The equation which represents the circle is x²+(y-3)²=36. The correct option is A.
Given that the circle have diameter 12 units and a center that lies on the y-axis.
A circle is a closed curve drawn from a fixed point called the center, and all points on the curve are equidistant from the midpoint of the center.
The standard form for finding the equation of a circle is expressed in the form is
(x-a)²+(y-b)²=r² ......(1)
Where (a,b) is the center and r is the radius.
Given that the diameter is 12.
So, the radius is 12/2=6
It is also given that center lies on the y-axis therefore the center will be (0,3).
Now, we will substitute these values in equation (1), we get
(x-0)²+(y-3)²=6²
x²+(y-3)²=36
Hence, the equation which represents the circle with diameter 12 units and center lies on the y-axis is x²+(y-3)²=36.
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Answer:
y= 1/4 (x -8)
Step-by-step explanation:
x -4y= 20
-4y= -x + 20
y= 1/4 × -5
y - y1 = m (x - x1)
y - 0 = 1/4 (x -8)
y= 1/4 (x -8)
Answer:
The competition took 12.5 minutes.
Step-by-step explanation:
Let the time taken by Achilles to complete the competition is h hours.
Now, Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.
So, the competition was 13h miles long.
Now, Turtle will take h hours to complete h miles of the competition.
Now, given that (13h - h) = 2.5
⇒ 12h = 2.5
⇒ h = 0.208 hours.
⇒ h = 12.5 minutes.
Therefore, the competition took 12.5 minutes. (Answer)
Sorry for the late response, but the formula would be:
Circumference = pi x diameter
Circumference = 3.14 x 8
Circumference = 25.12
Hope this helps!!
