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Olenka [21]
3 years ago
14

Prove that the difference between squares of consecutive even numbers is always a multiple of 4

Mathematics
2 answers:
jasenka [17]3 years ago
5 0

Answer:

Answer: Proved: the difference between squares of consecutive even numbers is always a multiple of 4. ... From the results above, we can see that 12, 20, and 28 are multiples of 4. Therefore, the difference between squares of consecutive even numbers is always a multiple of 4.

Step-by-step explanation:

svp [43]3 years ago
4 0

Answer:

Step-by-step explanation:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

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Select ALL the correct answers.
jolli1 [7]

Answer:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

   (-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

   Option A is correct.

Option B:

   3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

   Option B is wrong.

Option C:

   2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5

   Option C is correct.

Option D:

   (2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

   Option D is correct.

4 0
2 years ago
The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible length
Lena [83]
In the problem, two legs measurement were given such as:
Leg 1 = 12 inches
Leg 2 = 15 inches

We need to solve for the third leg. Since it is a right triangle, we can use Pythagorean theorem in solving the missing leg:
c²=b²+a²

When we assume that the third leg is the "c", we can for the value such as:
c² = 12²+15²
c=19.21

When we assume that the third is either "a" or "b":
15² =a² + 12²
a=9

Then, the possible measurement of the third leg is 9 or 19.21.
The difference between the two possible answer is shown below:
Difference = 19.21 -9 = 10.21
Difference =10.21
6 0
3 years ago
Help me please on this please open the whole photo so you can see other problems ​
OlgaM077 [116]

Answer: 1. 57

               2. 43

              3.  20

             4.  32

             5.    16

Step-by-step explanation: am here to help

7 0
3 years ago
A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?
Tpy6a [65]

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

a \:  \:  \alpha  \:  \:  \frac{k}{b}

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

7.2=  \frac{k}{ - 4}

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

a =  -  \frac{28.8}{b}

When

b = 6

That's

a =  -  \frac{28.8}{6}

We have the final answer as

<h3>a = - 4.8</h3>

Hope this helps you

7 0
3 years ago
Mrs. Smith asked her students to make observations about the histogram, Annual Rainfall of Cities.
kakasveta [241]

Answer:

Maria and Antonio

Step-by-step explanation:

sorry if it's wrong

5 0
2 years ago
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