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Ierofanga [76]
2 years ago
7

Find the distance between (1, 3) and (-2, -6) and put it in simplest radical form

Mathematics
2 answers:
julia-pushkina [17]2 years ago
5 0

Answer:

D=\sqrt{90}\ or\ D=9.49

Step-by-step explanation:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\D=\sqrt{(-2-1)^2+(-6-3)^2}\\\\D=\sqrt{(-2-1)^2+(-6-3)^2} \\\\D=\sqrt{(-3)^2+(-9)^2} \\\\D=\sqrt{9+81} \\\\D=\sqrt{90}\\\\D=9.49

Hope this helps!

GarryVolchara [31]2 years ago
3 0

Answer:

  • \tt 9.48

Step-by-step explanation:

(1,3) and (-2,-6)

\tt Distance= \sqrt{(-6-3)^2+(-2-1)^2}

\tt =\sqrt{9^2+3^2}

\tt =\sqrt{81+9} =\sqrt{90}

\tt Distance=\sqrt{90} =9.48

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Step-by-step explanation:

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Find the horizontal and vertical asymptotes of​ f(x). ​f(x) equals = StartFraction 6 x Over x plus 2 EndFraction 6x x+2 Find the
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Answer:

The horizontal asymptote can be described by the line y = 6

The vertical asymptote can be described by the line x = -2

Step-by-step explanation:

* <em>Lets the meaning of vertical and horizontal asymptotes</em>

- <u><em>Vertical asymptotes</em></u> are vertical lines which correspond to the zeroes

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- <u><em>A horizontal asymptote</em></u> is a y-value on a graph which a function

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- If the degree of the numerator is less than the degree of the

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- If the degree of the numerator is greater than the degree of the

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- If the degree of the numerator is equal the degree of the denominator,

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* <em>Lets solve the problem</em>

∵ f(x)=\frac{6x}{x+2}

∵ The numerator is 6x

∵ The denominator is x + 2

∴ The numerator and the denominator have same degree

∵ The leading coefficient of the numerator is 6

∵ The leading coefficient of the denominator is 1

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∴ <em>The horizontal asymptote can be described by the line y = 6</em>

- Put the denominator equal zero to find its zeroes

∵ The denominator is x + 2

∴ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ <em>The vertical asymptote can be described by the line x = -2</em>

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