We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
Again
1000kg = 1ton
3000kg = 3 tons
Answer:
question 1 , area= 42.02 sq meter, circumference=22.98 meter
question 2, area=481.609sq meter, lenght of BC=263.3472 meter
for convience i converted yards to meter.
Step-by-step explanation:
in first question to find area of circle by multiplying value of pi (3.14) and square of radius of circle and to find circumference just multiply 2 with value of pi(3.14) and radius of circle.
in the second question to find area of sector use formula 1/2 r^2 x72 and to find lenght of arc bc use formula length= radius x 72
3x + 2y - 2x + y + 12 —> x + 3y + 12
4y + 3y + 3x - 6y - 10 -2 —> 3x + y - 12
12 - 3y - 2x + x + 2x —> x - 3y + 12
x + 3y + 2x - 3x + 7 + 5 —> 3y + 12
