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4 years ago

PLEASE SOMEONE HELP ASAP

Mathematics

2 answers:

Elan Coil [88]4 years ago

5 0

The line is 13 units long

Lubov Fominskaja [6]4 years ago

4 0

Starting at R, moving to S, x increases by 5 and y increases by 12.

Applying the distance formula (which is also the Pyth. Thm.):

distance from R to S or vice versa = sqrt( 5^2 + 12^2) = sqrt( 169) = 13 (answer)

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3 years ago

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Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

$f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}$

Here, $\sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)$

To get $f\left(g(x)\right)$ , replace $x$ in $f(x)$ by $g(x)\ \text{i.e. by}\ \sqrt{x+5}$

$\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)$