Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
Answer:
It would be difficult to factor it...
Step-by-step explanation:
I'm not sure factoring would work so the quadratic formula would be the only way
Answer:
(f ￮ g)(x) = 
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
(f ￮ g)(x)
= f(g(x))
= f(x + 1)
=
2p - 3q - 4r + 6r - 2q + p = 0
2p + p - 3q - 2q - 4r + 6r = 0
3q - 5q + 2r = 0
