<img src="https://tex.z-dn.net/?f=5%20%5Cdiv%202%20%5Csqrt%7B2%7D%20" id="TexFormula1" title="5 \div 2 \sqrt{2} " alt="5 \div 2

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valentina_108 [34]

2 years ago

\sqrt{2} " align="absmiddle" class="latex-formula">
no decimals allowed

Mathematics

2 answers:

Rufina [12.5K]2 years ago

7 0

$\dfrac{5}{2 \sqrt{2} }$

it's the only ans then possible ! ^•,,,•^

belka [17]2 years ago

4 0

Answer:

$\frac{5}{2 \sqrt{2} } \\ = \frac{5}{ 2 \sqrt{2} } \times \frac{2 \sqrt{2} }{2 \sqrt{2} } \\ = \frac{5(2 \sqrt{2}) }{(2 \sqrt{2} )(2 \sqrt{2}) } \\ = \frac{10 \sqrt{2} }{(2 \sqrt{2} {)}^{2} } \\ = \frac{10 \sqrt{2} }{4 \sqrt{( {2)}^{2} } } \\ = \frac{10 \sqrt{2} }{4 \sqrt{2 \times 2} } \\ = \frac{10 \sqrt{2} }{4(2)} \\ = \frac{ \cancel{10} \sqrt{2} }{ \cancel8} \\ = \frac{5 \sqrt{2} }{4} answer.$

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What is factorisation

liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

Solution:

Factorisation:

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Methods of factorisation:

Factoring out the GCF

The sum-product pattern

The grouping method

The perfect square trinomial pattern

The difference of squares pattern

Factoring out the GCF:

This methods means that factoring out common factors

For example:

$12x^2 + 3x = 3x(4x + 1)$

This can be used when each term in given expression shares a common factor

The sum-product pattern

A quadratic equation may be expressed as a product of two binomials

For example:

$x^2 + 7x + 12 = (x + 3)(x + 4)$

This method can be used for quadratic equations of form $ax^2 + bx + c = 0$

The grouping method

If the polynomial is of the form $ax^2 + bx + c$ and there are factors of ac that add up to b , we can use this method

For example:

$2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)$

The perfect square trinomial pattern

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

$x^2 + 10x + 25\\\\(x + 5)^2$

The difference of squares pattern

If the expression represents a difference of squares, we can use this method

Because $a^2 - b^2 = (a + b)(a - b)$

For example:

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6 0

3 years ago

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1. You would set them up:46+7

2. Next you would do 6+7 which equals 13

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4. And last you get the answer:53

Hope this helped you!

5 0

3 years ago

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tatiyna

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?

Answer:

the length of the sign is $4x-5$ inches

Step-by-step explanation:

Given

Area of the square of design = $16x^{2} -40x+25$

First we find the roots of equation $16x^{2} -40x+25=0$

The roots of the quadratic equation $ax^{2} +bx^{2} +c=0$ are given by

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where $a=16, b=-40, c=25$

$x=\frac{40\pm\sqrt{(-40)^2-4\times 16\times 25}}{2\times 16}$

$x=\frac{40\pm\sqrt{1600-1600}}{32}$

$x=\frac{40\pm\sqrt{0}}{32}$

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That is, the factors of the polynomial $16x^{2} -40x+25$ are $4x-5$ and $4x-5$ .

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The right answer is the last choice.

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3 years ago

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Inessa [10]

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3 years ago