Which of the following is equivalent to 60^1/2
2 answers:
Answer:
B.
Step-by-step explanation:
We have been given an expression . We are asked to find the equivalent expression to our given expression.
We will use law of exponents to solve our given problem.
Using property we can rewrite our given expression as:
Upon looking at our given choices we can see that option B is the correct choice.
You might be interested in
Answer:
The graph is attached.
Step-by-step explanation:
First we find the slope of the line that would pass through the point of dilation, (-3, 0), and each vertex.
From (-3, 0) to (5, 4), the slope would be
m = (4-0)/(5--3) = 4/8
Since the scale factor is 1/2, this means each part of the slope would be multiplied by this scale factor:
(4(1/2))/(8(1/2)) = 2/4
This means from our point of dilation we count up 2 and over 4; this puts the new point at (-3+4, 0+2) = (1, 2).
From (-3, 0) to (3, 8) the slope is
m = (8-0)/(3--3) = 8/6
Multiplying the rise and run by 1/2, we have
(8(1/2))/(6(1/2)) = 4/3
This means the dilated point would be up 4 and over 3 from (-3, 0), putting it at (-3+3, 0+4) = (0, 4).
From (-3, 0) to (-5, 4), the slope is
m = (4-0)/(-5--3) = 4/-2.
Multiplying the rise and run by 1/2, we have
(4(1/2))/(-2(1/2)) = 2/-1
This means the dilated point would be up 2 and over -1 from (-3, 0), putting it at (-3+-1, 0+2) = (-4, 2).
These three vertices give us the dilated figure.
