3x -4 = x -8 equation
1 answer:
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The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)
<h3>What is a line segment?</h3>A line segment is formed by joining two points by a straight line.
Analysis:
The coordinates of point B(x,y) are gotten by the formula
x =
y =
where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B
are the values of the ratio p:q.
x1 = 4, x2 = 1 y1 = 5, y2 = 2, p = 1, q = 3
x = = 3.25
y = = 2.75
coordinates of B are ( 3.25, 2.75)
In conclusion, the coordinates of point B are (3.25, 2.75)
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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