Is the square root of 18 closer to 4 or 5

Mathematics

2 answers:

Kazeer [188]3 years ago

8 0

It’s closer to 4 because 18 is closer to 16

natulia [17]3 years ago

4 0

Answer:

it should be closer to 4 because 18 is closer to 16.

Step-by-step explanation:

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Express in Simper Fom : y-x

AveGali [126]

Simplify

$E=\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}$

Conditions for the existance of $E:$

$x\neq 0~~\text{ and}~~y\neq 0~~\text{ and }~~x\neq -y.$

(otherwise, the one of the denominators would be zero.)
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Simplifying:

$E=\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}$

Multiply both the numerator and the denominator by $xy:$

$E=\dfrac{xy\cdot \left(\frac{x}{y}-\frac{y}{x} \right )}{xy\cdot \left(\frac{1}{y}+\frac{1}{x} \right )}\\\\\\ E=\dfrac{\frac{xy\cdot x}{y}-\frac{xy\cdot y}{x}}{\frac{xy}{y}+\frac{xy}{x}}\\\\\\ E=\dfrac{x^{2}-y^{2}}{x+y}\\\\\\ E=\dfrac{(x+y)(x-y)}{x+y}$

Simplify common factors:

$E=x-y\\\\\\ \therefore~~\boxed{\begin{array}{c}\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}=x-y \end{array}}$

6 0

3 years ago

When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:

bearhunter [10]

Answer:

A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.

Step-by-step explanation:

Given

$3x - 3y = 1$