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Let

be an integer. Suppose there is a triangle with legs of length 16 and

. Then by the Pythagorean theorem, the length of the hypotenuse should be

The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if

and

are integers, then so are

,

, and

.
However,

is not a perfect square trinomial, which means for any integer

, the length of the hypotenuse is not an integer, so such a triangle doesn't exist.
Answer:
x = 9.5
Step-by-step explanation:
Given
=
( cross- multiply )
3(4x - 6) = 4(2x + 5) ← distribute parenthesis on both sides
12x - 18 = 8x + 20 ( subtract 8x from both sides )
4x - 18 = 20 ( add 18 to both sides )
4x = 38 ( divide both sides by 4 )
x =
= 9.5
−4−5+4+(−5)minus, 4, minus, 5, plus, 4, plus, left parenthesis, minus, 5, right parenthesis.
Tema [17]
Answer: -10
Step-by-step explanation: For this problem we will solve the numbers in order.
-4 - 5 + 4 + (-5)
First subtract -4 - 5, which will give you -9. Then add -9 to 4, which will give you -5. Lastly add -5 plus -5, which will give you an answer of -10.
Answer:
81.68
Step-by-step explanation: