Answer:
x = - 9, x = 2
Step-by-step explanation:
![{x}^{2} - 11x + 18 = 0 \\ \\ {x}^{2} - 9x - 2x + 18 = 0 \\ \\ x(x +9 ) - 2(x + 9) = 0 \\ \\ (x + 9)(x - 2) = 0 \\ \\ x + 9 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 9 \: \: or \: \: x = 2 \\](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2011x%20%2B%2018%20%3D%200%20%5C%5C%20%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20-%209x%20-%202x%20%2B%2018%20%3D%200%20%5C%5C%20%20%5C%5C%20x%28x%20%2B9%20%29%20-%202%28x%20%2B%209%29%20%3D%200%20%5C%5C%20%20%5C%5C%20%28x%20%2B%209%29%28x%20-%202%29%20%3D%200%20%5C%5C%20%20%5C%5C%20x%20%2B%209%20%3D%200%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20-%202%20%3D%200%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20-%209%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20%3D%202%20%5C%5C%20)
The lines are neither parallel nor perpendicular
<h3>How to determine the relationship between the lines?</h3>
The equations of the lines are given as
3 x minus y equals 5
3 y equals x minus 15
Rewrite the equations properly
3x - y = 5
3y = x - 15
Make y the subject in both equations
In 3x - y = 5, we have
y = 3x + 5
In 3y = x - 15, we have
y = 1/3x - 5
The slopes of the two lines are
m1 = 3
m2 = 1/3
The above values are not equal, and they are not opposite reciprocal
This means that the lines are neither parallel nor perpendicular
Read more about linear equations at:
brainly.com/question/14323743
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She will pay $1.50 for the hairbrush and her mum paid $1.50 as well
Given two points (x₁,y₁) and (x₂,y₂) the rate of change is the slope (m) of the line
passes through these points.
m=(y₂-y₁)/(x₂-x₁)
We have two points:
(2,200)
(6,760)
Rate of change=m=(760-200)/(6-2)=560/4=140 ft/h
Answer: the rate of change would be 140 ft/h.