Respuesta :
The denominators are equal, so just add the numerators.
5 + 9 = 14
5/q + 9/q = 14/q
5 + 9 = 14
5/q + 9/q = 14/q
Answer: The correct answer is: " 14 " .
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Step-by-step explanation:
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Note:
[tex](\frac{a}{c})[/tex] + [tex](\frac{b}{c})[/tex]
= [tex]\frac{(a+b)}{c}[/tex] ;
only if: [tex](c\neq0)[/tex] ;
→ {since one cannot "divide by 0" .}.
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We are given:
[tex](\frac{5}{q})[/tex] + [tex](\frac{9}{q})[/tex]
= [tex](\frac{?}{q})[/tex] ; Solve for: " ? " ;
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Since the "denominators" are the same ; we can solve using the aforementioned "formula";
→ given that: " [tex](q\neq0)[/tex] " ;
→ {since one cannot "divide by 0" .}.
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→ So; given:
[tex](\frac{5}{q})[/tex] + [tex](\frac{9}{q})[/tex]
= [tex](\frac{?}{q})[/tex] ;
→ We can simplify the "left-hand side" of the equation accordingly:
→ " [tex](\frac{5}{q})[/tex] + [tex](\frac{9}{q})[/tex] "
= [tex](\frac{(5+9)}{q})[/tex]
= [tex](\frac{14}{q})[/tex] ;
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→ " [tex](\frac{14}{q})[/tex] = [tex](\frac{?}{q})[/tex] " ;
→ Solve for " ? " ;
→ " ? " = 14 .
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The answer is: " 14 " .
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Hope this answer — and explanation — is of help to you!
Best wishes in your academic endeavors —
and within the "Brainly" community!
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