<span>7x+6y=30
6y = -7x + 30
y = -7/6x + 5
answer:
slope = -7/6</span>
Answer:
Step-by-step explanation:
Draw a triangle and label the sides (picture below):
● the length is 2x+2
● and the width or the height is 6x
The perimeter of a rectangle is the sum of the sides
● P = 2x+2 + 6x + 2x+2 + 6x
Isolate the similar terms
● P = (2x+2x+6x+6x) + (2+2)
● P = 16x + 4
Answer:
![x=8](https://tex.z-dn.net/?f=x%3D8)
Step-by-step explanation:
Given
![AB||CD](https://tex.z-dn.net/?f=AB%7C%7CCD)
![\angle ABC = 5x + 50](https://tex.z-dn.net/?f=%5Cangle%20ABC%20%3D%205x%20%2B%2050)
![\angle BCD = 7x + 34](https://tex.z-dn.net/?f=%5Cangle%20BCD%20%3D%207x%20%2B%2034)
Required
Find x
If
i.e. If AB is parallel to CD, then
![\angle ABC = \angle BCD](https://tex.z-dn.net/?f=%5Cangle%20ABC%20%3D%20%5Cangle%20BCD)
Substitute values for ABC and BCD
![5x + 50 = 7x + 34](https://tex.z-dn.net/?f=5x%20%2B%2050%20%3D%207x%20%2B%2034)
Collect Like Terms
![5x - 7x = -50 + 34](https://tex.z-dn.net/?f=5x%20-%207x%20%3D%20-50%20%2B%2034)
![-2x = -16](https://tex.z-dn.net/?f=-2x%20%3D%20-16)
Multiply through by ![-\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D)
![-\frac{1}{2} * -2x = -16 * -\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%20%2A%20-2x%20%3D%20-16%20%2A%20-%5Cfrac%7B1%7D%7B2%7D)
![\frac{1}{2} * 2x = 16 * \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A%202x%20%3D%2016%20%2A%20%5Cfrac%7B1%7D%7B2%7D)
![\frac{2x}{2} = \frac{16}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%20%3D%20%5Cfrac%7B16%7D%7B2%7D)
![x = \frac{16}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B16%7D%7B2%7D)
![x=8](https://tex.z-dn.net/?f=x%3D8)
2-3=1
4-5=20
1-2=1
i think this is it i have never really been good at this but i think it could be those one
The race is 111.6 m long.
8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1
Add to this the distance to the first hurdle and the distance from the last hurdle:
86.1+15+10.5 = 111.6 m