The supplement of the angle is 16.
To find a supplement, you take the measure of the angle you know and subtract that from 180. So 180-164=16.
Hope this helps! :D
We have been given that 4 is a zero of the polynomial function
. We are asked to find the remaining zeros of function.
Since 4 is a zero of f(x), so
will be a factor of f(x).
Let us divide our function f(x) by
.
![\frac{x^3-6x^2+13x-20}{x-4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3-6x%5E2%2B13x-20%7D%7Bx-4%7D)
![\frac{(x-4)(x^2-2x+5)}{x-4}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-4%29%28x%5E2-2x%2B5%29%7D%7Bx-4%7D)
Now we will cancel out
from numerator and denominator.
![(x^2-2x+5)](https://tex.z-dn.net/?f=%28x%5E2-2x%2B5%29)
Now we will use quadratic formula to solve for x as:
![(x^2-2x+5)=0](https://tex.z-dn.net/?f=%28x%5E2-2x%2B5%29%3D0)
![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(5)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-2%29%5Cpm%5Csqrt%7B%28-2%29%5E2-4%281%29%285%29%7D%7D%7B2%281%29%7D)
![x=\frac{2\pm\sqrt{4-20}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B4-20%7D%7D%7B2%7D)
![x=\frac{2\pm\sqrt{-16}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B-16%7D%7D%7B2%7D)
![x=\frac{2\pm\sqrt{-1\cdot 16}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B-1%5Ccdot%2016%7D%7D%7B2%7D)
Now we will use
.
![x=\frac{2\pm\sqrt{i^2\cdot 16}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7Bi%5E2%5Ccdot%2016%7D%7D%7B2%7D)
![x=\frac{2\pm 4i}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%204i%7D%7B2%7D)
![x=\frac{2(1\pm 2i)}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%281%5Cpm%202i%29%7D%7B2%7D)
![x=1\pm 2i](https://tex.z-dn.net/?f=x%3D1%5Cpm%202i)
![x=1-2i\text{ or }x= 1+2i](https://tex.z-dn.net/?f=x%3D1-2i%5Ctext%7B%20or%20%7Dx%3D%201%2B2i)
Therefore, other two zeros of function are
.
Slope intercept form: y=-3x-18
Answer:
1. 50.26548
2. 12.56637
3. 3.14159
4. 201.06193
5. 113.09734
6. 38.48451
7. 63.61725
8. 153.93804
9. 28.27433
10. 19.63495
Step-by-step explanation:
The formula is A = pi r^2
Hope this helps! Please award brainiest if its correct!
Answer:
The slope is -5/7
Step-by-step explanation:
Slope is rise / run. In other words, the change in y / change in x:
![m= \frac{\Delta y}{\Delta x}\\m= \frac{y_2-y_1}{x_2-x_1}\\m= \frac{4-(-1)}{-2-5}\\m= \frac{5}{-7}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%5C%5Cm%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5Cm%3D%20%5Cfrac%7B4-%28-1%29%7D%7B-2-5%7D%5C%5Cm%3D%20%5Cfrac%7B5%7D%7B-7%7D)