Answer:
<h2>a = 16</h2>
Step-by-step explanation:
Look at the picture.
The formula of an area of a trapezoid is:

- bases
- height
We have:

Substitute:

<em>divide both sides by 8</em>

Answer:
They are parallel
Step-by-step explanation:
Same slope but different y-intercept
Hello.
First off, you can factor this equation to find the missing x-intercept.
y = x² + 8x + 12
y = (x + 6)(x + 2)
Then, you can use the zero product property to find the x values.
x + 6 = 0 x + 2 = 0
- 6 - 6 - 2 - 2
x = -6 x = -2
As an ordered pair: (-6, 0) and (-2, 0)
Thus, your answer is x = -6, -2.
Answer:
165 combinations possible
Step-by-step explanation:
This is a combination problem as opposed to a permutation, because the order in which we fill these positions is not important. We are merely looking for how many ways each of these 11 people can be rearranged and matched up with different candidates, each in a different position each time. The formula can be filled in as follows:
₁₁C₃ = 
which simplifies to
₁₁C₃ = 
The factorial of 8 will cancel out in the numerator and the denominator, leaving you with
₁₁C₃ = 
which is 165