prove that the difference between squares of consecutive even numbers is always a multiple of 4

Answers

Answer 1

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:

Answer 2

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)


Related Questions

Can someone help me define the variables to this problem

Answers

Answer:

price of adult ticket=$8

price of child ticket=$14

Step-by-step explanation:

let number of adult tickets=x

child tickets=y

3x+1y=38

3x+2y=52

subtract first from second

y=52-38=14

from first

3x+14=38

3x=38-14=24

x=24/3=8

How many solutions does the equation 5p − 4p − 8 = −2 + 3 have? (5 points) Group of answer choices One Two None Infinitely many

Answers

Answer:

one solution  

Step-by-step explanation:

Given the equation 5p − 4p − 8 = −2 + 3

Find the value of p

5p − 4p − 8 = −2 + 3

p - 8 = 1

Add 8 to both sides

p - 8 + 8 = 1+8

p = 9

Since the only value of p is 9, hence then the equation has just one solution  

Please answer correct its not 9 units

Answers

the answer is 3... the rest of this you can ignore just getting 20 characters

ILL GIVE BRAINLIEST!!

Answers

Answer:

H. 0.6

Step-by-step explanation:

4x + 3y = 36
how do i solve this?
in general form

Answers

4x + 3y - 36 = 0 (this is general form) to solve, try to find x or y first by putting it on one side, then plugging it in and finding the other value.

1.Dylan drew 1 heart, 1 star, and 26 circles. What is the ratio of circles to hearts?

A.1 : 26

B.1 : 1 : 26

C.26 : 1 : 1

D.26 : 1

2.Your school has 90 teachers and 4500 students. What is the ratio of teachers to students?

A.1 : 90

B.1 : 50

C.2 : 180

D.1 : 75​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

1A) No. of heart = 1

No. of stars = 1

No. of Circles = 26

Ratio = 1:26

2A) I guess option B or C....try to use the method of simplifying one

hope it helps you,

Mark me as the brainliest.....

Follow me!

In ADEF, the measure of ZF=90°, EF = 2.3 feet, and FD = 2.9 feet. Find the measure
of ZD to the nearest tenth of a degree.

Answers

Answer:38.4

Step-by-step explanation:

a 10-kg object traveling at 6 m/s collides head on with a 2-kg object at rest. What is the total momentum of the system after the collision?

Answers

Answer:

M1V1i+M2V2i=(M1 + M2)vf

(10)(6)+(2)(0)=(10+2)vf

60=12vf

60÷12 =12vf÷12

5=vf

::Vf=5ms-1 to the right

answer :

glide reflection

translation

reflection

rotation ​

Answers

the answer is reflection

In the figure, a ∥ b. What is the value of x?

Answers

Answer:

20

Step-by-step explanation:

PLZZZZ HELPPP MEEEE

Answers

Answer:

4

Step-by-step explanation:

A square pyramid has 5 sides

so subtracting one side is 4 sides

Also she only has to get 4 no matter what, unless she wants the bottom with shingles too

John invested $2000 for 3 years at 10% per annum. Peter invested $1000 at the same rate. If they both received the same amount of money in interest, for how many years did Peter invest his money?​

Answers

Answer:

6

Step-by-step explanation:

Wholesome Food Company asked all students on the baseball team at Ridgemont High School the question, “Do you like broccoli?” and 15% percent answered “Yes.”
Based on this data, which of the following conclusions are valid?

Answers

Answer:

b

Step-by-step explanation:

Khan Academy

Answer:

B

Step-by-step explanation:

khan

x2 + 13x + 36
x2 – 7x + 10

Answers

Answer:1.1     Factoring  x2 - 13x - 36

Step-by-step explanation:

What is the value of x? Enter your answer in the box. °

Answers

Answer:

111°

Step-by-step explanation:

7 sides

sum of angles= (180×7)-360

1260-360=900

158+126+125+121+139+120+x=900

789+x=900

x=900-789

x=111°

BRAINLIEST AND 100 POINTS. Please help by explaining how you got the answer

Answers

Answer:

it may be A log x ........

Which of the following sets of a side length could be those of triangle lmn

Answers

9m, 12m, 15m, that’s your answer each number is a multiple of one of those numbers

Guys help ! I think my maths off T^T
But anyways Can you use the quadratic formula to solve the equation.
5x²+16x-4=0

Please help me ...qwq

Answers

Answer:

-0.233

Step-by-step explanation:

 x =(16-√336)/10=(8-2√ 21 )/5= -0.233

hope this helps (:

I know this is SUPER late but kinda want to see if your still here .. hope so

so the answer is:

 x = -8/5 + 2/5 [tex]\sqrt{21\\}[/tex]  

or

x = -8/5 + -2/5 [tex]\sqrt{21}[/tex]

Always happy to help love ^u^ take care

The table shows the results of a survey of students at Ousley Jr. High School about their plans for spring break. If there are 650 students at Ousley Jr. High School, predict how many more will stay home rather than go to the beach.
A. 143 students

B. 325 students

C. 195 students

D. 338 students

Answers

The answer is A

Step-by-step explanation:

n+4-9-5n what is the answer

Answers

Answer:

−4n - 5

Step-by-step explanation:

Answer:

-4n-5

Step-by-step explanation:

n+4-9-5n

n-5n-5

-4n-5

Combine the like terms to create an equivalent expression:
-k+3k

Answers

Answer:

=ykvnn

Step-by-step explanation:

Answer: 2k

Step-by-step explanation:

Like terms are terms that have the same variables and powers.

k is the same variable so you would take away k (or 1k we just don’t write 1k in algebra) from 3k=2k

Need help asap will give brainly

Answers

Answer:

d or a

Step-by-step explanation:

I think its either one of those

What are rational numbers? Why is it important to study rational numbers?

Answers

Answer:

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)

PLEASE HELPPP
Find AB

Answers

a=12

explanation:
just usepythagore theorem

What is the probability that a number selected at random from interfere 3 to 30 inclusive is a multiple of 3

Answers

Answer:

5/14 is the probablity

byeeeeeeeeeeee

Find the slope of the line that passes through (3, 11) and (10,8).

Answers

Answer:

-3/7

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

        [tex]=\frac{8-11}{10-3}\\\\=\frac{-3}{7}\\[/tex]

90% of a number is 180 ?

Answers

Answer: 200

Step-by-step explanation:

Complete the statement. Round to the nearest hundredth if necessary.

14 m ≈
ft

Answers

14m = 45.9318 ft
Rounded is 46ft

PLZ PLZ PLZ PLZ HELP​

Answers

It is -1/8
You are welcome

Answer: -1/8 OR -0.125, -2^-3

Step-by-step explanation:

Select the correct answer.
What are the zeros of this quadratic function?

f(x) = (x − 7)(x + 8)

A.
x = 0 and x = 7
B.
x = -7 and x = 8
C.
x = 7 and x = -8
D.
x = 0 and x = -8

Answers

Answer:

b because I am close to being done it's completely correct

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