1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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)

You might be interested in
The shadow of a vertical tower is 72.0-ft long when the angle of elevation of the
OlgaM077 [116]
38.15 ft is the height of the tower using tangent
4 0
3 years ago
Find the length of segment ST <br> A) 74 units <br> B) 12 units <br> C) 10 units <br> D) 74 units
vodomira [7]
74 units would be your answer for the length segment
4 0
4 years ago
Which two numbers add up to ___ and multiply to ___?
Assoli18 [71]
<span>1. multiply to -18 add to -17 = Multiplying -18 and 1 will give -18 as the result and then on adding -18 and + 1 the result comes to -17
</span><span>2. multiply to 36 add to -13 = Multiplying -9 and -4 will give -36 as the result and then on adding -9 and -4 the result comes to -13
</span><span>3. multiply to -24 add to -5<span>= </span></span><span>Multiplying -8 and +3 will give -24 as the result and then on adding -8 and +3 the result comes to -5
4. multiply to -18 add to 7= </span><span>Multiplying +9 and -2 will give -18 as the result and then on adding +9 and -2 the result comes to 7
5. multiply to -36 add to 9= </span><span><span>Multiplying +12 and -3 will give -36 as the result and then on adding +12 and -3 the result comes to 9
</span> 6. multiply to 24 add to 10= </span><span><span>Multiplying +6 and +4 will give 24 as the result and then on adding +6 and +4 the result comes to 10
</span> 7. multiply to 18 add to -9= </span><span><span><span>Multiplying -6 and -3 will give -18 as the result and then on adding -6 and -3 the result comes to -9
</span> 8. multiply to -36 add to -16</span>= </span><span>Multiplying -18 and +2 will give -36 as the result and then on adding -18 and +2 the result comes to -16</span>








3 0
3 years ago
Solve the problem. The half-life of plutonium-234 is 9 hours. If 50 milligrams is present now, how much will be present in 6 day
MaRussiya [10]

Answer:

  4)  0.001

Step-by-step explanation:

The amount (a) present in h hours is ...

  a(h) = (initial value)×(1/2)^(h/(half-life))

6 days is 6×24 hours, so the amount remaining is ...

  a(6×24) = 50×(1/2)^(6×24/9) = 50/2^16 ≈ 0.001 . . . . milligrams

3 0
3 years ago
Use the Pythagorean theorem to solve for x
Andre45 [30]

Answer: 15

Step-by-step explanation:

12^2 + 9^2 = 225

square root of 225 = 15

5 0
3 years ago
Other questions:
  • Pls I’m in the need of help right now
    9·1 answer
  • For 9x + 25 = 88, Deena wrote a situation “I bought some shirts at the store for $9 each and received a $25 discount. My total w
    5·1 answer
  • A tree diagram is helpful when finding the number of __________.
    12·2 answers
  • What is the surface area of 4ft 4ft 4ft
    13·2 answers
  • Can you please help with #2
    14·1 answer
  • NED HELP FAST!!!!!!!!!!!
    15·1 answer
  • How many hours does antoine sleep in a day
    15·1 answer
  • The set<br> of whole number less than 20
    10·2 answers
  • What is 19÷90×12<br><img src="https://tex.z-dn.net/?f=19%20%5Cdiv%2090%20%5Ctimes%2012" id="TexFormula1" title="19 \div 90 \time
    9·2 answers
  • HELPPPPP!!!!!!!!!!!!!!!!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!