Answer:
Equation of circle:
(x-10)² + (y+8)² = 36
Step-by-step explanation:
Given that,
Center of the circle is (10, -8)
and diameter = 12
We know that radius is half of the diameter.
So, radius (r) = = 6
Now we have standard form of circle :
(x - h)² + (y - k)² = r²
Where (h,k) is the center of circle and r is the radius.
Now put the value of h, k and r in circle's equation
h =10
k = -8
r = 6
Equation of circle:
(x-10)² + (y+8)² = 36
That's the final answer.
I hope it will help you.
Answer:
PM = 58
Step-by-step explanation:
The question tells us that the full line has a value of 6x+56. The midpoint divides this line into equal pieces. We are also given the value of half (MQ) of the line (5x+8). By subtracting 5x+8 from 6x+56, we can figure out the value of the other half of the line (PM).
This gives us the expression for PM: x+48
Now, since these are both the two parts of the midpoint, by definition, we know they're equal.
You equal both equations and get x=10
You plug in 10 as x in the expression we got for PM (10+48), which gives us the value 58.
