Question

(X^(3/2)):9 =16:✓x.what is the value of x?​

Answer 1

Answer:

x = 12

Step-by-step explanation:

x^(3/2)÷9 = 16 ÷ x^1/2

x^(3/2)x^(1/2) = 16 × 9

x^2 = 144 (as, x^a . x^b = x^a+b)

x = 12 (as, 12^2 =144)

Answer 2

The value of x is 12

Solution:

Given that,

$x^{\frac{3}{2}} : 9 = 16 : \sqrt{x}$

In proportions,

a : b : : c : d

Then,

$a \times d = b \times c$

Therefore,

$x^{\frac{3}{2}} : 9 = 16 : \sqrt{x}\\\\x^{\frac{3}{2}} \times \sqrt{x} = 9 \times 16\\\\x^{\frac{3}{2}} \times x^{\frac{1}{2}} = 144\\\\x^2 = 144\\\\x = 12$

Thus value of x is 12

Learn more:

X^3/2:9=16:√x value of x?​

https://brainly.in/question/14269862

If x-4=9, what is the value of x^2-4?​

https://brainly.in/question/8641509