All categories

3 years ago

Prove that the sum of two odd numbers is an even number

1 answer:

5 0

Let a and b be odd number.
Because they are odd, by definition:
a = 2n + 1
b = 2m + 1
If we add them up:
a + b = 2n + 1 + 2m + 1
= 2n + 2m + 2
= 2(n + m + 2)
= 2k where k = n + m + 2

therefore a + b is always even.

You might be interested in

Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths. 4 m, 8 m, 9 m *

Illusion [34]

Answer:

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

a + b > c; a + c > b; b + c > a

Given a triangle with side length 4 m, 8 m, 9 m:

4m + 8m = 12m > 9m

4m + 9m = 13m > 8m

8m + 9m = 17m > 4m

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.

7 0

3 years ago

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac

Anestetic [448]

Answer:

Tacoma's population in 2014 will be 587,439 people

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by the formula

$y=a(1+r)^x$

where

y is Tacoma's population in thousand

x is the number of years since 2000

r is the rate of change

a is the initial value

we have

$a=200\\r=8\%=8/100=0.08$

substitute

$y=200(1+0.08)^x$

$y=200(1.08)^x$

what will Tacoma's population be in 2014?

Find the value of x

$x=2014-2000=14\ years$

substitute the value of x

$y=200(1.08)^{14}=587.439\ thousand$

therefore

Tacoma's population in 2014 will be 587,439 people

5 0

3 years ago

(SPANISH) NEED HELP 100 POINTS I WILL MARK BRAINLIEST AND SAY THANK YOU SERIOUS ANSWERS ONLY

shepuryov [24]

El cambio climático ha empeorado en los últimos años, la razón principal es la contaminación excesiva tanto del aire, del agua, del suelo y muchas otras cosas.
Todos debemos tomar conciencia del daño que estamos ocasionando con la contaminación excesiva. El cambio climático nos ha traído grandes problemas por no actuar con responsabilidad en el cuidado del medio ambiente. Si no tomamos conciencia de lo que estamos perjudicando, en un tiempo más adelante habrá consecuencias negativas peores de las que ya hay.

El cambio climático no se da de forma negativa por sí solo, somos nosotros los que estamos perjudicándolo con la contaminación.
<span>
deberiamos de Cuidar la planeta para que no haya tanto exceso de contaminación y así evitar cambios drásticos en el clima. </span>

3 0

3 years ago

Read 2 more answers

Mani,James, and Isidro shared 1/2 of a pie. Which fraction of the whole pie did each of them receive?

bija089 [108]

Answer:

1/6

Step-by-step explanation:

$\frac{1}{2}$ /3= 1/6

3 0

3 years ago

Correct answers only please! If you don't know the answer, then please don't guess or say what you think it is.

hammer [34]

Answer:

The option "C" is correct

#in my opinion#

Step-by-step explanation:

The size of a screen is generally measured diagonally.

Thus to find the diagonal length,

we take help from Pythagoras theorem

$i.e. \\ {h}^{2} = {b}^{2} + {p}^{2}$

where h (hypotenuse) is the diagonal length, b (base) is the length of horizontal side, and p (perpendicular) is the length of the vertical side of the TV,

THUS the diagonal length or hypotenuse

$h = \sqrt{ {b}^{2} + {p}^{2} } \\ \: = \sqrt{1024 + 324} \\ \: = \sqrt{1348} \\ \: = 36.7 \: (= aprox \: 37)$

3 0

3 years ago