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
goldfiish [28.3K]
3 years ago
15

Prove that (2n+1)^2 - (2n+1)^2 is a multiple of 8 for all positive integer values of n

Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

(2n + 1)[(2n + 1) � 1]

(2n + 1)(2n + 1 � 1)

(2n + 1)(2n), or 2n(2n + 1)

2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number

Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER

Step-by-step explanation:

You might be interested in
The angles of a
vodomira [7]

Answer:

30, 150, 120, and 60 degrees

Step-by-step explanation:

Since the sum of the interior angles in a quadrilateral is 360 degrees:

y+5y+4y+2y=360

12y=360

y=30

2y=60, 4y=120, 5y=150

Hope this helps!

7 0
3 years ago
Read 2 more answers
Maureen has a net spendable income of $2,100 per month. She sets up the following transportation budget for herself. 3. Transpor
Aleksandr-060686 [28]
She would need $387 dollars to cover her transportation budget. She will need to increase her transportation budget to cover the minimum recommended amount. hope this helps
4 0
3 years ago
Read 2 more answers
The Drama Club plans to take and sell pictures at homecoming to raise funds for an upcoming play. They paid $25 to rent lighting
anyanavicka [17]

Answer:

They will need 7 pictures. yw

Step-by-step explanation:

6 0
3 years ago
What term describes a pair of vertical angles that are alos supplementary: acute obtuse right straight
Paraphin [41]
The answer is obtuse 

6 0
3 years ago
Read 2 more answers
Can someone help me please???!
serg [7]

Answer:

1) Yes, it is a right angle triangle

2)Yes, it is a right angle triangle

3) No, they are not similar.

Step-by-step explanation:

Dimension of triangle A = 48, 55 & 73

Dimension of triangle B = 36, 77 & 85

For any of the triangles to be a right angled one, then;

c = √(a² + b²)

Where a,b & c are side dimensions of a triangle.

Thus;

Triangle A: c = √(48² + 55²)

c = √5329

c = 73

This tallies with what we are given and so it is a right angled triangle.

Triangle B: c = √(36² + 77²)

c = √(7225)

c = 85

Similar to the third side dimension of 85, thus it is true.

For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.

Thus, we have;

48/36 = 1.5

55/77 = 5/7

73/85 = 73/85

Since the ratios are not similar, then we can say that the triangles are not similar.

4 0
3 years ago
Other questions:
  • brendon claims that the number five has the property that the product if three less than it with one more than it is the same as
    9·1 answer
  • A 50-foot flagpole is at the entrance of a building that is 300 feet tall. If the length of the flagpole's shadow is 30 feet at
    14·2 answers
  • Please help me I usually know how to do this but I idk what I am doing wrong
    8·2 answers
  • 20 points!!! will mark brainliest!!!!!
    8·2 answers
  • The probability of flowering plants bearing flowers in January is given the table. If a plant has flowered in January, what is t
    8·2 answers
  • Find the area of the shaded part of the figure below
    7·2 answers
  • Solve the inequality for x: 25 - 14x < 53*
    13·1 answer
  • Please helppp!!!!!! im giving all my points left
    15·1 answer
  • 1 million 14 hundred thousands 6 thousand 34 hundreds 70 tens 2 ones in standard from, please someone help me out.
    7·1 answer
  • Does anyone wanna do this for me? I don't wanna do it.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!