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.
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Here's some guidelines to help you:
For 1, 4, 5, and 6, they are 30-60-90 triangles. What's that you may ask? Well, it means that the sides have a predetermined length when one side is given. In #1 for example, you have a side of 11sqrt3, this means that "n" is 11 because in a 30-60-90 triangle, the longer side is the sqrt3 times the length of the shorter side. So to get the shorter side, we divide by sqrt3 to get 11. "m", or the hypotenuse, can be determined by taking twice the length of the shorter side. Since we figured out earlier that the shorter side is 11, 11 times 2 is 22. So the answer for #1 is n=11, m=22.
For 2 and 3, they are 45-45-90 triangles, triangles where the two lengths are the same and the hypotenuse is either leg length times sqrt2. In problem #2 for example, "y" must be 17 because one leg length is 17. "x", or the hypotenuse, is equal to 17sqrt(2) because 17 times sqrt(2).
You can apply all these rules to the other 4 problems I didn't explain.
Hope this long explanation clears your doubts!
I think you have to solve like each section like (5x3+3)2 first solve that and then solve the middle one and then the last one and I think they all have to be equal to each other , and if they aren’t then her anwser isn’t correct
Answer:
-11
Step-by-step explanation:
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