3 years ago

PLZ HURRY DUE BY 9:30

Mathematics

1 answer:

son4ous [18]3 years ago

7 0

Answer:

5,45

Step-by-step explanation:

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How many equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)}?

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Answer:

Step-by-step explanation:

There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of

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triangles that can be drawn having two vertices in the set

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A line intersects the points (8, 2) and (12, -10). What is the slope of the line in simplest form? m = [?]

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Answer: $\textsf{y = -3}$

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Given: $\textsf{Goes through (8, 2) and (12, -10)}$

Find: $\textsf{The slope of the line}$

Solution: In order to determine the slope of the line we need to use the slope formula where we just plug in the values and simplify.

Plug in the values

$\textsf{y = }\frac{y_2 - y_1}{x_2 - x_1}$

$\textsf{y = }\frac{-10 - 2}{12 - 8}$

Simplify the expression

$\textsf{y = }\frac{-12}{12 - 8}$

$\textsf{y = }\frac{-12}{4}$

$\textsf{y = -3}$

Therefore, the slope of the line that fits the description that was provided in the problem statement is -3.

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Value of 3 in the tenths place = 3×10⁻²
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