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bazaltina [42]
3 years ago
14

What is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18

Mathematics
2 answers:
DanielleElmas [232]3 years ago
4 0

\text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3

guapka [62]3 years ago
4 0

Answer:

A on edge/e2020

Step-by-step explanation:

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ziro4ka [17]

Answer:

  • (6-u)/(2+u)
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Step-by-step explanation:

There are a few ways you can write the equivalent of this.

1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...

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Or, you can rearrange the terms so the leading coefficient is positive:

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2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.

  -(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)

or

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Of course, anywhere along the chain of equal signs the expressions are equivalent.

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3) You can separate the numerator terms, expressing each over the denominator:

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4) You can also multiply numerator and denominator by some constant, say 3:

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You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:

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7 0
3 years ago
Saira is using the formula for the area of a circle to determine the value of LaTeX: \piπ. She is using the expression LaTeX: Ar
lord [1]

Given:

Area of a circle, A=50.265 sq. units.

Radius of circle, r = 4 units.

To find:

The value of π to the nearest thousandth.

Solution:

Formula for area of a circle is

A=\pi r^2

\dfrac{A}{r^2}=\pi

Ar^{-2}=\pi

Now, using Ar^{-2} expression, we can find the value of π.

\pi=50.265904(4)^{-2}

\pi=\dfrac{50.265904}{4^2}

\pi=\dfrac{50.265904}{16}

\pi=3.141619

Approximate the value to the nearest thousandth (three digits after decimal).

\pi\approx 3.142

Therefore, the approximated value of π is 3.142.

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