Answer:
The answer is that the vertex is: (1, 0)
Step-by-step explanation:
Use the "Completing the Square Method":
(x - h)^2 - k = 0, the vertex is (h, -k)
Complete the square:
x^2 + 2x + 1 = 0
x^2 + 2x = -1
(2/2)^2 = 1, add 1 to both sides of the equation.
x^2 + 2x + 1 = -1 + 1
(x + 1)^2 = 0
(x + 1)^2 - 0 = 0 (Just to put a placeholder in for he -k)
The vertex is (1, 0)
Answer:
Step-by-step explanation:
Given
Student council has 6 girls and 3 boys
If two person chosen at random
Probability that first officer is girl and second is a boy
Answer:
10
Step-by-step explanation:
Use the distance formula
Simplify and you get 10
Madeira is the answer I think
Answer:
81 and 9
Step-by-step explanation:
Okay, so if 2 angles are complementary, it means that when they are added together, they equal 90 degrees. So using this, we can make an equation. Let's call one angle x and the other that is 72 less than angle x can be described as x - 72. Now let's make that into an equation.
90 = x + x -72
So in order to solve this, we need to get x by itself. So we need to add 72 on both sides, and the equation should now look like this:
162 = x + x
Now we have to add the x's together.
162 = 2x
Now in order to isolate x, you divide by 2 on both sides.
X = 81
So we now know the larger angle is 81, and the smaller angle which is 72 less, would be 9.
