Answer:
O : (-3,-4.5)
Step-by-step explanation:
center of circle: O (x.y)
Radius (r) = OA = OB = OC
r² = (x - (-1))² + (y - (-2))² ---- OA²
r² = (x - (-5))² + (y - (-2))² ---- OB²
r² = (x - (-1))² + (y - (-7))² ---- OC²
OA²=OB² : (x - (-1))² + (y - (-2))² = (x - (-5))² + (y - (-2))²
(x+1)² - (x+5)² = 0 x²+2x+1-x²-10x-25 = 0
8x = -24
x = -3
OA² = OC² (x - (-1))² + (y - (-2))² = (x - (-1))² + (y - (-7))²
y²+4y+4 = y² +14y +49
10y = -45
y = - 4.5
O : (-3,-4.5)
Answer: 112 degrees
Step-by-step explanation: In this problem, we are trying to find the m<5.
Notice that <2 and <3 are vertical angles which means they are congruent.
So we know that the m<3 is 68 degrees.
Now, notice that <3 and <5 are same side interior angles because
they lie on the same side of the transversal and on interior of lines a and b.
Now, it's important to understand that
same side interior angles are supplementary.
So we can setup the equation 68 + m<5 = 180.
Subtracting 68 from both sides, we have the m<5 = 112.
So the m<5 is 112 degrees.
Answer:
5/12 3/8 2/3
Step-by-step explanation:
Answer:
a = 36 , b = 6
Step-by-step explanation:
expand the right side using FOIL and compare coefficients with like terms on left side.
(x - b)²
= x² - 2bx + b² , compare to x² - 12x + a , then
- 2b = - 12 ( divide both sides by - 2 )
b = 6
and a = b² = 6² = 36
