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marshall27 [118]
3 years ago
14

I need to simplify this complex fraction

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

I see two ways to do it.

First, you have to understand that when you see a 'complex fraction' like this, the top number is a numerator, and the two bottom numbers are both denominators.

Way-1:

Take the top fraction . . . 2/2 .  That's equal to 1 . So the whole thing is <em>1/3</em>.

Way-2:

Multiply the bottom two denominators.  Then the whole thing is 2/(2·3) .  That's the same thing as  2/6 .  Simplify that, and you have <em>1/3</em> .

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4x^2-21x-18=0<br> Find the discriminate
SpyIntel [72]

a = 4, b = -21, c = -18

to keep from getting "mixed up", evaluate the discriminant first ...

b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729

sqrt(729) = 27

x = (21 +/- 27)/8

x = -3/4, x = 6

since the discriminant is a perfect square, the original quadratic will factor ...

4x<sup>2</sup> - 21x - 18 = 0

(4x + 3)(x - 6) = 0

x = -3/4, x = 6

6 0
2 years ago
Read 2 more answers
Need some help with this
kramer

Answer:

Step-by-step explanation:

The total number of outcomes the two fair number cubes are thrown is 36. This can be seen by counting the outcomes shown on the table.

a) for a sum of 4, there are only 3 possible outcomes. They are 3,2 2,2 and 1,3

Therefore, the probability of getting a sum of 4 will be

3/36 = 1/12

b) for a sum of 5, there are only 4 possible outcomes. They are 4,1 3,2 2,3 and 1,4

Therefore, the probability of getting a sum of 4 will be

4/36 = 1/9

c)for a sum of 6, there are only 5 possible outcomes. They are 5,1 4,2 3,3 2,4 and 1,5

Therefore, the probability of getting a sum of 6 will be

5/36 = 5/36

The probability that the sum of the results of the throw is 4,5 or 6 would be

1/12 + 1/9 + 5/36 = (3 + 4 + 5)/36 = 12/36 = 1/3

7 0
3 years ago
The angles is 1/12 of the circle. how many degress
Sergio [31]
30 degrees of the circle which is an acute angle.
4 0
3 years ago
Mick departs Sydney on Tuesday at 6:00 am and arrives in Christchurch on Tuesday at 12:45 pm. If Christchurch time is 2 hours ah
Andrej [43]

Answer:

4 hours and 45 minutes.

Step-by-step explanation:

Since Christchurch is 2 hours ahead of Sydney, you subtract 2 from 12:45 and get 10:45 so then, you determine the difference between 10:45 and 6:00 AM and it results in 4.75 hours or 4 hours and 45 minutes

7 0
3 years ago
work out the total area of triangle ABC. calculate the area of AC. sides are:8.2cm and 13.5cm and angle 81 degrees
umka2103 [35]

Answer:

54.67 cm²

Step-by-step explanation:

Given that the two sides of Δ ABC are 8.2 cm and 13.5 cm and the angle included by those sides is 81°.

Let, b = 8.2 cm and c = 13.5 cm and ∠ A = 81°

Hence, area of triangle ABC, Δ = \frac{1}{2} bc \sin A

⇒ Δ = \frac{1}{2} bc \sin 81

⇒ Δ = \frac{8.2 \times 13.5 \times \sin 81}{2}

⇒ Δ = 54.67 cm² (Answer)

7 0
3 years ago
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