Hey there! :)
Answer:
Option C.
Step-by-step explanation:
A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:
Slope of perpendicular line = -3/2.
Remember, the equation for solving for the slope is:
![m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%5Ctext%7Brise%7D%7D%7B%5Ctext%7Brun%7D%7D%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
We must find points that when plugged into this equation, equal to -3/2.
Plugging in the points in option A:
![\frac{2}{3} \neq \frac{-3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5Cneq%20%5Cfrac%7B-3%7D%7B2%7D)
Option B:
![\frac{3}{4} \neq \frac{-3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%5Cneq%20%5Cfrac%7B-3%7D%7B2%7D)
Option C: This is the correct answer.
![\frac{-3}{2} = \frac{-3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B2%7D%20%3D%20%20%5Cfrac%7B-3%7D%7B2%7D)
Option D:
![\frac{2}{10}\neq \frac{-3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B10%7D%5Cneq%20%5Cfrac%7B-3%7D%7B2%7D)
The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.
Answer:
2x+8
Step-by-step explanation:
(x+4)(2)
=(x+4)(2)
=(x)(2)+(4)(2)
=2x+8
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Hope this helps
Answer:
60
Step-by-step explanation:
perimeter (p) = 8 + 17 + 15 = 40
semi-perimeter (s) = p/2 = 20
Area = square root of s(s-a)(s-b)(s-c) where a,b,c are the sides of the triange by Herons formula.
Therefore, area = 20(20-8)(20-15)(20-17) = square root of 3600 = 60