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STatiana [176]
3 years ago
14

If a/4 = 9/a, then a²=36 4a = 9a a + 4 = 9 + a a - 4 = 9 - a

Mathematics
2 answers:
algol133 years ago
8 0
The answer is <span>a²=36

</span>\frac{a}{4} = \frac{9}{a}
<span>Multiply both sides of the equation by 4a:
</span>4a*\frac{a}{4} =4a* \frac{9}{a}  \\ &#10;a*a=4*9 \\ &#10; a^{2} =36<span>
</span>
Anna [14]3 years ago
6 0

Answer:

Option A is correct.

The given expression : \frac{a}{4} = \frac{9}{a} then;

a^2 = 36

Step-by-step explanation:

Given the expression: \frac{a}{4} = \frac{9}{a}

Cross multiplication the given expression following steps are as follow;

  • Multiply  numerator of the left-hand fraction by the denominator of the right-hand fraction
  • Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
  • then, set the two products equal to each other.

Using cross multiplication, on the given expression;

\frac{a}{4} = \frac{9}{a}

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

\frac{a \times a}{4} = 9

Simplify:

\frac{a^2}{4} =9                              [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

a^2 = 9\times 4

Simplify:

a^2 = 36

Therefore, the given expression is equal to: a^2 = 36




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