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3 years ago

A line that includes the points (k,7) and (0,8) has a slope of 1 7 . What is the value of k?

Mathematics

1 answer:

Shalnov [3]3 years ago

3 0

value of k is $k=\frac{-1}{17}$

Step-by-step explanation:

We are given points (k,7) and (0,8) has a slope of 1 7 . What is the value of k?

The formula to find the slope given two points is:

$Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where x₁ = k, y₁=7, x₂=0, y₂=0

Putting values:

$Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\17=\frac{8-7}{0-k}\\17=\frac{1}{-k}\\Multiplying\,\,both\,\,sides\,\,by\,\,-k\\17*-k=1\\Divide\,\,by\,\,17\\-k=\frac{1}{17}\\ k=\frac{-1}{17}$

So, value of k is $k=\frac{-1}{17}$

Keywords: Slope

Learn more about slope at:

#learnwithBrainly

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Answer:

1.33%

Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago

Read 2 more answers

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3 years ago

Ian has the option of purchasing or renting a home. The purchase option requires a loan of $100,000 for a 20-year term at a 4.9%

jenyasd209 [6]

Answer:

The correct answer to the following question will be "70.56".

Step-by-step explanation:

The given values are:

Loan requires, PV = $100,000

Years = 20

Number of months, n = 240

Rate interest = 4.90000%

Monthly rate, r = 0.408333%

Monthly rental payment = $725

As we know,

$PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]$

On putting the values in the above formula, we get

⇒ $100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]$

⇒ $100000=PMT\times 152.8014557$

⇒ $PMT=\frac{100000}{152.8014557}$

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Now,

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On putting the values, we get

⇒ $=725-654.44$

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3 0

3 years ago

Can someone help please

Trava [24]

9514 1404 393

Answer:

16.4

Step-by-step explanation:

The law of cosines is useful here. It tells you ...

b^2 = a^2 + c^2 -2ac·cos(B)

b^2 = 22^2 +10^2 -2·22·10·cos(44°)

b^2 ≈ 267.49

b ≈ √267.49 ≈ 16.35514

b ≈ 16.4

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3 years ago