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malfutka [58]
3 years ago
9

Find the slope of the line that passes through Point A $$(​−5,7) and Point B $$(2,5), using the formula $$m=

Mathematics
1 answer:
tester [92]3 years ago
8 0

Answer:

slope = - \frac{2}{7}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 5, 7 ) and (x₂, y₂ ) = (2, 5 )

m = \frac{5-7}{2-(-5)} = \frac{-2}{2+5} = - \frac{2}{7}

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Solve the following inequality.
Anika [276]

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>

<em><u /></em>\frac{m - 2}{3} < -2 \\

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4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

\frac{m - 2}{3} < -2 \\

  • Multiply both sides by 3

\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6

  • Add 2 to both sides

m - 2 + 2 < -6 + 2\\\\m < -4

Or

4m + 3 > 15

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4m + 3 - 3 > 15 - 3

4m > 12

  • Divide both sides by 4

\frac{4m}{4}  > \frac{12}{4} \\\\

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/24434501

8 0
3 years ago
A garden hose emits 9 quarts of water in 6 seconds how much did the water emit in 10seconds
jarptica [38.1K]

Answer:

In 10 seconds, the garden hose will emit 15 quarts of water.  

Step-by-step explanation:

The amount of water emitted by the garden hose over time can be expressed as a ratio:  9/6, or 9 quarts of water for every 6 seconds of time.  We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time.  Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds:  3/2 = x/10.  We look at the denominators and see that 2 x 5 = 10.  In order to make the ratios equivalent, we would also multiply the numerator by 5:  3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.  

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David says,
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Answer:

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(you have to multiply my 3600 to get seconds into hours)

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