Can somebody tell me if this is the right answer. Solve 8 is to 64 as 2 is to x, (x-1)^2=64 (8)^2=64 is
What does x equal?
Why are you squaring anything?
Is 64 the right answer yes or no, to the question I put up there.
x does not equal 64.
8 / 64 = 2 / x
Cross multiply and solve for x.
8x = 128
x = 128/8
x = 16
To determine if (x-1)^2 = 64 is the correct equation for the given problem, let's break down the problem and solve it step by step.
The problem states: "Solve 8 is to 64 as 2 is to x." This is an analogy that can be written as a proportion:
8 is to 64 as 2 is to x
To solve this proportion, we can set up a ratio:
8/64 = 2/x
Now, let's simplify the ratio:
1/8 = 2/x
To eliminate the denominators, we can cross-multiply:
1 * x = 8 * 2
x = 16
Therefore, the value of x is 16.
Now, let's move on to the equation (x-1)^2 = 64 to determine if it is indeed the correct equation.
Plugging the value of x (which we found to be 16) into the equation, we get:
(16-1)^2 = 64
(15)^2 = 64
225 = 64
This is not true, as 225 is not equal to 64. Therefore, the equation (x-1)^2 = 64 is not the correct equation for the given problem.
To summarize, the correct equation for the given problem is 8 is to 64 as 2 is to 16.