Answer:
This is a linear equation in slope-intercept form.
circumference = 2 x PI x radius
42 = 2 x 3.14 x radius
42 = 6.28 x radius
radius = 42 / 6.28 = 6.687
= 6.69 inches
Answer:
![f(g(1))=11](https://tex.z-dn.net/?f=f%28g%281%29%29%3D11)
Step-by-step explanation:
So we have the two functions:
![f(x)=2x+7\text{ and } g(x)=-3x+5](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B7%5Ctext%7B%20and%20%7D%20g%28x%29%3D-3x%2B5)
And we want to find f(g(1)).
So, let's find g(1) first:
![g(x)=-3x+5](https://tex.z-dn.net/?f=g%28x%29%3D-3x%2B5)
Substitute 1 for x:
![g(1)=-3(1)+5](https://tex.z-dn.net/?f=g%281%29%3D-3%281%29%2B5)
Simplify:
![g(1)=-3+5](https://tex.z-dn.net/?f=g%281%29%3D-3%2B5)
Add:
![g(1)=2](https://tex.z-dn.net/?f=g%281%29%3D2)
So:
![f(g(1))=f(2)](https://tex.z-dn.net/?f=f%28g%281%29%29%3Df%282%29)
Now, substitute 2 for x in f(x):
![f(x)=2x+7\\f(2)=2(2)+7](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B7%5C%5Cf%282%29%3D2%282%29%2B7)
Multiply:
![f(2)=4+7](https://tex.z-dn.net/?f=f%282%29%3D4%2B7)
Add:
![f(2)=11](https://tex.z-dn.net/?f=f%282%29%3D11)
So:
![f(g(1))=11](https://tex.z-dn.net/?f=f%28g%281%29%29%3D11)
Answer:
5/3
Step-by-step explanation:
Answer: m=1
Step-by-step explanation:
Use the equation y=y2-y1 over x2-x1
1. label your points
0=x1
-2=y1
-3=x2
-5=y2
The first pair is x1 and y1 and the next pair is x2 and y2
plug in the numbers to find your answer