Answer:
y = .25x + 2.5
Step-by-step explanation:
First find the slope which is m in y = mx + b. y = mx + b is the standard form for a line.
m = (y₂-y₁)/(x₂-x₁)
m = (3-1)/(2+6)
m = 2/8
m = 1/4
Plug that in.
y = 1/4x + b
To find b plug in one of the two points and solve.
3 = 1/4(2) + b
3 = 1/2 + b
3 - 1/2 = 1/2 - 1/2 + b
2.5 = b
Answer:
2
Step-by-step explanation:
We take the equation
![x(y+3)/(3+y)z](https://tex.z-dn.net/?f=x%28y%2B3%29%2F%283%2By%29z)
and substitute the values for each individual variable in the problem. It looks like this:
![12(1+3)/(3+1)6](https://tex.z-dn.net/?f=12%281%2B3%29%2F%283%2B1%296)
Now we can solve the equation.
When solved, it equals 2.
2•3=6
I’m not for sure but used photomath
Answer:
height=6 ft
Step-by-step explanation:
-The volume of a rectangular prism is given by the formula:
![V=lwh](https://tex.z-dn.net/?f=V%3Dlwh)
#We make h the subject of the formula the solve for it:
![V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}](https://tex.z-dn.net/?f=V%3Dlwh%5C%5C%5C%5C%5Cfrac%7BV%7D%7Blw%7D%3Dh%5C%5C%5C%5C%5Ctherefore%20h%3D%5Cfrac%7BV%7D%7Blw%7D)
#Substitute to solve for height:
![h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft](https://tex.z-dn.net/?f=h%3D%5Cfrac%7BV%7D%7Blw%7D%5C%5C%5C%5C%3D%5Cfrac%7B72%7D%7B2%5Ctimes%206%7D%5C%5C%5C%5C%3D6%5C%20ft)
Hence, the prism has a height of 6 ft.