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liraira [26]
3 years ago
15

State the sufficient conditions for existence of Laplace​

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0
What is the question
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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
What happens when there is a low camber?
ra1l [238]

I really sorry I have to do this I'm in a test I need help

6 0
3 years ago
A 1414​-ft ladder leans against a wall at a point 55 feet above the ground. how far is the bottom of the ladder from the​ wall?
viva [34]
Assume ladder length is 14 ft and that the top end of the ladder is 5 feet above the ground.

Find the distance the bottom of the ladder is from the base of the wall.

Picture a right triangle with hypotenuse 14 feet and that the side opposite the angle is h.  Then sin theta = h / 14, or theta = arcsin 5/14.  theta is

0.365 radian.  Then the dist. of the bot. of the lad. from the base of the wall is 

14cos theta = 14cos 0.365 rad = 13.08 feet.  This does not seem reasonable; the ladder would fall if it were already that close to the ground.

Ensure that y ou have copied this problem accurately from the original.

7 0
3 years ago
FREE 100 POINTS AFTER YOU ANSWER
Step2247 [10]

Answer:

the answer is 1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Hello! is y = 3x - 3 proportional or non-proportional?? please help!
MissTica

A proportional graph is a straight line that goes through the origin while a non-proportional graph is a straight line that doesn't go through the origin.

y = mx + b

the b represents the y-intercept, so -3 is the y-intercept in the equation y = 3x -3

therefore, the line doesn't go through the origin and is a non-proportional equation

6 0
2 years ago
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