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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.)
 one year ago
 one year ago
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.)
 one year ago
 one year ago

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jim_thompson5910Best ResponseYou've already chosen the best response.1
B is the midpoint, so AB and BC are equal pieces that make up AC
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
this means AB = BC 5x = 3x+4
 one year ago

LilVeroDez13Best ResponseYou've already chosen the best response.1
So then i would solve for x?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes you would
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
tell me what you get
 one year ago

LilVeroDez13Best ResponseYou've already chosen the best response.1
I get .5.. but i know thats wrong.. so, 5x = 3x + 4.. u combine like terms.. right?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
subtract 3x from both sides
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
5x = 3x + 4 5x3x = 3x + 43x 2x = 4
 one year ago

LilVeroDez13Best ResponseYou've already chosen the best response.1
divide 2 do both sides.. x = 2
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
exactly, now use this to find AB
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you nailed it
 one year ago

LilVeroDez13Best ResponseYou've already chosen the best response.1
Thanks!! :) Can u help me with another question
 one year ago

LilVeroDez13Best ResponseYou've already chosen the best response.1
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?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
Four points A, B, C, and D are coplanar means that all four points lie in the same plane
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
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
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so we might have something like this dw:1348964739339:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
Here are two pairs of lines dw:1348964798916:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
oops just meant to say "here are a pair of lines"
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
Here's another pair dw:1348964855161:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and another pair dw:1348964897439:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and that's all we can draw because there are no other possible pairs of lines to draw
 one year ago

LilVeroDez13Best ResponseYou've already chosen the best response.1
:) So, there are 4 possible ways?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
double that to get 8
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
4 pairs of lines = 8 lines
 one year ago

LilVeroDez13Best ResponseYou've already chosen the best response.1
Ahh.. i see now. Thanks so much!! ur really smart :) geometry kicks my butt. You make it easy to understand :)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
oh wait, i'm counting 3 pairs (not sure where I got 4 pairs) so 3 pairs = 6 lines
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
I'm glad I do
 one year ago
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