The numerator of a certain fraction is four times the denominator. if 10 is added to both numerator and denominator the resulting fraction is equivalent to 2. what is the original fraction?

Okay so will have x be the denominator. 
Numerator: 4x
Fraction:  which would be equivalent to 4.
If you add 10 to both the numerator and denominator the resulting fraction is

We multiply both sides of the equal side sign times (x + 10) we get...
4x + 10 = 2 * (x + 10)
4x + 10 = 2x + 20
4x - 2x = 20 - 10
2x = 10
x = 5 < denominator
4x = 4 * 5 = 10 < So the fraction is 10/5

X^2 - 4x +(4/2^2) + y^2 + 8y + (8/2^2) = -4 + (4/2^2) + (8/2^2)(x + 2)^2 + (y + 4)^2 = -4 + 4 + 16your center is (-2, -4) and the radius is the sqrt of -4 + 4 + 16 which is 4

Use photo math it it’s so good