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Yakvenalex [24]
3 years ago
14

The length of a rectangle is 10 m less than three times the width, and the area of the rectangle is 77 m2 . find the dimensions

of the rectangle
Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
Let the width be x, the length is then 3x-10
Area of a rectangle is length times width: x(3x-10)=77 => 3x^2-10x-77=0
Factor this quadratic equation: (x-7)(3x+11)=0 =.x=7 or x=-11/3
width cannot be negative, so the only answer is x=7
width is 7m, length is 11m
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Solve<br> 4x + 1 = 2x -5
Jobisdone [24]

∑ Hey, ramosblan81 ⊃

Answer:

x = -3

Step-by-step explanation:

<u><em>⇒ Given:</em></u>

<em>4x + 1 = 2x -5</em>

<em />

<u><em>║ Solve ║:</em></u>

<em>4x + 1 = 2x -5</em>

<em>Subtracting 1 from both sides:</em>

<em>4x + 1 = 2x -5</em>

<em>4x + 1 - 1 = 2x -5 -1</em>

<em>4x = 2x - 6</em>

<em>Now subtracting 2x from both sides:</em>

<em>4x - 2x = 2x - 6 - 2x</em>

<em>2x = -6</em>

<em>Then divide both sides by 2</em>

<em>2x/2 = -6/2</em>

<em>x = -3</em>

<em />

<em>Thus, the answer is x = -3.</em>

<em />

<u><em>xcookiex12</em></u>

<u><em></em></u>

<em>8/18/2022</em>

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