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3 years ago

Which radical expression is in simplified form A. 11y/sqrt3 B. sqrt6/5y C. sqrt17/sqrt4 D. sqrt25/18

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

Answer: $\frac{\sqrt{6}}{5y}$

Step-by-step explanation:

The given radical expressions are:

$A. \frac{11y}{\sqrt{3}}\\\text{It is not completely simplified ,}\\\text{since denominator is radical, we need to rationalize it first to simplify. }\\\\B.\frac{\sqrt{6}}{5y}\\\text{It is completely simplified ,}\\\text{since its denominator is not radical and 6 is not a perfect square. }\\\\C. \frac{\sqrt{17}}{\sqrt{4}}\\\text{It is not completely simplified ,}\\\text{since denominator is radical, we need to rationalize it first to simplify. }\\\\$ $\\\\D. \frac{\sqrt{25}}{18}=\frac{5}{18}\\\text{Hence, expression D was not completely simplified .}$

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3 years ago

Add and subtract the rational expressions. 7x+5/x-1 -(8x1/x-1+2x-4/x-1) Which statements are true about the process for adding a

anzhelika [568]

Answer:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

Step-by-step explanation:

Given the rational expression

$\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )$

Let us first simplify before making our deductions.

Opening the brackets

$\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )=\dfrac{7x+5}{x-1} -\dfrac{8x-1}{x-1} -\dfrac{2x-4}{x-1}$

Taking LCM

$=\dfrac{7x+5-(8x-1)-(2x-4)}{x-1}$

Opening the brackets and simplifying

$=\dfrac{7x+5-8x+1-2x+4}{x-1}\\\text{Collecting like terms in the numerator}\\=\dfrac{7x-8x-2x+5+1+4}{x-1}\\=\dfrac{-3x+10}{x-1}$

The following statements are therefore true:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

5 0

3 years ago

Explain how the position of the decimal point changes in a quotient as you divide by increasing powers of 10.

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3 years ago

Which two properties of equality could Zoe use to finish solving for x

7nadin3 [17]

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4 0

3 years ago

HELP PICTURE IS SJOWN

jek_recluse [69]

Letter B is the answer

Number of sides (n) = 8
Apothem (a) = 18.11 units
Side (s) = 15 units

Area of Octagon = (1/2)n*a*s
A of O= (1/2)*8*18.11*15
A of O= 1086.6 units^2

Area of Square = s^2
A of S = 15^2
A of S = 225 units^2

Area of Shaded Region = A of O - A of S
A of S.R. = 1086.6 units^2 - 225 units^2
A of S.R. = 861.6 units^2
A of S.R. = 862 units^2

LETTER B

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3 years ago