The coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.
<h3>How to explain the information?</h3>
We have a line segment: XY with end coordinates X(1, -2) and Y(10, 3)
The coordinate for the point M:
x = (1+50)/6 = 51/6
y = (-2+15)/6 = 13/6
Thus, the coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.
Learn more about the segment here:
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Variables are taken from the first letter of the color, ex: green = g.
Given:
r = g
2r = b = y
Total =42
So then:
r+ r + 2r + 2r = 42
6r = 42
r = 7
y = 2r
y = 2(7)
14 of the 42 pencils were yellow.
POINT A I had the same question in my math class !!!
Answer:
(5, 7 )
Step-by-step explanation:
Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
here (x₁, y₁ ) = U(8, 9) and (x₂, y₂ ) = V(2, 5), thus
midpoint = [0.5(8 + 2), 0.5(9 + 5) ] = [0.5(10), 0.5(14) ] = (5, 7 )
