purnal/Do Now,Clever | PortalW GradesStudent Inform/courses/1188493/assignments/22989668dx4 Q1S12QS2. Given JL with J(-9, -5) and L(5, 16), if Klies on JL andpartitions it such that the ratio of JK to KL is 2:5, find thecoordinates of K.

Answered: 2. Given JL with J(-9, -5) and L(5,16),…

2. Given JL with J(-9, -5) and L(5,16), if K lies on JL and partitions it such that the ratio of JK to KL is 2:5, find the coordinates of K.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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purnal/Do Now,
Clever | Portal
W Grades
Student Inform
/courses/1188493/assignments/22989668
dx
4 Q1S12QS
2. Given JL with J(-9, -5) and L(5, 16), if Klies on JL and
partitions it such that the ratio of JK to KL is 2:5, find the
coordinates of K.

Expert Solution

Step 1:

Given: J(-9,-5) and L(5,16) are 2 points on JL. K divides JL in ratio of 2:5.

Solution: Take the general formula:

If A(x_1,y₁) and C(x_2,y₂) are divided by B in ratio m:n then co-ordinates of B is given as $(\frac{m x_{2} + n x_{1}}{m + n}, \frac{m y_{2} + n y_{1}}{m + n})$

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