Answer:
A. Constant of proportionality : Yes
B. Origin : No.
C. Inverse : No.
D. Rise per run : Yes
E. Unit rate : Yes.
Step-by-step explanation:
We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.
A. Constant of proportionality: Yes
B. Origin: No.
C. Inverse: No.
D. Rise per run: Yes
E. Unit rate: Yes.
The constant of proportionality, the rise per run and the unit rate are equivalent to slope in a proportional relationship. (Answer)
Answer:
37.5 ![units^2](https://tex.z-dn.net/?f=units%5E2)
Step-by-step explanation:
As the area of each of the side of the cube are the same we can multiply the area of one side by 6.
The area of one side is
![2.5*2.5=6.25\\\\6.25*6=37.5](https://tex.z-dn.net/?f=2.5%2A2.5%3D6.25%5C%5C%5C%5C6.25%2A6%3D37.5)
Answer:
hi
Step-by-step explanation:
hope it helps
have a nice day
Answer:
y = -6x + 7.5
Explanation:
To find <u>perpendicular bisector</u> equation:
Given points: B(-2, 1), C(4, 2)
First find slope:
![\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points](https://tex.z-dn.net/?f=%5Csf%20slope%3A%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2-%20x_1%7D%20%5C%20%5C%20%20where%20%5C%20%28x_1%20%2C%20%5C%20y_1%29%2C%20%28%20x_2%20%2C%20%5C%20y_2%29%20%5C%20are%20%5C%20points)
![\sf slope: \dfrac{2-1}{4-(-2)} } = \dfrac{1}{6}](https://tex.z-dn.net/?f=%5Csf%20slope%3A%20%5Cdfrac%7B2-1%7D%7B4-%28-2%29%7D%20%20%7D%20%3D%20%5Cdfrac%7B1%7D%7B6%7D)
Then the <u>perpendicular slope</u> will be <u>negatively inverse</u>.
![\sf perpendicular \ slope \ (m) : -(\dfrac{1}{6} )^{-1} = -6](https://tex.z-dn.net/?f=%5Csf%20perpendicular%20%5C%20%20slope%20%5C%20%28m%29%20%3A%20-%28%5Cdfrac%7B1%7D%7B6%7D%20%29%5E%7B-1%7D%20%3D%20-6)
Then find the <u>mid point coordinates</u> between BC:
![(x_m, y_m)= \sf (\dfrac{x_1 + x_2}{2} , \dfrac{y_2 + y_1}{2} )](https://tex.z-dn.net/?f=%28x_m%2C%20y_m%29%3D%20%5Csf%20%28%5Cdfrac%7Bx_1%20%2B%20x_2%7D%7B2%7D%20%2C%20%5Cdfrac%7By_2%20%2B%20y_1%7D%7B2%7D%20%29)
![(x_m, y_m) = \sf (\dfrac{-2 + 4}{2} , \dfrac{1 + 2}{2} )](https://tex.z-dn.net/?f=%28x_m%2C%20y_m%29%20%3D%20%5Csf%20%28%5Cdfrac%7B-2%20%2B%204%7D%7B2%7D%20%2C%20%5Cdfrac%7B1%20%2B%202%7D%7B2%7D%20%29)
![(x_m, y_m) = \sf ( 1 , 1.5 )](https://tex.z-dn.net/?f=%28x_m%2C%20y_m%29%20%3D%20%5Csf%20%28%201%20%2C%201.5%20%29)
Then find equation:
y - yₘ = m(x - xₘ)
y - 1.5 = -6(x - 1)
y = -6x + 6 + 1.5
y = -6x + 7.5
Answer:
-45
Step-by-step explanation: no explanation