Question

what is the area of the triangle bounded by the lines: x=1, y=x-1, y=3-x

Answer 1

Some thing doesn't seem right. Check and write question word for word. Why is there two y's?

Answer 2

All the info is correctly listed. I'm still stumped on it.

Answer 3

What is the area of the triangle bounded by the lines x = 1, y = x − 1, and y = 3 − x ?

Answer 4

OK, I get it. These are graphs of lines, not actual measurements.

Answer 5

Yes - they form a triangle when graphed. I need to find the area of that triangle.

Answer 6

You can graph it and get their measurements. Or you can use algebra, for example
\[x-1=3-x\]Solve for x. That is one point of intersection. Depends on if you are a visual person, draw graph, if you are a logical thinker and algebra lover, do it by algebra.

Answer 7

so would the answer be 2? do I stop there?

Answer 8

why just those 2 only?

Answer 9

the 3rd one really bumped me off the train lol

Answer 10

No that is just one point of the triangle, x=2, punch that in the other triangle y=1. One corner of the triangle is at the point (2,1)

Answer 11

Alright, I worked it out and got (4) for the area of the triangle bounded by the lines

Answer 12

were you able to work up a quick answer to compare?

Answer 13

I haven't done it but if you tell me what you did, I can check.

Answer 14

I found the other 2 corners of the triangle and added/subtracted them together and got (4).

Answer 15

I don't know exactly what you did. You would have to give more detail. But to go that route you would have to know the (x,y) point of each intersection, use distance formula to compute distance then, area formula half base times height.

Answer 16

I think I mixed up what I"m supposed to do

Answer 17

I found all the points - where do I go from there exactly? I appreciate the help.

Answer 18

This is a simple enough graph that you could plot by hand to get the distances.

Answer 19

I just graphed it - just by looking at it, I see the area being a 1x1 box

Answer 20

well 2 triangles

Answer 21

so the area is = 1

Answer 22

That is your first clue that you did something wrong. A triangle is a triangle, a box is a box. Take each y line, write down some values x=0, y= etc, and the line that says x=1 is just a straight line joining the two others.

Answer 23

I did that - I cut the triangle in half and made a box and just counted the units

Answer 24

My points for the triangle are: (1,1) - (2,1) - (1,2)

Answer 25

don't mind the "-", I Just used those to space them out

Answer 26

May be you are right, I am just not familiar with your method. Area of a triangle can be found by half base times height http://mathcentral.uregina.ca/QQ/database/QQ.09.02/dean1.html

Answer 27

(1/2)(2) x (1) = 1

Answer 28

Can we conclude that 1 is the answer?

Answer 29

So what course are you working so I can understand what level of math you are or else I might say thing you might not understand.

Answer 30

Calc

Answer 31

Don't get hang up on any one question, write the number down and go in to your teacher's office hours. You have a good work ethic. Keep it up. But you have to put in a lot of work because you are not asking calculus questions. Don't get discouraged. 'Keep working,' that's what my tutor says at the end of each session.