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aalyn [17]
4 years ago
10

Find the equation of (2,-1)

Mathematics
1 answer:
Elis [28]4 years ago
7 0
You seem to have forgotten to add in the y-intercept or slope. For the information you have given, it could be any equation, so long as it passes through the point (2, -1), such as
y = -x + 1
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Find the value of X.
Andreas93 [3]

Answer:

x=4

Step-by-step explanation:

We know that in a parallelogram opposite sides are equal

Hence on equating we get,

6x - 20 = 4

6x = 4 + 20

6x = 24

x = 4

8 0
2 years ago
What are the roots of 27x^3=8
lawyer [7]

\bf 27x^3=8\implies x^3=\cfrac{8}{27}\implies x = \sqrt[3]{\cfrac{8}{27}}\implies x = \sqrt[3]{\cfrac{2^3}{3^3}} \\\\\\ x = \cfrac{\sqrt[3]{2^3}}{\sqrt[3]{3^3}}\implies x=\cfrac{2}{3}

8 0
3 years ago
Resolve the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%7D%7B%28x%5E%7B2%7D%20%2B1%29%28x-1%29%5E%7B2%7D%20
Llana [10]

The partial fraction expansion will look like

(<em>x</em> - 2)/((<em>x</em> ² + 1) (<em>x</em> - 1)²) = (<em>ax</em> + <em>b</em>)/(<em>x</em> ² + 1) + <em>c</em>/(<em>x</em> - 1) + <em>d</em>/(<em>x</em> - 1)²

Get everything in terms of a common denominator, and compare the numerators on both sides:

<em>x</em> - 2 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 1)² + <em>c</em> (<em>x</em> ² + 1) (<em>x</em> - 1) + <em>d</em> (<em>x</em> ² + 1)

Expand the right side:

<em>x</em> - 2 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 1)² + <em>c</em> (<em>x</em> ² + 1) (<em>x</em> - 1) + <em>d</em> (<em>x</em> ² + 1)

<em>x</em> - 2 = (<em>a</em> + <em>c</em>) <em>x</em> ³ + (-2<em>a</em> + <em>b</em> - <em>c</em> + <em>d</em>) <em>x</em> ² + (<em>a</em> - 2<em>b</em> + <em>c</em>) <em>x</em> + <em>b</em> - <em>c</em> + <em>d</em>

<em />

Match up the coefficients and solve the resulting system of equations:

<em>a</em> + <em>c</em> = 0

-2<em>a</em> + <em>b</em> - <em>c</em> + <em>d</em> = 0

<em>a</em> - 2<em>b</em> + <em>c</em> = 1

<em>b</em> - <em>c</em> + <em>d</em> = -2

==>   <em>a</em> = -1, <em>b</em> = -1/2, <em>c</em> = 1, <em>d</em> = -1/2

So the expansion into partial fractions is

(<em>x</em> - 2)/((<em>x</em> ² + 1) (<em>x</em> - 1)²) = (-<em>x</em> - 1/2)/(<em>x</em> ² + 1) + 1/(<em>x</em> - 1) - 1/(2 (<em>x</em> - 1)²)

… = -(2<em>x</em> + 1)/(2 (<em>x</em> ² + 1)) + 1/(<em>x</em> - 1) - 1/(2 (<em>x</em> - 1)²)

5 0
3 years ago
Coney island park wants a bumper car ride with 24 square meters of floor space and 22 meters of rail section. the floor plans do
ziro4ka [17]
The correct answer for this question is this one:

"<span>Coney island park wants a bumper car ride with 24 square meters of floor space and 22 meters of rail section" Probably, the area of this rectangular floor plan is equal to

Area = l * w
Area = 24 * 22
Area = 528 

Hope this helps answer your question.</span>
5 0
4 years ago
Which of the following is least?
Olegator [25]
In order from least to greatest, it's listed as:

0.015, 0.105, 0.15, 0.501.

0.015 is the lowest number because it is the farthest from being a whole. It starts with .0, whereas the rest of them have a number higher than 0 after the period. 
7 0
4 years ago
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