A rectangular football field measures 50 meters by 25 meters. The football team has to run around the field 4 times during warm
ups.
How many meters does the team run during warm ups?
Choose 1 answer:
A: 75 meters
B: 150 meters
C: 300 meters
D: 600 meters
How many meters does the team run during warm ups?
Choose 1 answer:
A: 75 meters
B: 150 meters
C: 300 meters
D: 600 meters
1 answer:
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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
In order find the Inequalities, First we need to Find the Equations of Both the Lines.
<u>Equation of First line :</u>
It is passing through the Points (0 , 2) and (4 , 0)
⇒ Slope =
⇒ Equation of the First Line :
⇒ Equation of the First Line : x + 2y = 4
<u>Equation of Second Line :</u>
It is passing through the Points (1.5 , 0) and (0 , -3)
⇒ Slope =
⇒ Equation of the Second Line : y + 3 = 2x
⇒ Equation of the Second Line : 2x - y = 3
As the Shaded Area of the First Line is away from the Origin :
⇒ x + 2y ≥ 4
As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :
⇒ 2x - y < 3
So, the System of Linear Inequalities are :
⇒ x + 2y ≥ 4
⇒ 2x - y < 3