Answer:
zeroes: x = -9 and x = -7
Step-by-step explanation:
f(x)=(x+8)^2−1
A "zero" refers to when the y-value on the graph is zero.
0 = (x+8)^2 - 1
1 = (x+8)^2
+ or - 1 = x+8
so break them apart into two equations
x+8 = 1 OR x+8 = -1
x = -7 OR x = -9
You can plug both back in to check that the equation works!
Answer:
1/15p?
Step-by-step explanation:
you’re multiplying p by 1/15 if I understood the question right
Answer:
3) ![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
4)![5\sqrt{13}](https://tex.z-dn.net/?f=5%5Csqrt%7B13%7D)
Step-by-step explanation:
distance between two points:
![d = \sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%20%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D)
we have:
3) (6, -2), (8, -3)
![x_{1} = 6](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%206)
![y_{1} =-2](https://tex.z-dn.net/?f=y_%7B1%7D%20%3D-2)
![x_{2} = 8](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%208)
![y_{2} =-3](https://tex.z-dn.net/?f=y_%7B2%7D%20%3D-3)
so we have:
![d =\sqrt{(8-6)^{2}+ (-3-(-2))^{2}}\\\\d =\sqrt{(2)^{2}+ (-1)^{2}}\\\\d = \sqrt{4+ 1}\\\\d=\sqrt{5}](https://tex.z-dn.net/?f=d%20%3D%5Csqrt%7B%288-6%29%5E%7B2%7D%2B%20%28-3-%28-2%29%29%5E%7B2%7D%7D%5C%5C%5C%5Cd%20%3D%5Csqrt%7B%282%29%5E%7B2%7D%2B%20%28-1%29%5E%7B2%7D%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B4%2B%201%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B5%7D)
4) (7,-8), (-8, 2)
![x_{1} = 7](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%207)
![y_{1} =-8](https://tex.z-dn.net/?f=y_%7B1%7D%20%3D-8)
![x_{2} =-8](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D-8)
![y_{2} =2](https://tex.z-dn.net/?f=y_%7B2%7D%20%3D2)
![d =\sqrt{(-8-7)^{2}+ (2-(-8))^{2}}\\\\d =\sqrt{(-15)^{2}+ (10)^{2}}\\\\d = \sqrt{225+ 100}\\\\d=\sqrt{325}\\\\d=5\sqrt{13}](https://tex.z-dn.net/?f=d%20%3D%5Csqrt%7B%28-8-7%29%5E%7B2%7D%2B%20%282-%28-8%29%29%5E%7B2%7D%7D%5C%5C%5C%5Cd%20%3D%5Csqrt%7B%28-15%29%5E%7B2%7D%2B%20%2810%29%5E%7B2%7D%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B225%2B%20100%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B325%7D%5C%5C%5C%5Cd%3D5%5Csqrt%7B13%7D)
Dont be sad get glad !
Step-by-step explanation:
I hope you feel better, take a walk it feels wonderful outside .