4x + 6 = -10<span>Simplifying
4x + 6 = -10
Reorder the terms:
6 + 4x = -10
Solving
6 + 4x = -10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 4x = -10 + -6
Combine like terms: 6 + -6 = 0
0 + 4x = -10 + -6
4x = -10 + -6
Combine like terms: -10 + -6 = -16
4x = -16
Divide each side by '4'.
x = -4
Simplifying
x = -4</span>
Distance Formula: 
Point 1: (9,0)
Point 2: (5,-8)
D = sqrt[ (5 - 9)^2 + (-8 - 0)^2 ]
D = sqrt[ (-4)^2 + (-8)^2 ]
D = sqrt[ 16 + 64]
D = sqrt(80)
Hope this helps!
1/3^-2
You flip the denominator and the numerator to make the 3^-2 positive.
3^2/1= 3^2= 9
1/2^-3
2^3/1= 2^3= 8
I can already tell you that the negative exponents are not going to be as high in value.
3^-2= 1/3^2= 1/9
2^-3= 1/2^3= 1/8
1/3^-2 (the first option) <=== the highest in value
I hope this helps!
~kaikers
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
Step-by-step explanation:
interchanging the variables
x = 5y^2 + 10
5y^2 +10 = x
5y^2 = x - 10
dividing by 5
5y^2/5 = x/5 + -10/5
y^2 = x/5 + - 10/5
y^2 = x/5 - 2
y = 5 (x-10) 0/5 (sq.rt)
g(5x^2 + 10) = 5x/5
g(5x^2 + 10) = x
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
<span>y in (-oo:+oo)
(3*y+6)/11 = -9 // + 9
(3*y+6)/11+9 = 0
(3*y+6)/11+(9*11)/11 = 0
3*y+9*11+6 = 0
3*y+105 = 0
(3*y+105)/11 = 0
(3*y+105)/11 = 0 // * 11
3*y+105 = 0
3*y+105 = 0 // - 105
3*y = -105 // : 3
y = -105/3
y = -35
y = -35</span>
