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Svetllana [295]
3 years ago
8

Multiplying rational numbers

Mathematics
1 answer:
Elanso [62]3 years ago
7 0
Rational numbers are numbers that can be written as the fraction of two integers. To multiply rational numbers together, simply the problem, then you multiply the tops and the bottoms separately to get your answer.
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2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)​
Darya [45]

Answer:

3/2

Step-by-step explanation:

Let it be

C (5;4) , A (2;1) ; B(7;6)

Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)

Use the formula xc=(m*xb+n*xa)/ (m+n)

5=(m*7+2n)/(m+n)

5m+5n= 7m+2n

2m=3n

m/n=3/2

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Which comparisons are true? Select all that apply.
natita [175]

Answer: I get c, but double check on your end

Step-by-step explanation:

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Amiraneli [1.4K]

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The answer is 77.7777 or 77.8 if to round to tenth.

Step-by-step explanation:

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3 years ago
A 20-inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour?​
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Answer:

Step-by-step explanation:

2 inches per hour

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3 years ago
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Iver a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at
enot [183]

Answer:

f(x)=3.95sin(\frac{\pi}{12}x)+4.35

Step-by-step explanation:

<u>Recall:</u>

  • Sinusoidal Function -> f(x)=a*sin(bx+c)+d
  • Amplitude -> a
  • Period -> \frac{2\pi}{|b|}
  • Phase Shift -> -\frac{c}{b}
  • Vertical Shift/Midline -> d

<u>Given:</u>

  • Amplitude -> a=8.3-4.35=3.95
  • Period -> \frac{2\pi}{|b|}=\frac{2\pi}{|24|}=\frac{2\pi}{24}=\frac{\pi}{12}
  • Phase Shift -> -\frac{c}{b}=-\frac{0}{24}=0
  • Vertical Shift/Midline -> d=\frac{8.3+0.4}{2}=\frac{8.7}{2}=4.35

<u>Conclusion:</u>

The equation that models the situation is f(x)=3.95sin(\frac{\pi}{12}x)+4.35

Hope this helped! I've attached a graph of the function so you can understand it better!

7 0
3 years ago
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