prove that for any natural value of n the value of the expression (n+2)^2-(n-2)^2 is a multiple of 8.

Answers

Answer 1

Answer:

Se below

Step-by-step explanation:

Simplifying, using formula a^2 - b^2 = (a +b)(a - b)

(n + 2)^2 - (n - 2)^2 =(n + 2 + n - 2)(n + 2 - n + 2) =2n(4) =8n

As  we see the resulting expression is multiple of 8

Answer 2
5866 is the answer to this

Related Questions

Someone, please help this is also for my final grades so please do it correctly:)

Answers

Answer:

well, There looking for a paint mixture of a pink. but we don't want to over power the white to mush, so we know that there has to be less red paint than white. My guess would be 3/7. I really hope this is correct and if it is i hope this helped.

In my opinion I think it’s 3/7

what would x+2y=-2 in slope intercept form?

Answers

Answer:

y= - 1/2*x -1

Step-by-step explanation:

12 points!!!!!!!!!!!!!! and brainliest

Answers

Could you mark as brainless so I can give answers I’ve been cheated out so many times

Answer:d

Step-by-step explanation:

Please help me I will give you the brain thing and extra points. (image below)

Answers

Answer:

A) 5 minutes

Step-by-step explanation:

What you’re looking for is where the two lines on the graph intersect, which is at 5 minutes. Therefore, they have filled the same number of barrels in 5 minutes

A: 5 minutes.


It is where the two lines intercept.

Is the simplified form of 2 with a radical of 3 multiplied by 2 with a radical of 6 a rational number?

Answers

Answer:yes

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Samantha and Luis are attempting to determine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade student leaving the library. She samples a total of 40 of the 200 seventh graders. Luis samples 30 of the 200 seventh grade students at random in the school cafeteria. Whose sample is the most random?

Answers

Answer:

A

Step-by-step explanation:

Luis because the sample is taken from the population of all seventh graders.

Answer:

The answer is A your welcome ;)

Step-by-step explanation:

PLEASE DO THIS ASAP! WILL GIVE BRANLIEST, NO FAKE ANSWERS! Read directions on paper. Connect coordinates with ones that match..just read the paper.

Answers

please explain it better than the paper ill help
basically you would just get the smallest number on each column and plot them on the line. You need to connect ordered pairs. Also it would be better if you showed more info

ASAP I only have 3-minute pls answer

Answers

Answer:

457.2  so b

Step-by-step explanation:

Answer:

B, I had the same question before and i think its B

Which equation is a linear function? (Look at the photo I attached for the choices) please help me I am confused!

Answers

The answer is y=x/2 -5

What is the equation of the line through the origin and (2, 5)?

Answers

Answer:

[tex]y=\frac{5}{2}x[/tex]

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex]

The point is up 5 and went 2 to the right. We can use the equation rise over run to solve for the slope.

simplified fraction: 2/5

PLS HELP!!! tysmmmm!!

Answers

The Answer would be D

find -40/-2 pleasseeee

Answers

Answer:

20

Step-by-step explanation:

positive not negative

Which expression can be used to find the surface area of the following square pyramid?

A. 16+20+20+20+20

B. 16+10+10+10+10

C. 16+20

D. 16+10+10+10

Answers

Answer:

a

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

33 units squared is the area of the shape.

Step-by-step explanation:

We know that the the area of the orange (bookmark) shape would be 42 units squared total, since the length is 7 and width is 6 (or vice versa) Now, all we need to find is how many squares inside the rest of the small portion to fill in the shape and subtract that from 42. Adding the squares and half squares in the small portion, I got 9. 42-9 is 33 units squared

The area is 33 units squared

Which two angles are complementary?

Answers

The answer is c because a complementary angle is when two angles are equal to 90 degrees and if u add 19+71 it is 90. C

Solve for w. Show your work.
( 36 ÷ 3 )( 2 x 6 ) = w

Answers

W = 144. Evaluate the equations inside the parentheses. Which is 12 x 12 then evaluate that. Which equals, 144.

Answer: 144

Step-by-step explanation:

IF U HELP ME I WILL GIVE YOU A BRAINLIEST
Amy has to write a paper for school that has more than 3,315 words. She has already written 1,222 words and writes at a rate of 299 words per day. Which of the following inequalities could be used to solve for x, the number of days it will take Amy to finish her paper?

A. 299x > 3,315

B. 299x > 1,222

C. 299x + 1,222 > 3,315

D. 299x - 1,222 > 3,315

Answers

I’m pretty sure it is C
Hope I helped

Answer:

I think its C

Step-by-step explanation:

PLEASE HELP I GIVE 20 POINTS!!!!

Answers

11. Perimeter = All Sides added together.

Remember there are two of each side with the expression.

Expression: 3b + 3b + b+a + b+ a

To simplify collect all like terms (ones with a common letter or are the same)

Simplified expression: 8b + 2a

You got the expression by adding all sides together then simplifying by collecting like terms.

I will do the rest as comments on this post.
8b+2a is all i could get to

Pleas help in this too!!!!!!

Answers

X=64
Opposite angles are congruent

Answer:

x=64

Step-by-step explanation:

opposite angles are congruent

<e=<c

The dimensions of a rectangular piece of paper are 6 inches and 9 inches. Jackson folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches?
A. 3.8 in
B. 10.8 in
C. 6.7 in
D. 1.7 in

Answers

The answer would be B. 10.8

Answer:

c) 6.7 inches

Step-by-step explanation:

Help please!! I has more mathematical junk needing answers, lol.
question in the photo.

