Answer:
Graph A
Step-by-step explanation:
![y = {x}^{2} - 6x - 7 \\ plug \: y = 0 \\ {x}^{2} - 6x - 7 = 0 \\ {x}^{2} - 6x + 9 = 7 + 9 \\ (x - 3)^{2} = 16 \\ (x - 3) = \pm 4 \\ x = 4 + 3 \: or \: x = - 4 + 3 \\ x = 7 \: or \: x = - 1](https://tex.z-dn.net/?f=y%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20-%207%20%5C%5C%20plug%20%5C%3A%20y%20%3D%200%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20-%207%20%3D%200%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%209%20%3D%207%20%2B%209%20%5C%5C%20%28x%20-%203%29%5E%7B2%7D%20%20%3D%2016%20%5C%5C%20%28x%20-%203%29%20%3D%20%20%5Cpm%204%20%5C%5C%20x%20%3D%204%20%2B%203%20%5C%3A%20or%20%5C%3A%20x%20%3D%20%20-%204%20%2B%203%20%5C%5C%20x%20%3D%207%20%5C%3A%20or%20%5C%3A%20x%20%3D%20%20-%201)
Its mean graph should intersect x axis at x = 7 and x = - 1. This everything is satisfied by graph A.
I think it’s the third one and the last two. I’m sorry if it’s wrong
Answer:
The value of a is 50°.
Step-by-step explanation:
In an isosceles triangle, 2 sides have the same lengths and same angles so we can assume that the other side of the triangle is 65°.
Given that the total angle of a triangle is 180°, so have to subtract it :
![a = 180 - 65 - 65](https://tex.z-dn.net/?f=a%20%3D%20180%20-%2065%20-%2065)
![a = 180 - 130](https://tex.z-dn.net/?f=a%20%3D%20180%20-%20130)
![a = 50](https://tex.z-dn.net/?f=a%20%3D%2050)
Solve the equation of the function for n.
a(n) = 3n - 20
a = 3n - 20
a + 20 = 3n
(a + 20)/3 = n
n = (a + 20)/3
n(a) = (a + 20)/3
We have that
scale factor=3
we know that
[volume new cube]=[scale factor]³*[volume original cube]
[volume new cube]=[3]³*[volume original cube]-----> 27*[volume original cube]
the answer is
<span>the volume increases by a factor of 27</span>