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Liono4ka [1.6K]
2 years ago
7

Find b given that A (-6, 2), B (b, 0), and C (3,-4) are collinear.

Mathematics
1 answer:
nydimaria [60]2 years ago
4 0

Answer:

b = -3.

Step-by-step explanation:

If the 3 points are collinear then:

Slope of AB = Slope  of BC and so

(0-2)/(b + 6) = (-4-0)/( 3 - b)

-4(b + 6) = -2(3 - b)

-4b - 24 = -6 + 2b

-24 + 6 = 2b + 4b

6b = -18

b = -3.

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f(8)=8+11=19

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The formula for the volume of a cylinder is V = pir2h. Solve the formula for the height h.
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H=v/(2pir)

You just have to isolate h. To do that you are going to divide both sides by 2pir. 
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The velocity of a car was 30m/s when the driver pushed the brake of the car and it stopped after 2 seconds. Assume that the acce
Murljashka [212]

Answer:

the "acceleration" is -15m/s (it's negative because it is slowing down, not speeding up[it might just be a positive 15m/s if it is called deceleration and not acceleration])

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30m/s (starting speed)/2 (the number of seconds it took to stop from 30m/s

3 0
3 years ago
3(4x+1)=15? X=<br> What is the solution?
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x=1

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3 0
2 years ago
What is the ratio for consonants to vowels,Vowels to total letters,and all letters to consonants
Studentka2010 [4]

Answers:

  • Ratio of consonants to vowels = 21:5
  • Ratio of vowels to total letters = 5:26
  • Ratio of all letters to consonants = 26:21

================================================

Explanation:

vowels = {a, e, i, o, u}

consonants = anything but a vowel (eg: the letter R)

There are 26 letters in the English alphabet. Five of which are vowels, so there are 26-5 = 21 consonants.

The ratio of consonants to vowels is 21:5

The <u>order is important</u> because the number of consonants must be listed first, simply because "consonants" is mentioned first in the phrasing "ratio of consonants to vowels". In other words, writing 5:21 would mean the ratio of vowels to consonants.

The ratio 21:5 cannot be reduced further since 21 and 5 have no factors in common (other than 1).

------------------------------

The other ratios will follow a similar idea as mentioned in the previous section.

To get the ratio of vowels to total letters, we list the number of vowels first (5) follow by the number of letters (26). A colon separates the two numbers to form the ratio 5:26

This ratio cannot be reduced further.

-------------------------------

Like in the previous sections, we'll glue together two numbers to form a ratio. In this case, we have 26 letters glued with 21 consonants to form the ratio 26:21 and this represents the ratio of total letters to consonants.

This ratio cannot be reduced further.

5 0
2 years ago
Read 2 more answers
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