Answer:
I think its D but no hate if not.
centre of the circle =Midpoint of the diameter
centre of the circle=

radius of the circle=

equation of the circle: (x+2)²+(y-3)² = 40
ie.. x²+4x+4+ y²- 6y+ 9=40
ie... x²+y²+4x-6y-27=0
this is the answer......
The equation of a line that passes through

and has a slope of m is

so given the point (3,1) and slope -2
(3,1), (x1,y1)
x1=3
y1=1
m=-2
the equation is
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:
For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2
For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3
Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12
Answer:
8x + 60
Step-by-step explanation:
4(x + 5) + 2(x - 10) + 2(x + 30)
= 4x + 20 + 2x - 20 + 2x + 60 (combine like terms)
= 8x + 60