Question

Suppose B is the midpoint of AC. AB = 5x and BC = 3x + 4. Find AB. (Hint: Make a sketch and write an equation to solve.)

Answer 1

B is the midpoint, so AB and BC are equal pieces that make up AC

Answer 2

this means

AB = BC

5x = 3x+4

Answer 3

So then i would solve for x?

Answer 4

yes you would

Answer 5

tell me what you get

Answer 6

I get .5.. but i know thats wrong.. so, 5x = 3x + 4.. u combine like terms.. right?

Answer 7

subtract 3x from both sides

Answer 8

5x = 3x + 4

5x-3x = 3x + 4-3x

2x = 4

Answer 9

whats next?

Answer 10

divide 2 do both sides.. x = 2

Answer 11

exactly, now use this to find AB

Answer 12

5(2) = 10 :)

Answer 13

you nailed it

Answer 14

Thanks!! :) Can u help me with another question

Answer 15

sure

Answer 16

Thanks!! :))
Four points A, B, C, and D are coplanar, but only two at a time are collinear. Suppose a line is drawn through each pair of points. How many lines can you draw?

Answer 17

Four points A, B, C, and D are coplanar means that all four points lie in the same plane

Answer 18

but only two at a time are collinear

means that all 4 points do NOT form a straight line

also, it means that there are no 3 points that form a straight line

Answer 19

so we might have something like this