Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3
Answer: Slope = 2/5
Concept:
Here, we need to know how to find the slope.
Slope = (y₂ - y₁) / (x₂ - x₁)
If you are still confused, please refer to the attachment below for a clearer version of the formula
Solve:
<u>Given information</u>
(x₁, y₁) = (-6, 2)
(x₂, y₂) = (4, 6)
<u>Given formula</u>
Slope = (y₂ - y₁) / (x₂ - x₁)
<u>Substitute values into the formula</u>
Slope = (6 - 2) / (4 - (-6))
<u>Simplify values in the parentheses</u>
<u>REMEMBER to change [+, -] signs when there is a [-] sign in front</u>
Slope = 4 / (4 + 6)
Slope = 4 / 10
<u>Divide both numerator and denominator by 2 to get the simplest form</u>
Slope = (4 ÷ 2) / (10 ÷ 2)
Slope = 2/5
Hope this helps!! :)
Please let me know if you have any questions
You should do 24.30/9 which equals $2.70
Answer: I am guessing 9/8 miles
Step-by-step explanation:
The x-intercept is -45.
Substitute 0 for y to find x-intercept
Substitute 0 for x to find y-intercept
