Answer:
It is C
Step-by-step explanation:
Answer:
1/(x^(17/12)y^(5/3))
Step-by-step explanation:
We assume you want to simplify the expression. The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Using these "all at once", we can add up the exponents of each of the variables:
x^(-2/3 -2·0 -(1/2)(3/2))·y^(-2/3-(1/2)·2) = x^(-2/3-3/4)y^(-2/3-1)
= x^(-17/12)y^(-5/3)
= 
Answer:
The scale factor is 1/3
Explanation:
Given that the original point is has coordinates (x,y) and that the dilated point has coordinates (x',y'), we can see that:
x' = k * x
y' = k * y
where k is the scale factor
Now, for the given point we have:
original point = (6 , -3)
dilated point = (2 , -1)
Now, applying the above formula, we will find that:
For x-coordinate:
2 = k * 6
k = 2/6
k = 1/3
Check using the y-coordinate:
-1 = k * -3
k = -1 / -3
k = 1/3
From the above, we can confirm that:
k = 1/3
Hope this helps :)