Answer:
A (6)
Step-by-step explanation:
first, let's rearrange the polynomial (just to make it more clear)
![P(x)=-2^2+x^6-4x+1](https://tex.z-dn.net/?f=P%28x%29%3D-2%5E2%2Bx%5E6-4x%2B1)
p(x) = ![x^6-4x-4+1](https://tex.z-dn.net/?f=x%5E6-4x-4%2B1)
the highest exponent here is 6, meaning that the correct option is A (6)
hope this helps!
-1(x + 5) = -x - 5
-1(x - 5) = -x + 5
-(x + 3) = -x - 3
-(x - 3) = -x + 3
Answer:
![m = 3\sqrt{2}](https://tex.z-dn.net/?f=%20m%20%3D%203%5Csqrt%7B2%7D%20)
![n = 3\sqrt{2}](https://tex.z-dn.net/?f=%20n%20%3D%203%5Csqrt%7B2%7D%20)
Step-by-step explanation:
Reference angle = 45°
Opposite = m
Adjacent = n
Hypotenuse = 6
✔️To find m, apply SOH:
Sin 45 = Opp/Hyp
Sin 45 = m/6
m = 6 × Sin 45
(sin 45 = 1/√2)
![m = \frac{6}{\sqrt{2}}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B6%7D%7B%5Csqrt%7B2%7D%7D%20)
Rationalize
![m = \frac{6*\sqrt{2}}{\sqrt{2}*\sqrt{2}}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B6%2A%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%2A%5Csqrt%7B2%7D%7D%20)
![m = \frac{6\sqrt{2}}{2}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B6%5Csqrt%7B2%7D%7D%7B2%7D%20)
![m = 3\sqrt{2}](https://tex.z-dn.net/?f=%20m%20%3D%203%5Csqrt%7B2%7D%20)
✔️To find n, apply CAH:
Cos 45 = Adj/Hyp
Cos 45 = n/6
n = 6 × Cos 45
(cos 45 = 1/√2)
![n = \frac{6}{\sqrt{2}}](https://tex.z-dn.net/?f=%20n%20%3D%20%5Cfrac%7B6%7D%7B%5Csqrt%7B2%7D%7D%20)
Rationalize
![n = \frac{6*\sqrt{2}}{\sqrt{2}*\sqrt{2}}](https://tex.z-dn.net/?f=%20n%20%3D%20%5Cfrac%7B6%2A%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%2A%5Csqrt%7B2%7D%7D%20)
![n = \frac{6\sqrt{2}}{2}](https://tex.z-dn.net/?f=%20n%20%3D%20%5Cfrac%7B6%5Csqrt%7B2%7D%7D%7B2%7D%20)
![n = 3\sqrt{2}](https://tex.z-dn.net/?f=%20n%20%3D%203%5Csqrt%7B2%7D%20)