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
A petroleum laboratory technician can perform 56 tests on samples in 7 hours. At this rate, how many of the same
natima [27]

Answer:

64

Step-by-step explanation:

56/7 = 8

8*8 = 64

64 tests

7 0
3 years ago
Read 2 more answers
The local newspaper has letters to the editor from 10 people. If this number represents ​2% of all of the​ newspaper's readers,
RideAnS [48]

Answer:

The newspaper has 500 readers.

Step-by-step explanation:

We have that:

10 people is 2$ of all newspapers readers, which total t. This means that:

0.02t = 10

t = \frac{10}{0.02}

t = \frac{1000}{2}

t = 500

The newspaper has 500 readers.

5 0
3 years ago
What is the reciprocal of 1.5
Slav-nsk [51]

Answer:

2/3 or 0.666666...

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the area of Figure ABCD?
nevsk [136]
The answer is c. 66 square inches.
7 0
3 years ago
What is the correct solution? from the graph ( x , y )​
Zanzabum
Well if it is the point where the two lines intersect then it is (2,3)
8 0
2 years ago
Other questions:
  • Combine like terms to create an equivalent expression.<br> 0.25k+1.5-k-3.50.25k+1.5−k−3.5
    13·2 answers
  • Which equation has no solution?
    8·1 answer
  • Marketing estimates that a new instrument for the analysis of soil samples will be very successful, moderately successful, or un
    7·1 answer
  • All parallelograms are _______
    12·1 answer
  • How do you simplify a square root?
    13·1 answer
  • What is the value of the function, f(x)=x^2-5x when x=-5 ?
    6·1 answer
  • Please solve this ASAP.
    6·1 answer
  • Really Easy, Help pleaseee
    5·2 answers
  • 24. Demography A city has a population of 71,500. Ten years ago the population
    7·1 answer
  • A square acre of land is 5,280 square yards.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!