Prove: The square of an even number is even

Answers

Answer 1
Squares of even numbers are even, and are divisible by 4, since (2n)2 = 4n2. Squares of odd numbers are odd, and are congruent to 1 modulo 8, since (2n + 1)2 = 4n(n + 1) + 1, and n(n + 1) is always even.

Related Questions

Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Assuming both Roberto and Eileen bike at a constant speed, who was biking faster and by how much? Select from the drop down menus to correctly answer the question. Choose... bikes faster than Choose... by Choose... mi/h.

Answers

Answer:

Roberto bikes faster than Eileen by 1.3 mi/h

Step-by-step explanation:

Roberto bikes at 49.4/5.2=9.5 mi/h

Eileen bikes at 20.5/2.5=8.2 mi/h

9.5-8.2=1.3

So Roberto bikes faster than Eileen by 1.3 mi/h

If 20% of a number is 28 and 25% of the same number is 35, find 45% of that number.

Answers

answer: 63
explanation: 20% + 25% = 45% and 20%= 28
25%= 35
thus, 28 + 35 = 45% = 63

congruent or simular

Answers

First is similar

∆XYZ and ∆MNO are congruent

Polygons are similar

The square one is congruent

First one on right side is similar

Rugs are similar

rectangles are similar

Find the distance between two points in the simplest radical form

Answers

The 2 points marked on the graph are :-

(2, 3) & (-7, -4)

Here,

=》x₁ = 2

=》y₁ = 3

=》x₂ = -7

=》y₂ = -4

Using distance formula....

√(x₂ - x₁)² + (y₂ - y₁)²

= √(-7 - 2)² + (-4 - 3)²

= √(-9)² + (-7)²

= √81 + 49

= √130 (in radical form)

= 11.4 (approx......in standard form)

♧ The distance between the 2 points is √130 units.

______

Hope it helps ⚜

ple help me quick thank you:)​

Answers

Answer:

z> 5/4

To graph, use the open dotted line and put it at point 5/4 aka 1.25 going towards the right because it is greater than.

Step-by-step explanation:

Isolate your variable (z) by multiplying both sides of the equation by 5/3.

z> 5/4

Mrs. Carol body toaster oven for 18 nine dollars sales tax is 7.75% what was the total including tax that she spent for the toaster oven

Answers

18 nine dollars? what do you mean

A photograph measures 15 cm by 20 cm. It is made smaller in the ratio 4:5 What are the dimensions of the new photograph?

HELP PLSS !!!!!

Answers

Answer:

12cm by 15cm

8cm by 10cm

4cm by 5cm

Step-by-step explanation:

it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer

Answer:

15 cm is the new dimensions of new photograph

Step-by-step explanation:

initial dimension of shorter side = 8 cm

initial dimension of longer side = 10 cm

final dimension ofshorter side = 12 cm

finial dimension of longer side = x cm

The enlargement always ensure the aspect ratio

aspect ratio = lonter side/shorter side

equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]

Solving for x,

10 × 12 = 8 × x

[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]

        /\

        that says 10 x 12

longer side is 15cm

(Hope this helps can I pls have brainlist (crown)☺️)

Not sure how to do this.

Answers

Answer:

5ft into 7ft

Step-by-step explanation:

5ft to 7ft I hope I’m right

Sum of three consecutive odd integers is 57. What are the three consecutive even numbers? Write an equation.

Answers

Answer:

17, 19 and 21

Step-by-step explanation:

17 + 19 + 21 = 57

Calculate 1.015 to the power of 72

Answers

Answer:

2.92 rounded

Step-by-step explanation:

:))

2.92 is the answer if you round it, if you need the answer not rounded let me know.

Combining like terms. Solve for b.

15b + 10b = 50​

Answers

Answer:

b=2

Step-by-step explanation:

15b+10b=50

25b=50

b=2

Answer:

B is 2 because 10x2=20 and 15x2=30

add those 2 up and get 50

Step-by-step explanation:

Give brainly pls(the crown)

you throw a football straight up into the air with a speed of 12.2m/s. How high those the ball go?

Answers

Answer:

7.6m

hope this helps :)

() What is 4 divided by 9?

Answers

4/9 = 0.444444444444444

Answer:

9

Step-by-step explanation:

A proportional relationship is shown in the table below

X 0 .3 .6 .9 1.2
Y 0 1 2 3 4

Answers

3.33 or 1/.3 is the answer

Write the number below as a fraction in its simplest form
0.41 recurring

Answers

Answer:

41/100

Step-by-step explanation:

Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100

A line passes through the point (-2,6) and has a slope of 5/2 write an equation in slope-intercept form for this line

Answers

Answer:

y=5/2x+11

Step-by-step explanation:

write part of equation and apply

6=5/2(-2)+n

n=11

y=5/2x+11

The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?

