Ask
your own question, for FREE!

Mathematics
64 Online

Lars:

Points P and Q are two of the vertices of a right triangle. They are the endpoints of the hypotenuse PQ¯¯¯¯¯ of the triangle. The third vertex lies in the second quadrant. Plot a point at the location of the third vertex.

Still Need Help?

Join the QuestionCove community and study together with friends!

Lars:

Is my answer -2, -2? If so where on this coordinate plane am I supposed to plot it? I'm confused

Lars:

Did I correctly plot it?

K1NGofPadlet:
No, the answer is not -2, -2.
To find the solution, you require to first find the x-intercept and y-intercept of the two lines.
For line p, the x-intercept is -2 and the y-intercept is 3. So the equation of line p is y = (-3/2)x + 3.
For line q, the x-intercept is 3 and the y-intercept is -2. So the equation of line q is y = (2/3)x - 2.
To find the point of intersection, you require to solve for x and y in the system of equations:
y = (-3/2)x + 3
y = (2/3)x - 2
Setting the two equations identically tantamount to each other and solving for x, we get:
(-3/2)x + 3 = (2/3)x - 2
(-3/2)x - (2/3)x = -2 - 3
(-9/6)x - (4/6)x = -5
(-13/6)x = -5
x = 30/13
Then, plugging in x = 30/13 into either of the equations and solving for y, we get:
y = (-3/2)(30/13) + 3 = -9/13
So the point of intersection is (30/13, -9/13). Plot this point on the coordinate plane to show the solution.

@lars wrote:

Is my answer -2, -2? If so where on this coordinate plane am I supposed to plot it? I'm confused

Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!

Join our real-time social learning platform and learn together with your friends!

Latest Questions

sh2ah00d6:
3. For basketball fans, a flexible light source that can be attached around any basketball hoop rim has been developed.

1 hour ago
0 Replies
0 Medals

Alreem7:
Which of the following does no affect the frictional form? a.weight of the object b.

2 hours ago
2 Replies
1 Medal

Alreem7:
A car is moving on horizontal road with a constant velocity.What is the net force acting on the object? a.

3 hours ago
2 Replies
3 Medals

alphaXtiger:
how is my story so far STALKER I am walking with my friend at night and I swear i see someone following me u201cBelladonna!u201dmy friend yells at me which

6 minutes ago
7 Replies
2 Medals

LILBOY:
https://www.bandlab.com/post/4104d17c-3261-ee11-9937-000d3a41ec2a let me know wha

57 minutes ago
2 Replies
1 Medal