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Diano4ka-milaya [45]
3 years ago
11

Use the distance formula to decide whether ab=bc A(4,2) B(-1,-1) C(-6,-4)

Mathematics
1 answer:
quester [9]3 years ago
4 0
AB= \sqrt{(-1-4)^2+(-1-2) ^{2} }= \sqrt{(-5)^2+(-3)^2}= \sqrt{34}   \\  \\  BC= \sqrt{(-6+1)^2+(-4+1) ^{2} }= \sqrt{(-5)^2+(-3)^2}= \sqrt{34}   \\  \\  \sqrt{34}= \sqrt{34} \ \ \to \ \ AB=BC
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What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)​
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Answer:

\boxed{m = - \frac{33}{14} }

.

Step-by-step explanation:

Use the form below

\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}

Where

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.

So, the slope is

(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1

(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}

.

m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }

m = \frac{\frac{11}{2} }{\frac{-7}{3} }

m = \frac{11}{2} \div (-\frac{7}{3} )

m = \frac{11}{2} \times (-\frac{3}{7} )

m = - \frac{33}{14}

.

Happy to help:)

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Step-by-step explanation:

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