Given point a(6, 12), point b(15, –4), and point c(20, 12), find the coordinates of the point that partitions the directed line segment into the given ratio. (a)directed line segment ab ratio 1 : 1 (b)directed line segment ac ratio 5 : 2 (c)directed line segment cb ratio 2 : 3

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

linear pair postulates

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step-by-step explanation:

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