Answer:
B
Step-by-step explanation:
substitute
6+4=10
12-3=9
4-9=-5
We have the following equation:
x2 + y2 + 6y - 72 = 0
Rewriting we have:
x2 + y2 + 6y = 72
Complete squares we have:
x2 + y2 + 6y + (6/2) ^ 2 = 72 + (6/2) ^ 2
x2 + y2 + 6y + (3) ^ 2 = 72 + (3) ^ 2
x2 + y2 + 6y + 9 = 72 + 9
x2 + (y + 3) 2 = 81
So, the center is:
(0, -3)
The radio is:
r = 9
Answer:
(0, -3)
r = 9
Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.
Answer: Down below.
Step-by-step explanation:
A horizontal asymptote for a function is a horizontal line that the graph of the function approaches as x approaches ∞ (infinity) or -∞ (minus infinity). ... There are literally only two limits to look at, so that means there can only be at most two horizontal asymptotes for a given function
Answer:
x =147
Step-by-step explanation:
The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)
42+(-124+x) =360-(2x+1)
Combine like terms
x-82 =359-2x
Add 2x to each side
x-82+2x = 359
3x -82 = 359
Add 82 to each side
3x-82+82 = 359+82
3x = 441
Divide by 3
3x/3=441/3
x =441/3 or 147
