Answer:
C(5,-9) and r=8.
Step-by-step explanation:
C(p, q) - center
r=radius
k:x^2 +y^2 +dx+ey+f=0
x^2+y^2 - 10x+18y+42=0
d=-10, e=18, f=42
p=-d/2=-(-10)/2=10/2=5
q=-e/2=-18/2=-9
r^2 =p^2+q^2-f
r^2 =5^2 +(-9)^2 - 42
r^2=25+81-42
r^2 =106-42
r^2 =64
r=sqrt(64)
r=8
C(p,q)=C(5,-9) r=8
Answer:
(X+Y+3)(X+Y-4)
= X^2+XY-4X+XY+Y^2_4Y+3X+3Y-12
=X^2+Y^2+2XY-X-Y-12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Identify the slope, m. calculate slope between two known points of the line using the slope formula.
Find the y-intercept. substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Answer:
4x^2-x-4
Step-by-step explanation:
f(x) = 4x^2-3 and g(x) = x+1,
(f - g)(x)= 4x^2-3 -( x+1)
Distribute the minus sign
=4x^2-3 - x-1
Combine like terms
=4x^2-x-4