Answer:
angle C and angle D
Step-by-step explanation:
when those two angles are added together, they are to give a total angle of 180°
Answer:
<h3>The answer is 4x</h3>
Step-by-step explanation:
![({64 {x}^{3} })^{ \frac{1}{3} }](https://tex.z-dn.net/?f=%20%28%7B64%20%7Bx%7D%5E%7B3%7D%20%7D%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20)
To solve the expression convert 64 to exponential form
That's
64 = 4³
So we have
![( { {4}^{3} {x}^{3} })^{ \frac{1}{3} }](https://tex.z-dn.net/?f=%28%20%7B%20%7B4%7D%5E%7B3%7D%20%20%7Bx%7D%5E%7B3%7D%20%7D%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20)
Using the rules of indices
That's
![( { {a}^{x} {b}^{y} })^{z} = {a}^{x \times z} . {b}^{y \times z}](https://tex.z-dn.net/?f=%28%20%7B%20%7Ba%7D%5E%7Bx%7D%20%7Bb%7D%5E%7By%7D%20%20%7D%29%5E%7Bz%7D%20%20%3D%20%20%7Ba%7D%5E%7Bx%20%5Ctimes%20z%7D%20.%20%7Bb%7D%5E%7By%20%5Ctimes%20z%7D%20)
So for the above expression we have
![( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } . {x}^{3 \times \frac{1}{3} }](https://tex.z-dn.net/?f=%28%20%7B%20%7B4%7D%5E%7B3%7D%20%20%7Bx%7D%5E%7B3%7D%20%7D%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%3D%20%20%7B4%7D%5E%7B3%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20.%20%7Bx%7D%5E%7B3%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20)
Simplify the expression
We have the final answer as
<h3>4x</h3>
Hope this helps you
Answer:
Step-by-step explanation:
![(1/\sqrt{y} )^{-1/5} = \\(y^{-1/2})^{-1/5} = \\y^{(-1/5)(-1/2)} =\\y^{1/10} = \\\sqrt[10]{y}](https://tex.z-dn.net/?f=%281%2F%5Csqrt%7By%7D%20%29%5E%7B-1%2F5%7D%20%3D%20%5C%5C%28y%5E%7B-1%2F2%7D%29%5E%7B-1%2F5%7D%20%3D%20%5C%5Cy%5E%7B%28-1%2F5%29%28-1%2F2%29%7D%20%3D%5C%5Cy%5E%7B1%2F10%7D%20%3D%20%5C%5C%5Csqrt%5B10%5D%7By%7D)
Correct choice is B
Answer:
Step-by-step explanation:
![slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{3-(-2)}{9-2}\\\\=\frac{3+2}{7}\\\\=\frac{5}{7}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B3-%28-2%29%7D%7B9-2%7D%5C%5C%5C%5C%3D%5Cfrac%7B3%2B2%7D%7B7%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%7D%7B7%7D)