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:
D) 20
Step-by-step explanation:
x^2 + (y - 2)^2=100
This can be rewritten as
(x-0)^2 + (y - 2)^2=10^2
This is in the form
(x-h)^2 + (y - k)^2=r^2
The radius is 10
The diameter is 2 times the radius
d = 2*r = 2*10 = 20
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')
so we have
f(x)=2x+1
replace f(x) with y
y=2x+1
switch x and y
x=2y+1
solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
=y
y=
repplace y with f⁻¹(x)
f⁻¹(x)=
Replace each letter with it's value, so:
= (5*-2) + (-3*2) + 3
= -10 -6 +3
= -13