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GaryK
10 days ago
14

(Please Hurry!) Which expression is equivalent to the following complex fraction?

Mathematics
1 answer:
lawyer [4K]10 days ago
6 0

Answer:

The equivalent expression for the provided complex fraction is

\frac{-2x+5y}{3x-2y}

Step-by-step explanation:

To simplify the complex fraction, calculating the numerator and denominator individually is effective.

Numerator:

\frac{-2}{x} + \frac{5}{y}\\ = \frac{-2y + 5x}{xy}

Denominator:

\frac{3}{y} + \frac{-2}{x}\\ = \frac{3x - 2y}{xy}

Resolving the complex fraction:

[\frac{-2}{x} + \frac{5}{y}] / [\frac{3}{y} + \frac{-2}{x}]\\= [\frac{-2y + 5x}{xy}] / [\frac{3x - 2y}{xy}]

=\frac{-2y + 5x}{xy} * \frac{xy}{3x - 2y}

Common terms in the numerator and denominator will cancel out (Cross multiplication):

= \frac{-2y + 5x}{3x - 2y}

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Find the distance across the lake. Assume the triangles are similar.
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Response:

B. 255 m

Detailed breakdown:

utilize similar triangles

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5 0
13 days ago
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1),
lawyer [4039]

Answer:

(1, 3)

Step-by-step explanation:

Provided:

A circle containing these specified points-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function resembles a mechanism that produces an output for each unique input. Each input must yield a distinct output.

The function's input is characterized as the domain, and the output corresponds to its range.

The domain is indicated by the 'x' coordinate while the range is represented by the 'y' coordinate.

This means the domain serves as the independent variable, and the range is contingent upon the domain’s values.

In this case, a relation or set of points constitutes a function only if every 'x' in the ordered pairs is unique.

Within the described relation, the pairs (1, 1) and (1, 3) share the same input. Thus, removing either one will convert the relation into a function.

Therefore, choosing (1, 3) is the right answer.

5 0
16 days ago
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tester [3938]
14 \sqrt[4]{a^{5} b^{2 }c^{4}} -7ac \sqrt[4]{a b^{2}}
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3 0
20 hours ago
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16 days ago
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17 days ago
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