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
UkoKoshka [18]
3 years ago
11

Prove using algebra that the difference between the squares of consecutive odd numbers is always a multiple of 8.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

in steps

Step-by-step explanation:

(2n+3)² - (2n+1)² = 4n² + 12n + 9 - 4n² -4n - 1

= 8n + 8 = 8 (n + 1)  ... always multiple of 8

You might be interested in
Why do you need 23 days to count from 1 to 1 million?
Katyanochek1 [597]
This question is ambiguous. The time to count to 1 million could be more or less then 23 days. However, if someone counted to 1 million in 23 days nonstop, the interval between saying the next number would be 2 seconds.
See here for more information. https://www.quora.com/How-long-does-it-take-to-count-to-one-million


5 0
3 years ago
Determine the domain of the function.
nydimaria [60]
f(x)=\dfrac{4}{x^2}D:\ x^2\neq0\to x\neq0\\\\Answer:\ All\ real\ numbers\ except\ 0.
6 0
3 years ago
Can you help me on question 23
const2013 [10]

Answer:

your answer is D

Step-by-step explanation:

8 0
2 years ago
Simplify the following expression below:
IrinaK [193]
So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate: 
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13

(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b =  - 2
= 3^2 + (- 2)^2

refine: = 13
= 4(3 + 2i)/13

distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)

Simplify:
4(3) + 4(2i)
12    +    8i


4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)

Multiply the numbers: 4(2) = 8
= 12 + 8i


   12 + 8i
= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
7 0
3 years ago
What’s the correct answer for this?
andreev551 [17]

Answer:

the first one

Step-by-step explanation:

hope this helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which is an equation for the given word problem? After Joel deposits $25.50 into his savings account, his balance is $275.00. Wh
    9·1 answer
  • When data consist of rates of change, such as speeds, the harmonic mean is an appropriate measure of central tendency. The harmo
    8·1 answer
  • What does -2/3÷2 1/4 equal on khan academy?
    15·1 answer
  • What is the first 5 common multiples of 7 and 20
    6·1 answer
  • A single tree produces about 2.6 × 10² lb of oxygen each year. The Amazon rainforest has about 3.9×<img src="https://tex.z-dn.ne
    15·1 answer
  • 1. 6:8
    6·1 answer
  • Please help with all, I’ll mark brainliest as long as you tell me how you got those answers. :)
    14·2 answers
  • Rob and his family ordered a meal that cost $100. Rob paid 4% sales tax and left an 18% tip on $100. What was the total cost
    5·2 answers
  • What property is used to show that 3(4-6)=12-18?​
    14·2 answers
  • How many 1/4 cup servings are in 5/6 cups of yogurt?​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!