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Viefleur [7K]
2 years ago
9

Diego's age `d` is 5 more than 2 times his sister's age `s`. This situation is represented by the equation `d=2s+5`. If we know

Diego's age, which equation will help us find his sister's age?
Mathematics
1 answer:
lutik1710 [3]2 years ago
4 0

Answer:  s=\dfrac{(d-5)}{2}.

Step-by-step explanation:

Given: d denotes Diego's age while s denotes his sister's age.

The situation is represented by the equation d=2s+5.

To find his sister's age we can write the above equation as s=\dfrac{(d-5)}{2} [we first subtract 5 from both sides and then divide both sides by 2]

Hence, the required equation: s=\dfrac{(d-5)}{2}.

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A 5 metre long ladder is placed against a wall. It reaches
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<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>

<em><u>the</u></em><em><u> </u></em><em><u>angle</u></em><em><u> </u></em><em><u>between</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>ladder</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>ground</u></em><em><u>.</u></em>

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<em><u>Based on the given conditions, formulate: </u></em>

<em><u>sin⁡x=4.3÷5</u></em>

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6 0
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Match the following rational expressions to their rewritten forms.
Nookie1986 [14]

Answer:

Answer image is attached.

Step-by-step explanation:

Given rational expressions:

1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}

And the rewritten forms:

(x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}

We have to match the rewritten terms with the given expressions.

Let us consider the rewritten terms and let us solve them one by one by taking LCM.

(x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}

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So, correct option is 1.

(x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}

So, correct option is 2.

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So, correct option is 4.

The answer is also attached in the answer area.

7 0
2 years ago
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mixer [17]
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Since \ any \ denominator \ must \ not \ equal \ zero, 

our \ domain \ is \ restricted \ to \ x<span>≠0</span>
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3 years ago
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