Answer:
B. x=1
Step-by-step explanation:
Let us define axis of symmetry first.
The point right in between the two x-intercepts of a quadratic equation is called axis of symmetry.
We have x-intercepts of -3 and 5
In ordered to find the axis of symmetry we have to find their middle intercept
To find the axis of symmetry:
![= \frac{-3+5}{2}\\=\frac{2}{2}\\ =1](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-3%2B5%7D%7B2%7D%5C%5C%3D%5Cfrac%7B2%7D%7B2%7D%5C%5C%20%3D1)
So the axis of symmetry is x = 1 ..
The two triangles would be congruent by sas
I think the answer is graph a. I’m sorry if it is wrong.
D+e=15
-d+e=-5
The ds cancel out so
e=15
e=-5
Add both sides of equations together
2e=10
Divide by 2
e=5
Substitute 5 for e in either equation:
d+5=15
Subtract 5
d=10
(10,5)
Answer:
70
Step-by-step explanation:
four books can be made from eight different books
4 books to be chosen from 8 books
The order does not matters so we use Combination.
four books can be made from eight different books, so we find 8C4
![nCr= \frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=nCr%3D%20%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
![8C4= \frac{8!}{4!(8-4)!}](https://tex.z-dn.net/?f=8C4%3D%20%5Cfrac%7B8%21%7D%7B4%21%288-4%29%21%7D)
![8C4= \frac{8!}{4!(4)!}](https://tex.z-dn.net/?f=8C4%3D%20%5Cfrac%7B8%21%7D%7B4%21%284%29%21%7D)
![8C4= \frac{8*7*6*5*4!}{4!(4)!}=70](https://tex.z-dn.net/?f=8C4%3D%20%5Cfrac%7B8%2A7%2A6%2A5%2A4%21%7D%7B4%21%284%29%21%7D%3D70)