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nordsb [41]
3 years ago
12

find the equation of the line passing through the points (2,4) and (3,2). find both green and grey box

Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

  y = -2x +8

Step-by-step explanation:

The 2-point form of the equation of a line is useful when two points are given.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (2 -4)/(3 -2)(x -2) +4

  y = -2(x -2) +4

  y = -2x +8

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This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

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Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

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This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

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x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

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In this question:

w(2w+3) = 9

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Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

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Step-by-step explanation:

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Step-by-step explanation:

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