Answer:
a) 5 and 10
b) 15
c) The center-to-center distance is the sum of the radii, so the circles must be tangent.
Step-by-step explanation:
a) Each equation is in standard form:
(x -h)^2 + (y -k)^2 = r^2
so the first circle has radius √25 = 5, and the second circle has radius √100 = 10. The radii of the circles are 5 and 10.
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b) The center-to-center distance can be found from the distance formula:
d = √((x2-x1)^2 +(y2-y1)^2) = √((9-0)^2 +(12-0)^2) = √(81 +144)
d = √225 = 15
The distance between centers if 15 units.
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c) The circles must be tangent because their center-to-center distance is the same as the sum of their radii.
5 + 10 = 15
Answer:
y=3
Step-by-step explanation:
10y-50=-20
first add 50 to both side
10y=30
then divide 10 in the both side
y=30/10
so the answer is y=3
Answer:
V = 54π or V = 169.56 units³
Step-by-step explanation:
The volume of a cylinder is given by the formula:
V = πr²h
If we use 3.14 as pi we get this:
V = (3.14)×(3)²×(6)
V = 3.14×9×6
V = 3.14×54
V = 169.56
Since it is volume the units will be units³
So our final answer is 169.56 units³
If you wanted an exact in pi form you would do the same steps but not simplify pi:
V = πr²h
V = π×(3)²×6
V = π×9×6
V = 54π
Answer:
9
Step-by-step explanation:
if you substitute a for 3 and b for 2 you should get 9
The formula of a slope:
We have the points (4, 1) and (2, 5). Substitute:
<h3>Answer: The slope is -2.</h3>