Answer:
13
Step-by-step explanation:
x+5=3x+2
5=2x+2
3=2x
x=1.5
1.5+5=6.5
6.5 is half of DF, DF=13
Answer:
![y=\frac{1}{2}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4)
Step-by-step explanation:
The equation of a linear function in a slope-intercept form is written as
![y=mx+q](https://tex.z-dn.net/?f=y%3Dmx%2Bq)
where
m is the slope of the line
q is the y-intercept
We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.
From the graph, we see that this occurs at y = 4, therefore the y-intercept is
![q=4](https://tex.z-dn.net/?f=q%3D4)
Now we have to find the slope. We do that by choosing two points along the line, with coordinates
and
and by using the equation
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here we take the two points:
(0,4)
(-8,0)
So the slope is
![m=\frac{4-0}{0-(-8)}=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-0%7D%7B0-%28-8%29%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore, the equation of the line is
![y=\frac{1}{2}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4)
9units sorry for not showing work though but glad I can help
All I can tell you is 12x16=192
Hello!
The formula for the volume of a sphere is
³.
Let's plug in our radius.
![\frac{4}{3} \pi (1,000)](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%281%2C000%29%20)
As we are not looking for an exact answer,we can look for an answer in terms of pi. Maybe we could multiply our fraction by 1,000.
![\frac{4000}{3} \pi](https://tex.z-dn.net/?f=%20%5Cfrac%7B4000%7D%7B3%7D%20%5Cpi%20%20)
Therefore, our answer is D.
I hope this helps!