Well, in order to prove the Pythagorean theorem, every triangle you are using has to have one right angle (90-degree angle), and the side opposite to it will be called the hypothenuse. The remaining two triangles will be acute angles (<90 degrees), and the sides opposite to them are called sides/catheti.
deposit of $1644.50 is (gain)
check written and deposit are (loses) subtracted
so total of 3 checks :- 190$ + 45$ + 7.50$ = 242.50$
total of 4 debit cards :- 30$ + 5.59$ + 7.20$ + 21.30$ = 64.09$
total lose amount ( credits + debits ) = 242.50 $ + 64.09$ = 306.59$
Ending balance = Total amount - total loses =
1644.50$ - 306.59 $ = 1337.91$
You applied the rule improperly. When dividing exponents, you subtract the exponent of the denominator <em>from</em> the exponent of the numerator, not the other way around. The exponent you should have gotten was
The denominator of the second fraction can be factored as (a-2)(2a-7), then it becomes doable. You cancel the (2a-7) factors, and are left with:
Do note that you have erased the fact that a≠0 and a≠7/2, so you should always mention that.