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likoan [24]
3 years ago
7

What is the missing side length?

Mathematics
1 answer:
Leokris [45]3 years ago
3 0

Step-by-step explanation:

the missing side length is 6..........

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Draw a Hasse diagram of the partial order << of the set {2,3,4,6,8,9,10,12} where a << b iff b is divisible by a.
Ray Of Light [21]

Step-by-step explanation:

Consider the provided set {2,3,4,6,8,9,10,12}

Let the set is A.

A={(2 \prec 4), (2 \prec 6), (2 \prec 8), (2 \prec 10), (2 \prec 12), (3 \prec 6), (3 \prec 9), (4 \prec 8), (4 \prec 12), (6 \prec 12)}

Hence the required Hasse diagram is shown in figure 1:

In the Hasse diagram 2 and 3 are on the same level as they are not related.

The next numbers are 4, 6, 9, and 10. 4, 6 and 10 are divisible by both 2. 6 and 9 are divisible by 3. Then 8 and 12 are divisible by 4 also 12 is divisible by 6.

Hence, the required diagram of the partial order of the set {2,3,4,6,8,9,10,12} is shown in figure 1.

8 0
3 years ago
The points (-6, r)<br> and<br> (6,3) lie on a line with slope 3/4. Find the missing coordinate r.
NeTakaya

Answer:

r = -6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that m = \frac{3}{4}, and thus:

y = \frac{3}{4}x + b

(6,3)

This means that when x = 6, y = 3. We use this to find b. So

y = \frac{3}{4}x + b

3 = \frac{3}{4}(6) + b

b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}

So

y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}

(-6, r)

r is y when x = -6. So

y = \frac{3(-6) - 6}{4} = -6

So r = -6.

5 0
3 years ago
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