Answer:
x=0 and x=5
Step-by-step explanation:
x^2 – 5x = 0
Factor out an x
x(x-5) = 0
Using the zero product property
x=0 and x-5 =0
Solving
x=0 x-5+5 = 0+5
x=0 and x=5
Answer:
The center of circle is
Step-by-step explanation:
We need to find the center of the circle of the equation 
Since, the general equation of circle is 
Where (h,k) is center of circle and r is radius.
Re-write the circle equation is
as,

Compare
with 
so, 
Hence, the center of circle is 
For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.
That is to say:

We have the following equation:

So:

Thus:

Thus, a line perpendicular to the given line must have slope 
Option A:

It is not perpendicular!
Option B:

If it is perpendicular!
Option C:

It is not perpendicular!
Option D:

It is not perpendicular!
The correct option is option B
ANswer:
Option B
Answer:
y = -4
Step-by-step explanation:
3y - 2(5y - 7) = -9y + 6 (Given)
3y - 10y + 14 = -9y + 6 (Distribute)
-7y + 14 = -9y + 6 (Add like terms)
2y + 14 = 6 (Add 9y on both sides)
2y = -8 (Subtract 14 on both sides)
y = -4 (Divide 2 on both sides)
You can check by substituting the solution for y:
3(-4) - 2(5(-4) - 7) = -9(-4) + 6
-12 - 2(-20 - 7) = 36 + 6
-12 - 2(-27) = 42
-12 + 54 = 42
42 = 42