(5x + 2)/(3x + 32) = 24/48
(5x + 2)/(3x + 32) = 1/2
2(5x + 2) = 3x + 32
10x + 4 = 3x + 32
7x = 28
x = 4
Mid segment = 5(4) + 2 = 20 + 2 = 22
Answer
22
Distribute
(x-3)(x+9)=-27
x^2+6x-27=-27
add 27 to both sides
x^2+6x=0
factor out x
x(x+6)=0
set each to zero
x=0
x+6=0
x=-6
x=0 and or -6
x=-6 or 0
y - 5 = -7(x - 6)
the equation of a line in ' point- slope form ' is
y - b = m(x - a )
where m is the slope and (a, b) a point on the line
here m = - 7 and (a, b ) = (6, 5 )
y - 5 = - 7(x - 6 ) ← in point- slope form
