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RoseWind [281]
3 years ago
10

Find the slope of the line that contains thepoint (4, −9) and has a y intercept of 2.

Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:

<h2>         m = -¹¹/₄</h2>

Step-by-step explanation:

The equation of a line with slope of <em>m</em> and y-intercept of <em>b</em> is: y = mx + b

b = 2 and line contains the point (4, -9), so:

-9 = m×4 + 2          {subtract 2 from both sides}

-11 = 4m                   {divide booth sides by 4

m = -¹¹/₄

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Answer:

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8 0
3 years ago
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Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel. How long would i
Whitepunk [10]

Answer:

32 hours.

Step-by-step explanation:

Let x represent the time taken by Russell and Aaron to build the shed.

We have been given that Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel.

Russell's work rate would be \frac{1}{x}.

Since Aaron works three times as fast as Russel, so Aaron's work rate would be \frac{3}{x}.

Part of work done by in one hour would be \frac{1}{8}.

We can represent our given information in an equation as:

\frac{1}{x}+\frac{3}{x}=\frac{1}{8}

Let us solve for x.

\frac{1}{x}*8x+\frac{3}{x}*8x=\frac{1}{8}*8x

8+3*8=x

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Therefore, it will take Russell 32 hours to build the shed working alone.

4 0
3 years ago
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4 0
3 years ago
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3 0
2 years ago
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If 10 + 5x is 12 more 8, what is the value of 3x?
vredina [299]

Answer:

3x=6

Step-by-step explanation:

10 + 5x =8+12

10 +5x = 20

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3(2) = 6

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