Answer:
diameter = 4√17;
radius = 2√17; and
center: (4,6)
Step-by-step explanation:
The end points J (12,4) and K(-4,8) define the diameter of a circle, as well as the radius and center.
Using the distance formula to find the diameter, d, we get:
d = √ ( (12+4)^2 + (4-8)^2 ) = √ ( 256 + 16 ), or √272 = √(8)(34)
= √(17)(2^4)) = 4√17
and the radius is half that, or 2√17. The coordinates of the center can be found using the midpoint rule: ( [12-4]/2, [4+8]/2 ), or (4, 6).
Answer: Proportional
Step-by-step explanation:
y=3x is a proportional equation. If the value of x increases then y also increases. If the value of x decreases then y also decreases.
Reserve amount
9,000×0.07=630
Loan out
9000-630=8370
Answer:
The number is 21.
Step-by-step explanation:
First you need to solve for n.
So the equation would be 2n = |5n-63|
First you'd subtract 5n from each side, that would give you -3n=|-63|
Then you need to divide each side by -3 to get n=21.
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To check, you can just plug 21 back into the equation.
2(21) = |5(21) - 63|
42 = |105-63|
42 = |42|
42 = 42
Answer:
5 up and 2 to the right
Step-by-step explanation:
The center will be at the same spot as circle D, dilate by 3, then the dilation maps circle C into circle D.
