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anastassius [24]
3 years ago
5

Can someone please prove that the expression (x-y)+(y-z)+(z-x) is equivalent to 0

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

(x-y)+(y-z)+(z-x)\\\\=x-y+y-z+z-x\\\\=(x-x)+(-y+y)+(-z+z)\\\\=0+0+0\\\\=0

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Solve the system of equations using the linear combination method {5p-3q=-39 -2p-3q=3
VikaD [51]

Answer:

p=-6

q=3

Step-by-step explanation:

5p-3q=-39

-2p-3q=3

Multiply the second equation by -1

2p +3q = -3

Add the first equation and the modified second equation

5p-3q=-39

2p +3q = -3

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

7p = -42

Divide by 7

7p/7 = -42/7

p = -6

Now we can find q

2p +3q = -3

2(-6) +3q = -3

-12 +3q = -3

Add 12 to each side

-12+12 +3q = -3+12

3q = 9

Divide by 3

3q/3 = 9/3

q=3

6 0
3 years ago
Read 2 more answers
How many different committees can be formed from 6 teachers and 37 students if the committee consists of 4 teachers and 4 ​stude
Anna [14]

Answer:

The committee of 8 members can be selected in 990,675 different ways.

Step-by-step explanation:

The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

4 teachers from a set of 6.

4 students from a set of 37.

Then

T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675

The committee of 8 members can be selected in 990,675 different ways.

4 0
3 years ago
Is f(x)=3/4 a function?
Marat540 [252]

Answer:

Yes, f(x) = \frac{3}{4} is a constant function.

Step-by-step explanation:

A function is defined to be a relation from 1 set of numbers to another set of numbers.

The main condition for a relation to be a function is that for every number in the domain there should be a <u>unique image</u>

Here the given function is f(x) = \frac{3}{4}

This function is a constant function and gives the value 0.75 for all values of x.

Hence the graph would be a straight line parallel to the x-axis passing through y = 0.75.

Hence the f(x) = 0.75 is a function.

4 0
3 years ago
5 points
saw5 [17]
B.30




cause 60 is 30 halted so yeah
6 0
3 years ago
Read 2 more answers
ANSWER THE 2 QUESTION IN 1 MINUTE AND YOU WILL BE THE BRAINLIEST! QUICK QUICK PLEASE!
Oksi-84 [34.3K]

Answer:

1. 54

2. 5

Step-by-step explanation:

1. 18 x 3 = 54

2. 90/18 = 5

4 0
4 years ago
Read 2 more answers
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