Answer:
In two similar geometric figures, the ratio of their corresponding sides is called the scale factor.
To find the scale factor,we need to follow some rules:
locate two corresponding sides, one on each figure.
Write the ratio of one length to the other to find the scale factor from one figure to the other
Answer:
B) −1/4
Step-by-step explanation:
The slope represents the change in y values divided by the change in x values. We can use the formula
slope = (y2-y1)/(x2-x1)
(2,4) (-2,5)
slope = (5-4)/(-2-2)
= 1/-4
slope = -1/4
Answer:
B and A
Step-by-step explanation:
What I did for these problems is plug in the numbers listed for the x-value. For example, in your calculator you’d put; (1/2)^3 and that’d get you 1/8. Then, try it for 8^(2 - 3) which is also 1/8. So, (1/2)^3 = 8^(2 - 3).
The same process for the second problem. 16^(2(7/3) -3) = 4^((7/3) + 1). This should give you 101.59…
I hope this helps :)!
For this case we can apply the Pythagorean theorem to find "x". Taking the rectangle triangle of base 5 we have:

By definition of power properties we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:

Answer:
