Its about finding the equation of a circle from its general form equation:
x^2 + y^2 + 8x - 4y - 61 = 0
x^2 + 8x + 16 + y^2 - 4y + 4 = 61 + 16 + 4
(x + 4)^2 + (y - 2)^2 = 81
therefore the center is C(-4, 2), and the radius is 9
Answer:
∠ 1 = 120°
Step-by-step explanation:
5x + 15 and 3x - 3 are same- side interior angles and sum to 180° , then
5x + 15 + 3x - 3 = 180 , that is
8x + 12 = 180 ( subtract 12 from both sides )
8x = 168 ( divide both sides by 8 )
x = 21
Then
5x + 15 = 5(21) + 15 = 105 + 15 = 120
∠ 1 and 5x + 15 are corresponding angles and are congruent , so
∠ 1 = 120°
It's called the swapping of domain and range. Even without solving for the inverse function just yet, I can easily identify its domain and range using the information from the graph of the original function: domain is x ≥ 2 and range is y ≥ 0.
Answer:
The area is 260.16 square cm.
Formula:
A=πr2
d=2r
A=1
4πd2=1
4·π·18.22≈260.15529