Answer:
-6y-y+2=58
-7y+2=58
-7y=58-2
-7y=56
-7y/-7=56/-7
y=-8
1.
![r=32\,\text{units}\\\\ A=\pi\cdot r^2=\pi\cdot32^2=1024\pi\,\,\text{units}^2](https://tex.z-dn.net/?f=r%3D32%5C%2C%5Ctext%7Bunits%7D%5C%5C%5C%5C%0AA%3D%5Cpi%5Ccdot%20r%5E2%3D%5Cpi%5Ccdot32%5E2%3D1024%5Cpi%5C%2C%5C%2C%5Ctext%7Bunits%7D%5E2)
Answer D.
2.
From secant theorem, we know, that:
![|AE|\cdot|BE|=|DE|\cdot|CE|](https://tex.z-dn.net/?f=%7CAE%7C%5Ccdot%7CBE%7C%3D%7CDE%7C%5Ccdot%7CCE%7C)
and from picture:
![|BE|=x+1\\\\|CE|=x+4\\\\|AE|=11+x+1=x+12\\\\|DE|=1+x+4=x+5](https://tex.z-dn.net/?f=%7CBE%7C%3Dx%2B1%5C%5C%5C%5C%7CCE%7C%3Dx%2B4%5C%5C%5C%5C%7CAE%7C%3D11%2Bx%2B1%3Dx%2B12%5C%5C%5C%5C%7CDE%7C%3D1%2Bx%2B4%3Dx%2B5)
So we can calculate:
To calculate the average rate of change, just plug your points into the basic slope formula
![m= \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20)
. This gives you
![m= \frac{6-0}{0-(-2)} = \frac{6}{2} =3](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B6-0%7D%7B0-%28-2%29%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%3D3)
. This means your average rate of change is 3.
5 - -10 = 15.
The difference between the actual temperature and the wind chill is 15.