explain why n(n-1) must be an even number​

Answers

Answer 1

n & n - 1 are two consecutive numbers which means one of is surely even and the other one is odd.

_______________________________

Suppose that n is an even number;

So we can right n like this :

n = 2t

Thus :

n - 1 = 2t - 1

_______________________________

n( n - 1 ) = 2t( 2t - 1 ) = 2 ( 2t^2 - t )

= 2 ( q ) = 2q

The number obtained is a multiple of 2, so it is definitely even because all numbers are even multiples of 2.


Related Questions

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
х
6

Answers

Step-by-step explanation:

it's the square equal to the equivalent equation to equal 5 673y

3. Choose a word from below to match the definition. Inability to pay back money owed is called
Budget
O Expense
O Debt
O Income
O Bankruptcy

Answers

Its Debt :D, good luck !

Rajiv brought 1325 packs of red balls 1238 packs of yellow balls and 1334 packs of green balls there were 6 balls in each pack how many balls did rajiv buy .Change the numbers to very simple numbers in UPSL method

Answers

Answer:

Rajiv bought 23,382 balls.

Step-by-step explanation:

Given that Rajiv bought 1325 packs of red balls, 1238 packs of yellow balls and 1334 packs of green balls, and there were 6 balls in each pack, to determine how many balls did Rajiv buy the following calculation must be performed:

(1,325 + 1,238 + 1,334) x 6 = X

3.897 x 6 = X

23.382 = X

Therefore, Rajiv bought 23,382 balls.

PLAEASE Help If you answer this right I will mark you brainlist

Answers

Answer:

Hello! answer: 65

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees therefore... 180 - 115 = 65 therefore x = 65 hope that helps!

Answer:

x=65°

Step-by-step explanation:

180°= x + 115°

x = 180 - 115

x = 65°

Solve for x. (-6/5) x - 4 = -46
A: 23
B: 35
C: -23
D: -35​

Answers

35 should be your answer

Answer:

you have flvs? am if u do is it geometry?

At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.

Answers

The value of the car at the start of 2017 will be £ 4116

A sphere has a volume of 972π cm3. What is its radius in centimeters

Answers

Answer:

radius = 6.15

Step-by-step explanation:

cuz ik can u mark me brainliest?

A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. What is the probability you draw and eat an apple then draw an orange

Answers

Answer:

probability of choosing apple first = 8/14

probability of choosing orange second = 6/13

probability of choosing apple and orange = 8/14 x 6/13 = 24/91

Step-by-step explanation:

The sides of a triangle are 2x+4, 5x+2, and 4x-3. What is the perimeter if x=2

Answers

Answer:

25

Step-by-step explanation:

The three sides of a triangle are 2x+4, 5x+2, and 4x-3.

The sum is the perimeter

P = 2x+4+ 5x+2+ 4x-3

Combine like terms

P = 11x +3

Let x =2

P = 11*2 +3

P = 22+3

P =25

Answer:

25

Step-by-step explanation:

Side 1: 2x+4         Side 2: 5x+2    Side 3: 4x-3

Substitute-

2(2)+4         5(2)+2        4(2)-3

Multiply-

4+4          10+2           8-3

Combine Terms-

16   +         12     +        5

=25

Find the length of the missing leg.

Answers

Answer:

Step-by-step explanation:

using formula

a^2+b^2=c^2

x^2+4^2=8^2

x^2+16=64

x^2=64-16

x=[tex]\sqrt{48}[/tex] cm

Answer:

x = [tex]\sqrt{48}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = [tex]\sqrt{48}[/tex]

KInda need to hurry first answer gets brainlist

Answers

Answer: d

Step-by-step explanation:

Answer:

I think the answer to your question is 3x-5y^2 i am not sure.

Step-by-step explanation:

I hope this helps, have a nice day

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

CCCCCCC

the best answer

Answer: the second one well because... i dont know how to explain it

How do I find the volume?

Answers

Answer:

425 ft³

Step-by-step explanation

Find the volume of the entire figure, if the part wasn't cut out

It would be 11 x 8 x 5 = 440

Now do 5 x 1 x 3 = 15

440 - 15 = 425

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

using the 45o −45o −90o Triangle theorem.

Solve this triangle.​

Answers

It’s going to be 90ox cause of how mush sides there is and it’s a rectangle triangle

What is another way to write this??

Answers

Answer:

b is the answer

....................

Answer:

B.

