Hello!
First of all, let's undo the square roots by squaring both sides.
6x+2=9x-8
We subtract 9x from both sides.
-3x+2=-8
We subtract 2 from both sides.
-3x= -10
We divide both sides by -3.
x=10/3
I hope this helps!
Answer:
The answer to all of those questions would be x=-1.8
Step-by-step explanation:
7x(x + 1.8) = 0 - Distribute through the Parenthesis -
7x^2 + 12.6x = 0
x(7x + 12.6) = 0
x = 0
7x + 12.6 = 0
7x = -12.6
x = -12.6/7
x = -1.8
so x = 0 or x = -1.8
Answer:
Prime numbes
Step-by-step explanation:
Numbers whose only factors are 1 and itself are called prime numbers.
Such numbers have only two factors.
Examples are: 2, 3, 5, 7 ,9... etc.
Answer:
Step-by-step explanation:
Interchange x and y: (-6, 8) is the image of (8, -6) after a reflection over y = x.
Answer:
y = 2(x-3)^2 -12
y = -4/9(x-2)^2 +7 bonus
Step-by-step explanation:
The vertex form of a parabola is
y = a(x-h)^2 + k where (h,k) is the vertex
y = a(x-3)^2 - 12
We have one point given (0,6)
6 = a (0-3) ^2 -12
6 = a (-3)^2 -12
6 = 9a-12
Add 12 to each side
6+12 = 9a
18 = 9a
Divide each side by 9
18/9 = 9a/9
a=2
y = 2(x-3)^2 -12
We follow the same steps for the bonus
y = a(x-2)^2 +7
Substitute the point into the equation
3 = a (-1-2)^2 +7
3 =a (-3)^2 +7
3 = 9a +7
subtract 7 from each side
3-7 = 9a +7-7
-4 = 9a
Divide by 9
-4/9 =a
y = -4/9(x-2)^2 +7
