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eduard
2 years ago
11

Can someone help with these two questions

Mathematics
1 answer:
kherson [118]2 years ago
3 0

11,513 is the answer I really don't know how to write it all out sorry

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The area of a rectangular piece of cardboard is represented by
Liula [17]

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:

ax^{2} + bx + c, a\neq0.

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:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

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

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

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

5 0
2 years ago
How many times can 16 go into 50
ExtremeBDS [4]
Three times. The remainder would be 2.
5 0
3 years ago
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What is 50% off $55.oo?
AnnZ [28]
50% of $55 = $27.50

Hope This Helps You!
Good Luck Studying :)
6 0
3 years ago
What is the inequality of You must be over 12 years old to ride the go-karts.
Valentin [98]

Answer:

x ≥ 12

Hope that helps!

Step-by-step explanation:

6 0
3 years ago
Please answer this multiple choice question, will give brainliest!!
Kamila [148]

Answer:

C. 4.3 cm

Step-by-step explanation:

Since it is a right triangle you can use a²+b²=c² to solve this. Then you subtract 2 from the AC to get AD.

7 0
3 years ago
Read 2 more answers
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