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

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.

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

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]

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 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:

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

can you please help !

Answers

The answer is 2 and Brainly requires 20 characters so bsjusgxbdnshxx

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

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]

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(:

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

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]

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

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:

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

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

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.

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.

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?

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

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.

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°

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

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 !

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?

Multiply as a decimal point
0.6 x 0.4 =

Answers

Answer:2.4

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

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

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