Answer:
Step-by-step explanation:
(x-6)² + y²-8y = 0
Put the equation into center-radius form.
complete the square
coefficient of the y term: -8
divide it in half: -4
square it: (-4)² = 4²
add 4² to both sides to complete the square and keep the equation balanced:
(x-6)² + (y²-8y+4²) = 4²
(x-6)² + ( y-4)² = 4²
center (6,4)
radius 4
Answer:
m<4 = 44°
Step-by-step explanation:
m<8 = 34°
m<9 = 40°
m<3 = 62°
m<2 = 34° + 40° (exterior angle theorem of a triangle)
m<2 = 74°
m<3 + m<4 + m<2 = 180° (sum of ∆)
62° + m<4 + 74° = 180° (substitution)
m<4 + 136° = 180°
m<4 = 180 - 136 (substitution property of equality)
m<4 = 44°
Answer:
C) (2,7)
Step-by-step explanation:
Answer:
Building and solving an equation, it is found that the coordinates are: (9,0).
We are given two points: A(-9,3) and B(21, -2).
We also want point C(x,y).
C is 3/5 of the way from A to B, thus:
This is used to find both the x-coordinate and the y-coordinate of C.
First, the x-coordinate, considering .
Then we get 9,0
Step-by-step explanation:
