Answer:
20 * 19.52 = 390.40
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remember that you have to do the same to both sides
![\frac{x}{4}+16>34](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%2B16%3E34)
minus 16 both sides
![\frac{x}{4}+16-16>34-16](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%2B16-16%3E34-16)
![\frac{x}{4}+0>18](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%2B0%3E18)
![\frac{x}{4}>18](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%3E18)
mulitply both sides by 4
![\frac{4x}{4}>18*4](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B4%7D%3E18%2A4)
![(x)(\frac{4]{4})>72](https://tex.z-dn.net/?f=%28x%29%28%5Cfrac%7B4%5D%7B4%7D%29%3E72)
![(x)(1)>72](https://tex.z-dn.net/?f=%28x%29%281%29%3E72)
![x>72](https://tex.z-dn.net/?f=x%3E72)
Answer:
<h2>The answer is x = y = 10.</h2>
Step-by-step explanation:
It is given that,
.
Another equation is given by,
.
Putting the value x = 2y - 10, in the second equation, we get
.
![x = 2y - 10 = 20 - 10 = 10](https://tex.z-dn.net/?f=x%20%3D%202y%20-%2010%20%3D%2020%20-%2010%20%3D%2010)
You can tell if two lines are parallel, perpendicular, or neither by looking at their slopes
and
:
- If
, i.e. if the two lines have the same slope, the lines are parallel - If
, the lines are perpendicular - In all other cases, the lines are not parallel nor perpendicular.
Given two points
of a line, the slope is defined as the ratio between the y and x variation:
![m = \dfrac{\Delta y}{\Delta x} = \dfrac{y_B-y_A}{x_B-x_A}](https://tex.z-dn.net/?f=m%20%3D%20%5Cdfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%20%3D%20%5Cdfrac%7By_B-y_A%7D%7Bx_B-x_A%7D%20)
So in this case, we have
![m_1 = \dfrac{2-(-4)}{-2-2} = \dfrac{6}{-4} = -\dfrac{3}{2}](https://tex.z-dn.net/?f=%20m_1%20%3D%20%5Cdfrac%7B2-%28-4%29%7D%7B-2-2%7D%20%3D%20%5Cdfrac%7B6%7D%7B-4%7D%20%3D%20-%5Cdfrac%7B3%7D%7B2%7D%20)
![m_2 = \dfrac{3-6}{5-3} = \dfrac{-3}{2} = -\dfrac{3}{2}](https://tex.z-dn.net/?f=%20m_2%20%3D%20%5Cdfrac%7B3-6%7D%7B5-3%7D%20%3D%20%5Cdfrac%7B-3%7D%7B2%7D%20%3D%20-%5Cdfrac%7B3%7D%7B2%7D%20)
Since the two slopes are the same, the two lines are parallel.