Question

determine the ratio in which the point (-6, a) divides the join of A (3, 1) and B(-8, 9) also find the value of a.​

Answer 1

Answer: hello here is ur answer

A (3,1)

B(-8,9)

C(-6,a)

using section formulae

m1x2 + m2x1/m1 +m2 ,m1y2 + m2 y1 /m1 +m2

m1 (-8) + m2 (3) /m1 +m2 , m1 (9) + m2 ( 1) /m1 +m2 = (-6,a)

equating the x coordinate

we get

-8m1+3m2 /m1+m2 = -6

-8m1 + 3m2 = -6m1 -6m2

bringing all m1 terms to one side and m2 terms on one side

we get

-8m1 + 6m1 = -6m2 -3m2

- 2m1 = -9m2

m1/ m2 = -9/-2

m1/m2 = 9/2

substituting the values of m1 and m2 in y coordinate

we get

9m1 +1m2 /m1+m2 =  a

9(9) +1(2)/9 +2 = a

81 +2/11 =a

83/11 = a

7.5 = a

hope it helps!!!!!!!!!!

please mark as brainliest if it does

Answer 2

Answer:

m1 : m2 = 9 : 2

a = 83 / 11

Step-by-step explanation:

Please find my attached solution...

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