Answer:
1/2 mile
Step-by-step explanation:
.75 mile /1.5 sections = .5 mile/section
Answer:
see explanation
Step-by-step explanation:
Simplify the radical
![\frac{U}{\frac{1}{f}+\frac{1}{g} }](https://tex.z-dn.net/?f=%5Cfrac%7BU%7D%7B%5Cfrac%7B1%7D%7Bf%7D%2B%5Cfrac%7B1%7D%7Bg%7D%20%20%7D)
= ![\frac{U}{\frac{g+f}{fg} }](https://tex.z-dn.net/?f=%5Cfrac%7BU%7D%7B%5Cfrac%7Bg%2Bf%7D%7Bfg%7D%20%7D)
= ![\frac{Ufg}{g+f}](https://tex.z-dn.net/?f=%5Cfrac%7BUfg%7D%7Bg%2Bf%7D)
Square both sides
T² =
( multiply both sides by (g + f) )
T²(g + f) = Ufg ( distribute left side )
T²g + T²f = Ufg ← subtract Ufg from both sides
T²g - Ufg + T²f = 0 ← subtract T²f from both sides
T²g - Ufg = - T²f ← factor out g from each term on the left side
g(T² - Uf) = - T²f ← divide both sides by (T² - Uf)
g = -
= ![\frac{T^2f}{Uf-T^2}](https://tex.z-dn.net/?f=%5Cfrac%7BT%5E2f%7D%7BUf-T%5E2%7D)
Four order pairs are ( 2, 5 ), ( 4, 8 ), ( 6, 11 ), ( 0, 2). All those I cited are whole numbers so that should help plot them, and from there get a ruler or straight edge and align all the dots to create the line for the equation. The equation you gave was the standard form which was created out of the formula to find a equation it's y = mx + b, there could be small variations made. How I know it's proportional is because all linear equations are. But if that's not enough I also know since there's a ratio or pattern that it follows and doesn't stray from. In more depth, porportional relationship is a ratio between y and x which is the same thing everytime shown if simplified.
Answer: D) (2,0)
Step-by-step explanation:
These are your values.
![(-2,4);(6,-4)](https://tex.z-dn.net/?f=%28-2%2C4%29%3B%286%2C-4%29)
Remember this means;
![(x_1,y_1);(x_2,y_2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3B%28x_2%2Cy_2%29)
The formula for finding the midpoint of a segment is simple. Add both x's and y's and divide them by 2 separately. Or, if you like to follow formulas, here you go.
Let M be midpoint.
![M=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D)
![M=\frac{-2+6}{2},\frac{4+(-4)}{2}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7B-2%2B6%7D%7B2%7D%2C%5Cfrac%7B4%2B%28-4%29%7D%7B2%7D)
![M=\frac{4}{2} ,\frac{4-4}{2}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7B4%7D%7B2%7D%20%2C%5Cfrac%7B4-4%7D%7B2%7D)
![M=\frac{4}{2} ,\frac{0}{2}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7B4%7D%7B2%7D%20%2C%5Cfrac%7B0%7D%7B2%7D)
![M=2,0](https://tex.z-dn.net/?f=M%3D2%2C0)