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mixer [17]
3 years ago
15

Find the slope of the line passing through the two points.If: (–7, 8), (–4, 3)

Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0

Answer:

slope = - \frac{5}{3}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 7, 8) and (x₂, y₂ ) = (- 4, 3)

m = \frac{3-8}{-4+7} = \frac{-5}{3} = - \frac{5}{3}

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3 years ago
Simplify the complex expression (3+2i) + (-4+6i)
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(3 + 2i) + (-4 + 6i)

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3 years ago
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How do u do question 6. Pls help fast
photoshop1234 [79]
y=  \frac{a}{x-h} +k
\\x=4 \ vertical\ asymptote
\\ Vertical\ asymptote \ can\ be\  found \ from
\\ \\x - h = 0,\ x=h,
\\ \\ so \ h = 4
\\ \\ y=  \frac{a}{x-4} + k= \frac{a+kx-4k}{x-4} 
\\Vertical\ asymptote \ can\ be\ found\ as 
\\ \\  \frac{kx}{x} = k.
\\ We\ know\ that\ vertical\ asymptote\ is\ 2,\ so\ k=2.
\\ \\ y=  \frac{a}{x-4} + 2
\\ \\ We \ need\ to\ find\ a.\ We\ have\ point\ (5,4),\ that\ belongs\ to\ \\this\ function.\ So,
\\ \\ y=  \frac{a}{x-4} + 2
\\ \\4=  \frac{a}{5-4} + 2





4=  \frac{a}{5-4} + 2
\\ \\ 2=  \frac{a}{1} 
\\ \\ a=2
\\ \\ So,\ hyperbola\ has\ formula
\\ \\ y= \frac{2}{x-4} +2

5 0
3 years ago
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