Answer:
x = 6 m
Step-by-step explanation:
x = 16sin22°
x = 6.0 m
Answer:
4
Step-by-step explanation:
0, 1, 3, 4, 4, 6, 6, 8
Cross off each side until you get to the middle
1, 3, 4, 4, 6, 6
3, 4, 4, 6
4, 4
You add the 4 and 4 together
8
then divide by 2
8/2=4
Your answer is 4, hope this helped!!!!
Answer:
![(x-4)^2+y^2=16](https://tex.z-dn.net/?f=%28x-4%29%5E2%2By%5E2%3D16)
This is a circle with radius
and center
.
Step-by-step explanation:
Recall the following:
![x=r\cos(\theta)](https://tex.z-dn.net/?f=x%3Dr%5Ccos%28%5Ctheta%29)
![y=r\sin(\theta)](https://tex.z-dn.net/?f=y%3Dr%5Csin%28%5Ctheta%29)
![\frac{y}{x}=\tan(\theta)](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D%5Ctan%28%5Ctheta%29)
![x^2+y^2=r^2](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3Dr%5E2)
We are given
.
Multiply both sides by
:
![r(r)=8\cos(\theta)r](https://tex.z-dn.net/?f=r%28r%29%3D8%5Ccos%28%5Ctheta%29r)
Reorder on right and simplify on left:
![r^2=8r\cos(theta)](https://tex.z-dn.net/?f=r%5E2%3D8r%5Ccos%28theta%29)
We can now make some replacements from our "Recall" section:
![x^2+y^2=8x](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D8x)
We can probably leave like this, but sometimes we are required to put in a more identifying form.
This is a circle. I'm going to write in the form
.
Subtract
on both sides:
![x^2-8x+y^2=0](https://tex.z-dn.net/?f=x%5E2-8x%2By%5E2%3D0)
![x^2-8x+\text{(blank)}+y^2=0+\text{(blank)}](https://tex.z-dn.net/?f=x%5E2-8x%2B%5Ctext%7B%28blank%29%7D%2By%5E2%3D0%2B%5Ctext%7B%28blank%29%7D)
We are going to fill those "blanks" in so that we can complete the square for the
part.
![x^2-8x+(\frac{-8}{2})^2+y^2=0+(\frac{-8}{2})^2](https://tex.z-dn.net/?f=x%5E2-8x%2B%28%5Cfrac%7B-8%7D%7B2%7D%29%5E2%2By%5E2%3D0%2B%28%5Cfrac%7B-8%7D%7B2%7D%29%5E2)
![(x+\frac{-8}{2})^2+y^2=0+(-4)^2](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B-8%7D%7B2%7D%29%5E2%2By%5E2%3D0%2B%28-4%29%5E2)
![(x-4)^2+y^2=0+16](https://tex.z-dn.net/?f=%28x-4%29%5E2%2By%5E2%3D0%2B16)
![(x-4)^2+y^2=16](https://tex.z-dn.net/?f=%28x-4%29%5E2%2By%5E2%3D16)
So our equation is that of a circle with radius
and center
.
Using the slope-intercept form, the slope of the line is 1 (Imagine there is a 1 in front of the x) and the y-intercept is -5. The answer is D.
Answer: but will soon find out
Step-by-step explanation: