The answer is 25 merry christmas and a happy new year
Answer:
The answer would be minute
Step-by-step explanation:
Answer:
4+3(7+4*2) - 100 = -51
Step-by-step explanation:
4+3(7+4*2) - 100
= 4 + 3 (15) - 100
= 4 + 45 - 100
= -51
Hey there,
Your question states: <span>P(x) = -x⁴ + 6x³ + 2x² - 10x - 8 ; P(2)
</span><span>For the function below, use synthetic division or substitution to find the indicated value.
Step #1For </span>
![p](https://tex.z-dn.net/?f=p)
=
![- x^{4} + 6x^{3} + 2x^{2} -10x-8 ](https://tex.z-dn.net/?f=-%20x%5E%7B4%7D%20%2B%206x%5E%7B3%7D%20%2B%202x%5E%7B2%7D%20-10x-8%20%0A%0A%20)
substitute x with 2.
<span>
Step #2</span>
![= -2^{4} +6 * 2^{3} +2*2^{2} -10*2-8=12](https://tex.z-dn.net/?f=%3D%20-2%5E%7B4%7D%20%2B6%20%2A%202%5E%7B3%7D%20%2B2%2A2%5E%7B2%7D%20-10%2A2-8%3D12)
<span>
Your final answer SHOULD be </span>
![\boxed{12}](https://tex.z-dn.net/?f=%5Cboxed%7B12%7D)
I hope this can help you.
~Jurgen
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt
![Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=Slope%28AB%29%3D%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%7D)
Substituting the values we get
![Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1](https://tex.z-dn.net/?f=Slope%28AB%29%3D%5Cdfrac%7B2-4%7D%7B-1-1%7D%3D%5Cdfrac%7B-2%7D%7B-2%7D%3D1%5C%5C%5C%5CSlope%3D1)
Also Slope of line when angle ' θ ' is given as
![Slope=\tan \theta](https://tex.z-dn.net/?f=Slope%3D%5Ctan%20%5Ctheta)
Substituting Slope = 1 we get
![1=\tan \theta](https://tex.z-dn.net/?f=1%3D%5Ctan%20%5Ctheta)
![\tan \theta=1\\\theta=\tan^{-1}(1)](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D1%5C%5C%5Ctheta%3D%5Ctan%5E%7B-1%7D%281%29)
We Know That for angle 45°,
tan 45 = 1
Therefore
![\theta=45\°](https://tex.z-dn.net/?f=%5Ctheta%3D45%5C%C2%B0)
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.