Answer:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r = 
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r = 
= 
= 
= 
⇒ r² = ( )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Answer:
The volume of the cylinder is 6,104.16 square meters.
Step-by-step explanation:
Given that a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height, to determine, using 3.14 for pi, which of the following can be used to calculate the volume of the cylinder, the following calculation must be done, knowing that the volume of a cylinder is determined by multiplying Pi by the height by the radius squared, and that the diameter of a circle is twice its radius:
3.14 x 6 x (6x3) ^ 2 = X
18.84 x 18 ^ 2 = X
18.84 x 324 = X
6,104.16 = X
Therefore, the volume of the cylinder is 6,104.16 square meters.
Answer:
53 degrees
Step-by-step explanation:
m<NPQ = 53 degrees
NPQ = 180 - 90 - 37
NPQ = 53 degrees
Hope it helps you love
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D.
The equation is y = 1, so the only number of the range is 1