Answers

the answer is 5/6
dkfkfididisksifjfjfjfjfjdjdjddjsi
the answer is 5/6 !!!!

The graph below shows the heights and arm spans of several basketball players at a tournament. Height and Arm Span of Students A graph has height (centimeters) on the x-axis and arm span (centimeters) on the y-axis. A trend line has a positive slope. The line goes through points (160, 160) and (170, 170). Based on the graph, which is the best prediction of the arm span of a player that is 202 cm tall? 195 cm 202 cm 210 cm 352 cm

Answers

Answer:

It should be

(160, 160)

(170, 170)

(202, 202)

(195, 195)

(210, 210 )

(352, 352)

Step-by-step explanation:

Answer:

202cm tall, or B on edge

Step-by-step explanation:

LAST ONE PLEASE HELP ME

Answers

Answer:

20

Step-by-step explanation:

*Mark as brainliest pls

Answer this question ASAP

(Please Don’t answer the question if you don’t know it or not sure what the answer is)

Answers

hey! i’m pretty sure the answer is five but maybe double check just incase i’m wrong. :)
I’m pretty sure it’s 5 sorry if I’m wrong.

Please help, I will give brainliest to best answer
Brainliest checklist:
-Must show work
-Must be correct

Answers

Answer:

060.28

Step-by-step explanation:

3 can't go into 1, but it goes into 18 six times with 0 left over. 3 goes into 0 zero times. 3 goes into 5 one time with 2 left over. 3 goes into 26 (because you pull the 6 down) 8 times with 2 left over.

can someone help me with a total budget thing that’s part of a road trip math project? (COMMENT IF YOU CAN PLS HELP ASAP)

Answers

I might be able to, let me see
Where’s the question I could help :)

HELP PLZ!! Will give brailiest!

Answers

Answer:

a- 1/4 x 2/1

b-2/1    divided by 5

Step-by-step explanation:

Answer:

I think B? hope this helps!

Stomata open and close in response to-
A. water being pumped in and out of guard cells.
B. crystal formation in the plant due to excess glucose.
C. lack of available sunlight during the night.
D. stimulation by auxins producing rapid growth

Answers

C. lack of available sunlight during the night
The answer is C hopefully it will help you get a good grade

Kristen is considering having two different companies create t-shirts for her Math Club. Here are the two company chooses:

Awesome T-shirts charges a $80 up-front fee and $2.50 for each t-shirt, t.
Walden's Tee Company charges a $50 up-front fee and $4.00 for each t-shirt, t.

Kristen needs to order 100 t-shirts. Which company should she choose and why?

Answers

Answer:

Awesome T -shirts

Step-by-step explanation:

They cost less by a margin of $120,meanign better deal

9514 1404 393

Answer:

  Awesome T-shirts; the order is for more than 20 shirts

Step-by-step explanation:

The cost of "t" t-shirts at Awesome will be ...

  A = 80 +2.50t

The cost of "t" t-shirts at Walden's will be ...

  W = 50 +4.00t

These costs are equal when ...

  A = W

  80 +2.50t = 50 +4.00t

  30 = 1.50t . . . . . . . . . . . . subtract 50+2.50t

  20 = t . . . . . . . . . . . . divide by 1.50

If the order is for more than 20 t-shirts, the lower per-shirt price at Awesome will mean the total cost is lower at Awesome. Kristen is planning to order 100 t-shirts, so will get a lower price at Awesome.

In 3/5÷3=1/5, the (blank) is 3. what is the blank supposed to be?
a) quotient
b) divider
c) divisor

Answers

Answer:

C) Divisor

Step-by-step explanation:

Dividend/Divisor=Quotient

answer: would be letter C
Other Questions
3x+1 = 27answer choices: a) -1/3b) -6C) -2/3d) -3/2 A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from the top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?Round the answer to the nearest tenth. find an antiderivative F(x) with F'(x) = f(x) = 11+(21x^2)+(21x^6) and F(1)=0 Please help me solve these quadratic equations. Also please show your work simply!! What is the value of v in the equation?V - 7 = 15 + 12A.21B.13C.27D.34 Who tried warning the town about the dangers of the Gestapo 1.Outline the results of the Cathode ray tube? What is the slope of the line of the equation y = x + 4? What are the slope and the y-intercept of the line of best fit on this scatter plot?A. The y-intercept is , and the slope is .B. The y-intercept is , and the slope is .C. The y-intercept is , and the slope is .D. The y-intercept is , and the slope is . The pancreas releases insulin when blood sugar level is Which fractions are equivalent to 40%? Check all that apply. 100 110 0 200 10 10 Derek lives in a place that frequently experiences natural disasters. The city mayor asked Derek to design a government structure that cansustain disasters. With which material should Derek embed the concrete that he will use for building the structures?A woodB. steelC. brickD. StoneE.vinyl Can someone please help me!!!! Will give brainliest!!! What is not found on the inside of the eye? optic nerve, cornea, tear ducts, or iris? Write the sentence as an inequality.Three times a number w is less than 18. what are some environmental effects of water pollution Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $15 per day. If one of her customers spent less than $110, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting? A. $15x - $20 < $110 B. $15x < $130 C. $15x < $110 D. $15x + $20 < $110 Suggest a measure that a government can take to reduce a country's energy use In pure metals, the atoms are arranged in orderly _______ and _______ hi I had no question but I just wanted to say hi. lol xD