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VladimirAG [237]

2 years ago

7

5/10 = /6 is 5/10 and 3/6 equivalent fraction. if so, please explain

1 answer:

Sonja [21]2 years ago

8 0

$\frac{5}{10}= \frac{1\cdot5}{2\cdot5} = \frac{1}{2} \ \ \ and\ \ \ \frac{3}{6}= \frac{1\cdot3}{2\cdot3} = \frac{1}{2} \ \ \ \ \Rightarrow\ \ \ \frac{5}{10}=\frac{3}{6}$

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Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:

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Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:

-1 / 2 1 -1

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Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.

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The length of a rectangle is 3 m less than twice the width if the area of the rectangle is 66 5 m² find the dimensions

goblinko [34]

Let the width be x.

Then,Length = ( 2x - 3 ) m

<u>According to the question, </u>

Area of rectangle = 665 m² [ Given ]

Formula: Area of rectangle = Length × Width

$\sf \implies \: length \: \times breadth = 665 \: m {}^{2}$

$\sf\implies \: (2x - 3) \times x = 665$

$\sf \implies \: 2 {x}^{2} - 3x = 665$

$\sf \implies \: {2x}^{2} - 3x - 665 = 0$

<u>By split middle term </u>

$\sf \implies \: 2 {x}^{2} - 38x + 35x - 665 = 0$

$\sf\implies \: 2x(x - 19) + 35(x - 19) = 0$

$\sf \implies \: (2x + 35) = 0 \: or \: (x - 19) = 0$

$\sf \implies \: x = \dfrac{ - 35}{2} \: or \: \: x = 19 \:$

Note: Ignore negative number.

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Length of a rectangle = 2x - 3 = 2 × 19 - 3 = 38 - 3 = 35 m

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