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Lana71 [14]
3 years ago
11

Segment SW is the diameter of circle C. Point S is located at (6,-1) and point W is located at (10,-7). What are the coordinates

of the center of this circle?
A. (8, -3)
B. (7, -5)
C. (9, -3)
D. (8, -4)
Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
D. (8, -4)

Since SW is the diameter of the circle, the center of the circle should be right in the center of that line. You simply have to find the midpoint of the line

Midpoint formula:

[ (x1+x2)/2 , (y1+y2)/2 ]

After substituting numbers:

[ (6+10)/2 , (-1-7)/2 ]
[ 16/2 , -8/2 ]
=(8, -4)

~~hope this helps~~
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We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be 360+r.

The speed of the plane is the opposite direction of wind would be 360-r.

\text{Distance}=\text{Speed}\times \text{Time}

Distance covered in the direction of wind would be 2.5(360+r).

Distance covered in the opposite direction of wind would be 3.5(360-r).

Since both distances are same, so we will get:

2.5(360+r)=3.5(360-r)

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900-900+2.5r+3.5r=1260-900-3.5r+3.5r

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\frac{6r}{6}=\frac{360}{6}

r=60

Therefore, the wind is blowing at a rate of 60 miles per hour.

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