Maths-

General

Easy

Question

Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.

hint Hint:

Write the reason.

The correct answer is: P=4√A

Complete step by step solution:
We know that,
perimeter of a square with side s = p = 4s…(i)
Area of a square with side s = A = s²…(ii)
Here s = $p over 4$ from (i)
On substituting this in (ii), we get $A equals open parentheses P over 4 close parentheses squared$
$not stretchy rightwards double arrow A equals p squared over 16$
$table attributes columnalign right columnspacing 0em end attributes row blank row cell not stretchy rightwards double arrow p squared equals 16 A end cell end table$
On taking square root, we get $P equals 4 square root of A$

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Can’t find what you’re looking for?

Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.

Write the reason.

The correct answer is: P=4√A

Complete step by step solution:We know that,perimeter of a square with side s = p = 4s…(i)Area of a square with side s = A = s2…(ii)Here s = from (i)On substituting this in (ii), we get On taking square root, we get

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Explain how to identify an extraneous solution for an equation containing a radical expression

Explain how to identify an extraneous solution for an equation containing a radical expression

Solve the equation

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Simplify each expressions and state the domain :

Simplify each expressions and state the domain :

Express the rational expression in its lowest terms .

Express the rational expression in its lowest terms .

When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line:

Identify the slope and y-intercept of the line:

Rewrite the equation to isolate x.

Rewrite the equation to isolate x.

Find the product of the rational expression

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Explain how you can tell whether a rational expression is in simplest form?

Explain how you can tell whether a rational expression is in simplest form?

Determine whether is sometimes , always or never true . Justify your reasoning.

Determine whether is sometimes , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line:

Identify the slope and y-intercept of the line:

Find the extraneous solution of

Find the extraneous solution of

Explain the similarities between rational numbers and rational expressions ?

Explain the similarities between rational numbers and rational expressions ?

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Solve the equation $square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2$

Solve the equation $square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2$

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Solve the equation $square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1$

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Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$

Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$

Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$

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Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

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Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

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$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

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Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$