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VARVARA [1.3K]
3 years ago
5

Prove that triangle with side lengths of x^2-1, 2x, x^2+1 is a right triangle.

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.

Let's find a^2 and b^2 by squaring the first 2 side lengths.

(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2

Then add the two to find c^2
x^4+ 2x^2 +1= c^2

Root both sides
x^2+1=c

Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
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Answer:

40

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#5 In *triangle* ABC, AB = 9 and BC = 15. What is the range the possible lengths for CA?<br> Why?
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5 0
2 years ago
(Multiple choice/ Most Brainly will be rewarded)
Stella [2.4K]

Answer:

6

Step-by-step explanation:

you want to create two equations for each situation so if v=number of students that can fit in a van and c=number of students that can fit in a car then you can create the equations 3v+1c=22 and 2v+4c=28

then you want to make both equations equal to c

so for the first one you subtract both sides by 3v and you get c= -3v+22

and for the second one you subtract 2v from both sides and end up with 4c=-2v+28 and then divide both sides by 4 leaving you with c= -1/2v+7

then you make both of those equations equal to each other and solve for v

so -3v+22= -1/2v+7 and you end up with v=6

therefore, each van can hold 6 students

4 0
3 years ago
HELP PLS I NEED THIS RIGHT NOW NOW LUV U GUYS 333
fenix001 [56]

Answer:

<h3>Use formula of acceleration = final velocity - initial velocity / time taken or, v - u / t</h3>

I think this helpful for you.

Thank you ☺️☺️

6 0
3 years ago
Read 2 more answers
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