Hello from MrBillDoesMath!
Answer:
Choice B.
Discussion:
From the first step
324 x^6 y^ 8 =
2^2 * 3^4 * x^2 * x^4* y^8
so the fourth root of this is
2 ^(2/4)* 3^(4/4) x^(2/4)* x^(4/4)*y^(8/4) =
2^ (1/2) * 3^1 * x^(1/2) * x^(1)* y^ (2) =
(2x)^(1/2) * 3 * x * y^2 =
3 * x * y^2 * sqrt(2x) =
3 * x * y^2 * ( (2x)^2) ^ (1/4)) =
3 * x * y^2 * (4x^2) ^ (1/4)
which is choice B
Thank you,
MrB
Answer:
x=0
Step-by-step explanation:
You can combine the equation to get 2sin(3/2 +x) = -2
divide both sides by 2 and you get the equation equal to -1. sin is equal to -1 when the value inside is 3/2 so this is the answer.
Answer:
6 hours
Step-by-step explanation:
We can use ratios to solve
10 hours x hours
-------------- = -------------
15 logs 9 logs
Using cross products
90 = 15x
Divide by 15
90/15 = 15x/15
6 = x
6 hours
-3x-2y=10
-2y=3x+10
y=-3/2x -5
If you put x as a value of 0 you will get that the y-intercept will end up being -5
Answer:
2√2
Step-by-step explanation:
< C = 180-15-45 = 120°
AC/sin 45° = AB/sin 120°
AC = 2√3 × sin 45° / sin 120°
= 2√3 × ½√2 / ½√3
= 2√2