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Katena32 [7]
3 years ago
9

Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined

Mathematics
1 answer:
Musya8 [376]3 years ago
5 0

Answer:

-\frac{7}{6}

Step-by-step explanation:

We can use the slope formula for the segment that joins any two points (x_1, y_1) and (x_2, y_2):

slope=\frac{y_2-y_1}{x_2-x_1}

which in our case gives:

slope=\frac{y_2-y_1}{x_2-x_1}  = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}

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2: x = -5/3 ; y = -4/3 (-5/3, -4/3)
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What is the explicit arithmetic sequence formula for 72, 48, 24,....?
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Point-slope equation of the line through (6,4) and (7,2)
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3 years ago
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You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How muc
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175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.

Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:

(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45

Solve for <em>v</em> :

43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)

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3 years ago
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