Simplify the expression 14b-2-17b
1 answer:
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We're told x=-5 and y=11 and asked to evaluate a few expressions. That just means substitute these values into the expressions and compute the exact numerical answer.
Answer: 94
x to the power of 3
Answer: -125
•6y to the power of 2
Probably means
Answer: 726
Answer: 35
•(y-x) to the power of 2
Answer: 256
In solving this problem we can consider Earth to be a sphere. When we have a circle, then we can use this formula to find arc length:
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass
We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass
We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles