It has to be the original figure but it is in a different spot on the graph
Answer:
Step-by-step explanation:
![[(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000](https://tex.z-dn.net/?f=%5B%286%5E%7B2%7D%2B8%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B3%7D%20%3D%20%5B%2836%2B64%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B3%7D%5C%5C%5C%5C%3D%20%5B%28100%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B3%7D%5C%5C%5C%5C%3D%2010%5E%7B3%7D%5C%5C%5C%5C%3D%201000)
Answer:
∠RQS = 156
Step-by-step explanation:
m∠TQS = 24
∠TQS and ∠RQS are linear pair. Linear pair are two adjacent angles and their sum is 180
∠TQS + ∠RQS = 180
24 + ∠RQS = 180
∠RQS = 180 - 24
∠RQS = 156
Answer:
102,000
Step-by-step explanation:
Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6