Answer:
Step-by-step explanation:
Given expression is 
.
Now we need to find the cube root of given expression .
![\sqrt[3]{27a^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27a%5E%7B12%7D%7D)
![=\sqrt[3]{3*3*3a^{4*3}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B3%2A3%2A3a%5E%7B4%2A3%7D%7D)
![=\sqrt[3]{3^3\left(a^4\right)^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B3%5E3%5Cleft%28a%5E4%5Cright%29%5E3%7D)
![=\sqrt[3]{\left(3a^4\right)^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B%5Cleft%283a%5E4%5Cright%29%5E3%7D)
Since cube root and cube are opposite operations of each other. So they will cancel each other.
Hence correct choice is the last choice .
Answer:
6
Step-by-step explanation:
Answer:
P' = (2, -6)
Step-by-step explanation:
In this translation, you just need to substitute x and y into the given translation to find what P' is. (x is -6 since it's the x-value of P, and y is -2 since it's the y-value of P):
where T(x, y) = (x + 8, y - 4) and x = -6 and y = -2,
T(-6, -2) = ((-6) + 8), (-2) - 4) (substitute x and y into the translation)
T(-6, -2) = (2, -6) (add and subtract)
So, P' = (2, -6)
Answer:
7 and 5 are the answers
Step-by-step explanation:
7 is only two more than 5
7 and 5 are also the only two numbers that equal 35
Answer:
x = 63°
Step-by-step explanation:
See the attachment
The measure of the angles in a triangle = 180 . If the sides of a triangle are congruent, then the base angles are equal. So in the triangle with the 72°, you have another angles = 72°. Looking at the same triangle, 72° + 72° + part of the right angle = 180°. Do the math! 72° + 72° = 140°; 180° -144° = 36° (this is the measure of the piece of the right angle that is in the triangle with the 72° angle.. So the other part of the 90°(right angle) = 90° - 36° = 54°.
Now to solve for x: You know that if the sides are congruent in a triangle, then the base angles are equal. Thus this triangle angles are x, x, and 54°.
You know that a triangle = 180°, so x + x + 54° = 180°; 2x +54° = 180°; 2x = 126°; x = 63°
