Problem 1
Answer: Direct variation; k = 1/4
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Explanation:
We can rewrite the given equation y = x/4 into y = (1/4)x. Then note how it's in the form y = kx. In this case, k = 1/4. In decimal form, this is k = 0.25
All direct variation equations are in the form y = kx. The value of k is the constant of variation.
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Problem 2
Answer: Inverse variation; k = 9
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Explanation:
The equation 9/y = x rearranges to xy = 9.
We can then solve for y to get y = 9/x
This is in the form y = k/x, where k = 9
All inverse variation equations are in the form y = k/x, with k as the constant of variation.
It should be 7,620 since 10x10x10 is 1,000 and you multiply that by 7.62 and it equals 7,620
Answer:
225
Step-by-step explanation:
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= 7(x^2 + y^2 - 4x + 6y - 5)= 0
= 7( (x - 2)^2 - 4 + (y + 3)^2 - 9 - 5) = 0
= 7[ (x - 2)^2 + (y + 3)^2 - 18) = 0
center is at (2,-3) and radius = sqrt18 = 4.24 units