217k views
1 vote
J is located at (2,7) , q is located at (5,12) and m is located at ((x,y)

User WiseGuyEh
by
8.4k points

2 Answers

3 votes

Answer:

don't know how to do sorry for that but i can tell me how to.do

Explanation:

byeeeeeeèeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

User Shehary
by
8.8k points
4 votes

Since points J, Q, and M are collinear of JM, and JQ, the values of x and y as an ordered pair is (9.5, 19.5).

In this scenario, line ratio would be used to determine the coordinates of the point M on the directed line segment JM and JQ that partitions the segment into a ratio of 2 to 3.

In Mathematics and EuclideanGeometry, line ratio can be used to determine the coordinates of a point and this is modeled by this mathematical equation:


M(x, y) = (((mx_2 + nx_1))/((m + n)), (((my_2 + ny_1))/((m + n)))

By substituting the given points J (2, 7) and Q (5, 12) into the formula for line ratio, we have;


M (x, y) = (((mx_2 + nx_1))/((m + n)), (((my_2 + ny_1))/((m + n)))\\\\ (5, 12) = ((( 2(x) + 3(2))/((2 + 3)), (((3(7) + 2(y)))/((2 + 3)))

By solving the equation in part for the value of x and y, we have;


5 =(( 2x + 6))/(5)\\\\25=2x+6\\\\

2x = 25 - 6

x = 19/2

x = 9.5


12 = ((21 + 2y))/((5))\\\\60 = 21 + 2y

2y = 60 - 21

y = 39/2

y = 19.5

In conclusion, we can logically deduce that point M is located at (9.5, 19.5).

Complete Question:

Points J,Q, and M are collinear of JM, and JQ: QM=2/3.

J is located at (2,7), Q is located at (5,12), and M is located at (x, y).

What are the values of x and y?

User Orellabac
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories