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mafiozo [28]
3 years ago
5

Determine the slope of each line Plz help!!!

Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer:

7/3

Step-by-step explanation:

To solve use: m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

(-1,5) and (-7,-9)

x1  y1       x2  y2

m= \frac{-9-5}{-7-(-1)}        *When multiplying or dividing a negative by a negative you get a positive*

Solve:

m= \frac{-14}{-6} or \frac{-7}{-3}--------> \frac{7}{3}

Hope this helps!

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find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer
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Answer:

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Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring:  (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6.  We omit s = -3 because it's not even.

The smaller integer is 4.  Does this satisfy the equation s^2 = (s + 2) + 10?

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16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

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