Answer:
The equation of circle is + = 52
Step-by-step explanation:
Given the endpoints of diameter of a circle: (-16,-16) and (-4,-8)
We know that the equation of circle is given by
+ =
where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.
To find (h,k): the center is midpoint of diameter
Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by
( , )
( , )
(-10, -12)
Hence (h,k) is (-10,-12)
Substituting values of (h.k) and (x.y) as (-10,-12) and (-4,-8) respectively in equation of circle, we get
+ =
= 52
Substituting values of (h.k) and , we get the equation of circle as
+ = 52
Hence the equation of circle is + = 52
Answer:
x = -1, and y = -2, giving you the answer (-1, -2)
Step-by-step explanation:
In the second equation, we're told that y is equal to 2x. With that, we can replace "y" in the first one with "2x", giving us:
-4x - 2x = 6
-6x = 6
x = -1
Now that we know the value of x, we can simply plug it into the first equation to find y:
-4x - y = 6
-4(-1) - y = 6
4 - y = 6
-4 + y = -6
y = -6 + 4
y = -2
So x = -1, and y = -2
Answer:
30 min
Step-by-step explanation:
Answer:
6π
Step-by-step explanation:
First we need to find the circumference of the circle. We know that the radius is 4 and the formula is πd or 2πr
Leaving it in terms of pi, the circumference is 8π
Now we need to find the length of the arc.
Since the missing part of the circle is labeled with a right angle, we know that it's exactly 1/4 of the whole circle. That means the arc we need to find is 3/4 of the circumference.
3/4 of 8π is 6π
Answer: 5
Step-by-step explanation:
5(n-1)-10=2n
5n-5-10=2n
5n-2n = 10+5
3n = 15
n = 15/3
n = 5