Answers

Answer:

1,61 %

Step-by-step explanation:

Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100

7/435*100= 1,61 %

Q

1). 20² + 20^2

nt : I from is Indonesian ​

Answers

Answer:

[tex]\red{\rule{4pt}{700000pt}}[/tex]

Step-by-step explanation:

hi

Can someone help with question #4 please

Answers

Answer:

4,0 is the right ok I am a professor

!PLEASE HELP!

3/2 (7/3x+1) = 3/2

Show work. (simple if possible)

Giving Brainliest.

Answers

Answer:

x = 0

Step-by-step explanation:

[tex]\frac{3}{2}(\frac{7}{3}x + 1) = \frac{3}{2}[/tex]

To start, let's multiply each side by the reciprocal of [tex]\frac{3}{2}[/tex].  Multiplying a fraction by its reciprocal gives us 1, which will make the left side of our equation simpler.

[tex]\frac{2}3} * \frac{3}{2}(\frac{7}{3}x + 1) = \frac{2}3} * \frac{3}{2}[/tex]

[tex]\frac{2}{3} * \frac{3}{2} = 1[/tex], so we have:

[tex]1(\frac{7}{3}x + 1) = 1[/tex] or [tex]\frac{7}{3}x + 1= 1[/tex]

Next, we can subtract 1 from both sides to further simplify the left side:

[tex]\frac{7}{3}x + 1 - 1= 1 - 1\\\frac{7}{3}x=0[/tex]

Finally, we can multiply by the reciprocal of [tex]\frac{7}{3}[/tex] on both sides in order to isolate x on the left.  Anything multiplied by 0 = 0, so now we have:

x = 0

7/2x + 3/2 = 3/2 <=> 7/2x = 0 <=> x=0

A 6 pound bag of grass seed covers 7,000 square feet. How many pounds would be needed to cover 23,000 square feet?

Write answer as an integer or a reduced fraction.

Answers

Answer:

Step-by-step explanation:

You can setup a proportion as follows:

 

4 lb = 9000 ft2

x lb = 25000 ft2

 

Solve for x = 25000 ft2 x 4 lb / 9000 ft2 = 11.11 lb ~ 11 lb rounded to a whole number

Evaluate. 2 (14–32 +1) 1:3.-​

Answers

Answer:

432

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Look at picture for question.

Answers

Answer:

A) - 3/7

B) -1/5

C) - 0.4

Step-by-step explanation:

HOPE IT CAN HELP YOU LOVELOTS

ratio 12:30 in the form 1:n

Answers

Answer:
1:2.5

Step by step explanation:
12:30
÷ by 12 each side
= 1:2.5

Hope this helps!

During a snowstorm, Noah tracked the amount of snow on the ground. When the
storm began, there was 1 inch of snow on the ground. For the first 4 hours of the
storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 2
hours and then started again at a constant rate of 2 inches per hour for the next 6
hours. Make a graph showing the inches of snow on the ground over time using the data that Noah created
data that Noah collected.
Click twice to plot a segment.
Click a segment to delete it.
25
24
23
22
ow on the Ground (Inches)
20
19
18
17
16
15
14
13
12
9

Answers

Answer:

ss the question

Step-by-step explanation:

Write the equation of the line passing through points (-1,1) and (1,1).

Answers

Answer: x+1

Step-by-step explanation:

Answer:

Try x+1

Step-by-step explanation:

Hope it helps

The soup pot is 8 inches tall with a radius of 3 inches.

What is the volume of the soup pot?

Answers

Answer:The volume of the soup pot is of 226.19 cubic inches.

Step-by-step explanation:

Format of a soup pot:

A soup pot has a cylindrical format.

Cylinder volume:

The volume of a cylinder, with radius r and height g is given by:

The soup pot is 8 inches tall with a radius of 3 inches.

This means that

What is the volume of the soup pot?

The volume of the soup pot is of 226.19 cubic inches.

Simplify the expression (ab^2)*(-b^4a^3)^2​

Answers

if any doubt leave a comment below

If ur question has two “carries” in one as I see here the answer is: ab^8a+2

Bryce has $16 more than Corey. Both have a combined total of $50. How much money does Bryce have.

Answers

Answer:

$33

Step-by-step explanation:

Let the amount of money Corey has be $x.

Amount of money Bryce have= $(x +16)

Total amount= $50

$x +$(x +16)= $50

2x +16= 50

2x= 50 -16

2x= 34

Divide both sides by 2:

x= 34 ÷2

x= 17

Amount of money Bryce have

= $(17 +16)

= $33

In the equation L = F + B, if F is equal to 6.50 and B is equal to -6.25, then L is equal to

Answers

Answer:

L is equal to 0.25.

Do you want me to put an explanation?

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