Step-by-step explanation:

The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4

(trigonometry) solve for x

Answers

Answer:

x= about 36.9

Step-by-step explanation:

We have 2 known factors, the degree of 31 and 19 for a side.

19 and x are opposite and hypotenuse of the angle of 31.

sin 31 = 19/x

We isolate and do

19/sin 31

I don't understand how to prove it's tangent. Help quickly please.

Answers

Step-by-step explanation:

by using pythagorean theorem:

XW²+XY²=

(2×6.4)² + 9.6² =

12.8²+9.6²=

163.84 + 92.16= 256

WY²= 16²= 256

so, XW²+XY²=WY²

=> the WXY is a right triangle, and X is a right angle.

so XY is perpendicular to XW as the diameter of circle Z.

and XY is tangent to circle Z

Which of the following is most likely the next step in the series?
Look at the photo

Answers

It looks like C since it was the start on the other side.

Find y.

Write your answer in simplest radical form.

Answers

Answer:

y = 6

Step-by-step explanation:

in a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] multiplied by the side across from the 45° angle

Please help me I really need this

Answers

Answer:

y-intercept = 2 so it’s the first answer option

Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. FFF represents the fee (in dollars) for climbing ddd meters. F=110+0.12dF=110+0.12dF, equals, 110, plus, 0, point, 12, d What is the increase in price for every 100100100 meters climbed?

Answers

Answer:

122fee/meter

Step-by-step explanation:

Given the expression for the initial fee plus a constant fee per meter expressed as;

F = 110 + 0.12d

Is d = 100m

Substiutte into the expression and get F

F = 110 + 0.12(100)

F = 110 + 12

F = 122

Hence the required increase in price is 122fee/meter

Answer:

110

Step-by-step explanation:

Options
26%
40%
90%
50%

Answers

Answer:

not so sure but i guess its 50%... i am so sorry if it is wrong..if it is wrong dont forget to tell me the right answer(:

what is 2/3 - 1/3 I appreciate all answers!! (btw i dont wanna do all the math right now so i know how to do it i am just not in the mood of doing it rn.)

Answers

Answer:

1/3

Step-by-step explanation:

2/3-1/3=1/3

#Carry on Learning

[tex]0.333[/tex] ✅

Step-by-step explanation:

[tex] \frac{2}{3} - \frac{1}{3} \\ = \frac{2 - 1}{3} \\ = \frac{1}{3} \\ = 0.333[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning}}{\orange{.}}}}}[/tex]

can you please help !

Answers

The answer is 2 and Brainly requires 20 characters so bsjusgxbdnshxx

Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′? (5 points) Group of answer choices
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).

Answers

Answer:

I believe it is A I may be wrong

It is similar to Triangle ABC and has coordinate A'(8, -12), B'(4, -16), and C' (-20, 8).

Since its getting dilated by 2 it will be getting bigger

CD is the Diameter. The measure of Arc CD is 11x Find the length of the radius in the circle.

Answers

Answer:

11

Step-by-step explanation:

Using S = rA, where S is arc length, r is radius and A is angle(in radians).

Comparing: S = 11π, A = 180° = π

=> 11π = rπ

=> 11 = r

Required radius is 11 unit

Method 2:

This is a semi circle, circumference of semi circle is πr, so

πr = 11π

r = 11

Multiply as a decimal point
0.6 x 0.4 =

Answers

Answer:2.4

Step-by-step explanation:

Please help me. Either answer the question or tell me in which quadrant do I need to start graphing, please.

Answers

Answer:

The rule for a reflection over the x-axis is (x,y)→(x,−y).

Step-by-step explanation:

Take the coordinates of each letter. For example J = (1,-1). Transform it based on the rule above. (1,-1) -> (1,1). Do this for each of the letters. If you want me to check over your answers once you're done, I can do that in the comment section below.

you roll a six sided dice 60 times the number for which the experimental probability of rolling the number is the same as the theoretical probability is

Answers

Answer:

The answer is "12 times, a die was rolled. Identify the complete possibilities to roll exactly 6".

Step-by-step explanation:

Using formula:

[tex]P(X=K)=\binom{N}{K} P^{K} a^{N-K}[/tex]

So the value is [tex]P(X=6)[/tex]

PLEASE PLEASE HELP ME ASAP

Answers

Answer:

378

Step-by-step explanation:

540 of 70%. So you will write this as 70 / 100 x 540 = 378. I hope this helped you.! <3

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