>Step-by-step explanation:</u>
Length (L) = 2w + 5
width (w) = w
Perimeter (P) = 136
P = 2L + 2w
136 = 2(2w + 5) + 2w <em>substituted the given values above</em>
136 = 4w + 10 + 2w <em>distributed 2 on the right side</em>
136 = 6w + 10 <em>added like terms (4w and 2w)</em>
126 = 6w <em>subtracted 10 from both sides</em>
21 = w <em>divided both sides by 6</em>
Length (L) = 2w + 5
= 2(21) + 5
= 42 + 5
= 47
The simplified version of (xyz^2)^4 is
x^4y^4z^8
Hope this helps :)
Answer:
D
Step-by-step explanation:
17 does not equal -10 therefore it is no solution
