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Zanzabum
4 years ago
7

Solve for the distance from point A to point B. Round your answer to

Mathematics
1 answer:
Cloud [144]4 years ago
6 0

Answer:

11.4

Step-by-step explanation:

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

1. d=\sqrt{(-4-5)^2+(-3-4)^2}

2. d=\sqrt{(-9)^2+(-7)^2}

3. d=\sqrt{81+49}

4. d=\sqrt{130}

5. d=11.4017

6. d=11.4

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Set up the proportion as a fraction.
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4 years ago
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3 years ago
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sergiy2304 [10]

\bf \begin{cases} \boxed{y}=6x-11\\ \cline{1-1} -2x-3y=-7 \end{cases}\qquad \implies \stackrel{\textit{substituting \underline{y} in the 2nd equation}}{-2x-3\left( \boxed{6x-11} \right)=-7}

\bf -2x-18x+33=-7\implies -20x+33=-7\implies -20x=-40 \\\\\\ x=\cfrac{-40}{-20}\implies \blacktriangleright x=2 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that }}{y=6x-11}\implies y=6(2)-11\implies y=12-11\implies \blacktriangleright y=1 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,1)~\hfill

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3 years ago
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