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Mathematics

1 answer:

Volgvan2 years ago

3 0

First, we find the y-intercept, which in this case is -1, because that's where the line crosses the y-axis.

y = mx + b

Where 'm' is the slope and 'b' is the y-intercept, therefore -1 replaces 'b':

y = mx - 1

Now let's take any two points on the line and find the slope.

m = y2-y1/x2-x1

(0, -1) and (1, 2)

m = (2 + 1)/(1 - 0)

m = 3/1

m = 3

So the slope is 3, plug this in the equation also:

y = 3x - 1

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The frequency of the musical note C4 is about 261.63 Hz. What is the frequency of the note a perfect fifth below C4?

kolbaska11 [484]

Answer:

The frequency of the note a perfect fifth below C4 is;

B- 174.42 Hz

Step-by-step explanation:

Here we note that to get the "perfect fifth" of a musical note we have to play a not that is either 1.5 above or 1.5 below the note to which we reference. Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz, we have

1.5 × Frequency of note Y = Frequency of C4

1.5 × Y = 261.63

Therefore, Y = 261.63/1.5 = 174.42 Hz.

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How do i figure out 9 1/6 - 8 5/6<br> and 10 3/4 - 6 4/4?

Westkost [7]

Answer:

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Step-by-step explanation:

You can convert he mixed numbers to improper fractions:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained to the numerator.

3. The denominator does not change.

Then:

$9\frac{1}{6}=\frac{54+1}{6}=\frac{55}{6}\\\\8\frac{5}{6}=\frac{48+5}{6}=\frac{53}{6}\\\\10\frac{3}{4}=\frac{40+3}{4}=\frac{43}{4}\\\\6\frac{4}{4}=\frac{24+4}{4}=\frac{28}{4}$