$5.50 because u do 44/8 and that equals 5.5
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Answer:
-28/45
Step-by-step explanation:
<u>Step 1, the sign</u>
When the fractions have an odd number of minus signs (1, not 0 or 2), the result will be negative. This knowledge lets you ignore the sign while you do the rest of the arithmetic. The appropriate sign is applied to the final numbers.
<u>Step 2, the formula</u>
The ratio (a/b)÷(c/d) is (ad)/(bc). There are several ways you can get there:
⇒ "invert and multiply" or "swap dot"

⇒ "numerators of a common denominator"

⇒ "swapped denominators of a common numerator"

The use of common numerators or common denominators is most often seen when the numerator or denominator of one fraction is a multiple of that in the other fraction. <em>Example</em>: (2/3)÷(1/6) = (4/6)÷(1/6) = 4/1 = 4
<u>Step 3, reduce the result</u>
Any of these fractions is reduced by cancelling common factors from numerator and denominator. Your fractions here don't have any common factors, so there is nothing to cancel.
_____
Your product is ...
(4/9) ÷ (-5/7) = -(4·7)/(9·5) = -28/45
Answer:
6 ft and 8 ft
Step-by-step explanation:
let x be the length of one leg then (x + 2) is the other leg.
Using Pythagoras' identity in the right triangle, that is
x² + (x + 2)² = 10² ← expand left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide all terms by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
But x > 0 ⇒ x = 6
Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft
Answer:
(2, -8)
Step-by-step explanation: