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4 years ago

Fie Paralelipipedul dreptunghic ABCDA'B'C'D'. Demonstrati ca ( C'DB ) paralel ( AD'B' )

Mathematics

1 answer:

mash [69]4 years ago

6 0

Abcdefghijklmnop quoia

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Factorise 9 X square + Y square + Z square - 6 X Y + 2 Y Z - 6 x z hence find its value when X is equals to 1 by equal to 2 and

Assoli18 [71]

a) Factor 9x² + y² + z² - 6xy + 2yz - 6xz

This looks a lot like

(x+y+z)² = x² + y² + z²+ 2xy + 2yz + 2xz

except instead of x there's (-3x). So this must be

(-3x+y+z)² = (-3x)² + y² + z² + 2((-3x)y + (-3x)z + yz)

= 9x² + y² + z² - 6xy + 2yz - 6xz

Looks good.

Answer: (-3x+y+z)²

Since it's a square we could also negate the inside and write this (3x-y-z)²

b) I'll guess that says we want to evaluate this when x=1, y=2, z= -1

(-3(1) + 2 -1)² = (-2)² = 4

Answer: 4

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4 years ago

Mark has a standard deck of 52 cards and a fair two-sided coin. What is the probability that he will pull a jack from the deck o

murzikaleks [220]

0.0025 would be the chance.

7 0

4 years ago

Someone please help on with these problems

Gemiola [76]

I suggest you using for those problems!

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3 years ago

Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to th

Pani-rosa [81]

Solution: We have to find the Frequency and Relative frequency of the given data:

Frequency is the number of times a number occurs.

Relative Frequency is the number of times a number occurs divided by the total number of items.

Therefore, the frequency and relative frequency are calculated as below:

Number Frequency Relative Frequency

20 1 $\frac{1}{31} \times 100 =3.2\%$

21 4 $\frac{4}{31} \times 100 =12.9\%$

22 2 $\frac{2}{31} \times 100 =6.5\%$

23 4 $\frac{4}{31} \times 100 =12.9\%$

24 3 $\frac{3}{31} \times 100 =9.7\%$

25 2 $\frac{2}{31} \times 100 =6.5\%$

26 3 $\frac{3}{31} \times 100 =9.7\%$

27 5 $\frac{5}{31} \times 100 =16.1\%$

28 3 $\frac{3}{31} \times 100 =9.7\%$

29 4 $\frac{4}{31} \times 100 =12.9\%$

Total 31

6 0

3 years ago

How many 1/2 cup servings are in<br> 3/4cups of yogurt? (in simplest fraction form)

attashe74 [19]

Answer:

3/2

Step-by-step explanation:

(3/4)/(1/2)=(3/4)(2/1)=6/4=3/2

4 0

3 years ago