Dr. Howser recently purchased two new fish tanks (Tank A and Tank B) to place in the waiting area of his office. Each fish tank
1 answer:
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Answer:
Side Q'S' lies on a line with a slope of -1.
The distance from Q' to the origin is twice the distance from Q to the origin.
Step-by-step explanation:
The explanations are as follows
As we can see from the attached figure that the ΔQ'R'S' is dilated i.e transformation is made or change in size
Now
Based on
(x,y) = (2x,2y)
The intercepts are as follows
For S
(-1,1) = (-2,2)
For Q
(-3,3) = (-6,6)
For S
(2,4) = (4,8)
Based on this we can say that the three above options are correct
We know that x^m * x^n = x^( m + n ).
And the seventh root of x to the fifth power is:![\sqrt[7]{ x^{5} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7B%20x%5E%7B5%7D%20%7D%20)
Therefore:
![\sqrt[7]{ x^{5} } * \sqrt[7]{ x^{5} } = \\ = \sqrt[7]{ x^{5} * x^{5} }= \\ = \sqrt[7]{ x^{10} }= \sqrt[7]{ x^{7} }* \sqrt[7]{ x^{3} }=x* \sqrt[7]{ x^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7B%20x%5E%7B5%7D%20%7D%20%2A%20%20%5Csqrt%5B7%5D%7B%20x%5E%7B5%7D%20%7D%20%3D%20%5C%5C%20%3D%20%5Csqrt%5B7%5D%7B%20x%5E%7B5%7D%20%2A%20x%5E%7B5%7D%20%7D%3D%20%5C%5C%20%3D%20%5Csqrt%5B7%5D%7B%20x%5E%7B10%7D%20%7D%3D%20%5Csqrt%5B7%5D%7B%20x%5E%7B7%7D%20%7D%2A%20%5Csqrt%5B7%5D%7B%20x%5E%7B3%7D%20%7D%3Dx%2A%20%5Csqrt%5B7%5D%7B%20x%5E%7B3%7D%20%7D%20%20%20%20%20)
Answer: D ) x times the seventh root of x cubed.
And the seventh root of x to the fifth power is:
Therefore:
Answer: D ) x times the seventh root of x cubed.