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Fittoniya [83]
3 years ago
15

Which is greater, -11 or -9 ?

Mathematics
2 answers:
Vitek1552 [10]3 years ago
7 0

Answer:

-9

Step-by-step explanation:for sure

ElenaW [278]3 years ago
7 0

Answer:

-9

Step-by-step explanation:

Look at a number line:

<----+------+------+------+------+------+------+------+------+------+------+------+------+------+-->

   -12     -11      -10     -9     -8     -7     -6      -5      -4      -3     -2     -1       0       1

On a number line, a number to the right is always greater than a number to its left. Just like 1 is greater than 0, -9 is greater than -11.

-9 > -11

Answer: -9

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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:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

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

2w^2 + 3w - 9 = 0

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

Then

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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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