Question

pls solve this using properties of ratio and proportion
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Answer 1

Answer:

hey here is your solution

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Step-by-step explanation:

$to \: solve : \\ for \: value \: of \: x \\ \\ given \: equation : \\ \\ \frac{ \sqrt{a + x} + \sqrt{a - x} }{ \sqrt{a + x} - \sqrt{a - x} } = \frac{c}{d} \\ \\ applying \: componendo \: dividendo \\ \\ \frac{ \sqrt{a + x} + \sqrt{a - x} + \sqrt{a + x} - \sqrt{a - x} } { \sqrt{a + x} + \sqrt{a - x} - ( \sqrt{a + x} - \sqrt{a - x}) } = \frac{c + d}{c - d} \\ \\ ∴ \: \frac{2. \sqrt{a + x} }{2. \sqrt{a - x} } = \frac{c + d}{c - d} \\ \\ \frac{ \sqrt{a + x} }{ \sqrt{a - x} } = \frac{c + d}{c - d} \\ \\ squaring \: both \: sides \\ we \: get \\ \\ \\ = \frac{a + x}{a - x} = \frac{(c + d) {}^{2} }{(c - d) {}^{2} } \\ \\ = \frac{c {}^{2} + d {}^{2} + 2cd}{c {}^{2} + d {}^{2} - 2cd} \\ \\ again \: applying \\ componendo \: dividendo \\ \\ \frac{a + x + a - x}{a + x - (a - x)} = \frac{c {}^{2} + d {}^{2} + 2cd + c {}^{2} + d {}^{2} - 2cd}{c {}^{2} + d {}^{2} + 2cd - (c {}^{2} + d {}^{2} - 2cd) } \\ \\ ∴ \: \frac{2a}{2x} = \frac{2c {}^{2} + 2d {}^{2} }{2cd + 2cd} \\ \\ ∴ \: \frac{a}{x} = \frac{2(c {}^{2} + d {}^{2} ) }{4cd} \\ \\ = \frac{a}{x} = \frac{c {}^{2} + d {}^{2} }{2cd} \\ \\ \\ ∴(c {}^{2} + d {}^{2} )x = 2acd \\ \\ x = \frac{2acd}{c {}^{2} + d {}^{2} }$

Answer 2

Answer:

what is genotype ?

answer

The genotype of an organism is its complete set of genetic material. However, the term is often used to refer to a single gene or set of genes, such as the genotype for eye color. The genes partly determine the observable characteristics of an organism, such as hair color, height, etc

Step-by-step explanation:

What is VIBGYOR?

answer

VIBGYOR (Violet–Indigo–Blue–Green–Yellow–Orange–Red) is a popular mnemonic device used for memorizing the traditional optical spectrum.

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