Answer: (4.4, 3)
This point is marked as point Q in the diagram below.
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Step-by-step explanation:
Check out the diagram below.
I've added point P to the figure which is located at (11, 1)
This forms triangle DPS.
The horizontal side of the triangle is 11 units long as it spans from x = 0 to x = 11.
We need to split the horizontal side into the ratio 2:3. In other words, we need to split it into 2 equal parts and 3 equal parts as shown in the diagram. There are 2+3 = 5 parts total.
Each part is 11/5 = 2.2 units wide.
Two such parts will have a width of 2*2.2 = 4.4
Notice how 4.4 is the x coordinate of point Q.
This is the result of adding 4.4 to the x coordinate of D.
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The vertical distance from P to S is 5 units. Split this into five equal parts and each part is 5/5 = 1 unit tall.
Two parts will be 2*1 = 2 units tall.
We'll add 2 on the y coordinate of D to get 2+1 = 3.
The y coordinate of point Q is 3.
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Point Q is located at (4.4, 3) which splits the segment DS into the ratio 2:3
In other words, the ratio of segments DQ to QS is 2:3
We could write that like DQ:QS = 2:3
Or we could say DQ/QS = 2/3.