Aright triangle is shown below whose sides are 2x, x2 - 1, and x2 + 1.

(a)
prove the identity (2x)2 + (x2 - 1)2 = (x2 + 1)2
for x > 1.
x2 +1
.12-1

 PROVED

Step-by-step explanation:

The sides of the given right triangle are :

Now here, To show:    .... (1)

Now, by ALGEBRAIC IDENTITY:

So here, similarly

Now, substituting the value on Left side of (1) , we get :

 ...... (a)

Also, the right side of (1) is:

 ... (b)

from(a) and (b) we see that

HENCE PROVED.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72