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2 years ago

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Mathematics

1 answer:

Sonja [21]2 years ago

4 0

The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).

<h3>How to simplify the addition between two rational equations</h3>

In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:

(n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given
(n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse
[3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator
(3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / Result

To learn more on rational equations: brainly.com/question/20850120

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<h3> favourable outcome / number of outcome</h3>

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3 years ago

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The equation of a parabola is shown.

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3 years ago

Which additional information could be used to prove that the triangles are congruent using AAS or ASA? Check all that apply.

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Consider the given triangles.

Given: $\angle C \cong \angle Q$

ASA congruence criterion states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

AAS congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider the first part:

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2. If we take $\angle A \cong \angle T$ and $AC= TQ=3.2$ along with the given condition.

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Elena-2011 [213]

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