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!

7 0

3 years ago

The number of cups of flour varies directly as the number of rolls made. Four cups of flour are needed to make 24 rolls. How muc

kiruha [24]

14 cups of flour is needed to make 36 rolls. I think it is

6 0

3 years ago

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What is the simplified form of the following expression?

Amanda [17]

You have sqrt(8), sqrt(18), and sqrt(2).
You need to simplify the radicals.
sqrt(2) is already simplified.
For both sqrt(8) and sqrt(18), you need to factor out the greatest perfect square.

8 = 4 * 2
You can take the square root of 4 and put it outside the root.

18 = 9 * 2
You can take the square root of 9 and put it outside the root.

$5 \sqrt{8} - \sqrt{18} -2 \sqrt{2} =$

$= 5 \sqrt{4 \times 2} - \sqrt{9 \times 2} -2 \sqrt{2}$

$= 5 \times 2\sqrt{2} - 3 \sqrt{2} -2 \sqrt{2}$

$= 10\sqrt{2} - 3 \sqrt{2} -2 \sqrt{2}$

$= 5\sqrt{2}$

8 0

4 years ago

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