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The answer is 31/6 which is also 5 1/6
The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Given that the end points of line segment are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.
Line segment is a collection of points which when together joined joins two points on a surface.
The coordinates of point dividing a line segment with end points and ratio m:ncan be calculated using the below given formula:
(X,Y)=.
We have to just put the values in the above formula to get the coordinates.
(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)
=(50+1/6,15-2/6)
=(51/6,13/6)
=(17/2,13/6)
Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Learn more about line segment at brainly.com/question/2437195
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Let the first integer be x
adding one to x (to represent the next integer) you get x + 1
adding two to x to get the next integer you get x + 2
the expression that represents three consecutive integers is x + (x + 1) + (x + 2)
Now we need to set this equal to 75 and solve.
x + (x + 1) + (x + 2) = 75
3x + 3 = 75
subtract 3 from both sides
3x + 3 - 3 = 75 - 3
3x = 72
to clear the multiplication by 3, divide both sides by 3
3x/3 = 72/3
x = 24
x + 1 = 25
x + 2 = 26
24, 25, 26 are the three integers