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KATRIN_1 [288]
2 years ago
6

Quick question: is this the way you do this?

Mathematics
1 answer:
Dmitry [639]2 years ago
4 0

Answer:

Yes, you did really good actually.

Step-by-step explanation:

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Prove that the product of any two consecutive natural numbers is even.
Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

Product=n(n+1)\\\\

We know that the sum of 'n' consecutive natural numbers starting from 1 is

S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)

Thus from equation 'i' we can write

Product=2\times S_n

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.

6 0
3 years ago
Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality.
Elan Coil [88]

The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.

  • x ≠ 0
  • y ≠ 0
  • Sign(x) =sign(y)

<h3>Which points are solutions of the inequality?</h3>

We want to find points of the form (x, y) that are solutions of the inequality:

x*y > 0

Clearly x and y must be different than zero.

So, for example if x = -1, y can be any negative number, for example y= -3

x*y > 0

(-1)*(-3) > 0

3 > 0

This is true.

Now if x  = 1, y must be positive. LEt's take y = 103, then:

x*y > 0

1*103 > 0

103 > 0

Then we have 3 conditions:

  • x ≠ 0
  • y ≠ 0
  • Sign(x) =sign(y)

The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.

If you want to learn more about inequalities:

brainly.com/question/25275758

#SPJ1

4 0
2 years ago
It takes 20 minutes to make 4 model airplanes. How many model airplanes can be made in 2 hours?
Viefleur [7K]

Answer: 24 model airplanes can be made in 2 hours.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve the equation -2(m-30)=-6m
Sergio039 [100]

Answer:

m=-15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. m=-15

7 0
3 years ago
Pls6ssssssssssssssssssssssssssss
max2010maxim [7]

Answer: 220

Step-by-step explanation:

176 dived by 4 is 44, 44 times 5 is 220 your welcome

8 0
2 years ago
Read 2 more answers
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