Solve this question

Answer:

B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation

Step-by-step explanation:

Given

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

Required

Describe the next steps to

First, we open all brackets

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]

At this point, options A and C are incorrect because they didn't present the right result of the expression.

So, we have options B and D to consider

The next step is to subtract 2ab from both sides

[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]

Collect like terms

[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]

[tex]a^2 + b^2 - c^2 = 0[/tex]

Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below

[tex]a^2 + b^2 - c^2 = 0[/tex]

Add [tex]c^2[/tex] to both sides

[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]

[tex]a^2 + b^2 = c^2[/tex]

At this point, only option B completes Kira's proof

Answer:

It’s B

Step-by-step explanation:

I did the test

Answer:

M=2

Step-by-step explanation:

m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6

Answer:

m = 2.

Step-by-step explanation:

-7 + 4m + 10 = 15 - 2m

4m + 2m = 15 + 7 - 10

6m = 12

m = 2.

Answer:

1 cartoon = 1 dance

Step-by-step explanation:

Not sure what the question asks for?

Answer:

SpongeBob

Step-by-step explanation:

Is that what you wanted?

Answer:

128

Step-by-step explanation:

There are 32 50's in 1600.

So 32x4=128

the answer is C. 81.87

Answer: the last one

Step-by-step explanation:

Answer:

Right

Step-by-step explanation:

Answer: the first one is x less than 468 and the second one is  and open circle at 468 and the third one is  go left

Step-by-step explanation:

it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left

The IQR (interquartile range) is mathematically given as

IQR=9

Question Parameters:

Sample data 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9

Sample size13

Generally, the equation for the  IQR (interquartile range)  is mathematically given as

IQR=Q3-Q1

Therefore

IQR=37-28

IQR=9

In conclusion, the IQR (interquartile range) is

IQR=9

Read more about Arithmetic

https://brainly.com/question/22568180

Step-by-step explanation:

First we will calculate the total amount spent on each website so

Website A = 49.95 + 4.39 = 54.34

Website B = 47.68 + 6.95 = 54. 63

So website A is cheaper by €0.29

Answer: m= 2/3

Step-by-step explanation:

4/6 simplify into 2/3

Answer:

C

Step-by-step explanation:

52 weeks of the year * 1.5

Answer:

The answer is C $78.00 because 52 times 1.50 equals 78 so if you couldn't the amount of weeks from january to december 31 it equals 52.

Step-by-step explanation:52 times 1.50 =78

Answer:

i need some poitns plssss

Answer:

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"

Step-by-step explanation:

Answer:

y>7.5

line under inequality sign.

Step-by-step explanation:

Answer:

-812 and 812

Step-by-step explanation:

Answer:

cone

Step-by-step explanation:

Answer: hopefully this is what you need

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality form:

X < -6

Interval Notation:

(-♾, -6)

Answer:

C. cylinder

Step-by-step explanation:

i hope this help

Answer:

Samantha will save 45 dollars because the two sales will combine for  75 percent off the orignial cost.

Step-by-step explanation:

50 + 15 equals 75

75 percent off of 60 equals 15 dollars

60-15 equals 45 dollars so she saved 45 dollars.

Answer:

Samantha will save 45 dollars because the two sales will combine for  75 percent off the orignial cost.

Step-by-step explanation:

50 + 15 equals 75

75 percent off of 60 equals 15 dollars

60-15 equals 45 dollars so she saved 45 dollars.

Step-by-step explanation:

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]

Answer:

y=45

x=90

Step-by-step explanation:

x is a right angle, y is vertical from 45 degrees making it congruent to it.

Answer:

C: x=90 y=45

Step-by-step explanation:

The place where x is is obviously a right angle therefore, it is 90. Then here is a diagonal line cutting through the 90 degrees in half. 90/2=45.

Answer:

C) 14

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 6 to both sides:

3x - 6 (+6) = 36 (+6)

3x = 36 + 6

3x = 42

Next, divide 3 from both sides:

(3x)/3 = (42)/3

x = 42/3

x = 14

c) 14 is your answer.

~

Answer: 5x^3 + x-6

Step-by-step explanation:

Answer:  72

Step-by-step explanation:    so you do a line = line method the lines should look like they are fractions.  

you do it for the both numbers the percent is always out of 100.

it should look like this

40%            ?

--------- = -----------    

100%       180

then you cross multiply 40 and 180 and than divide it by 100.   your answer should be 72.    you later replace the ? with 72

you know this because It is smaller than 180 and its bigger than the number 40.

The number pages left to read is 12 pages.

Given that, George still has 40 percent of his book to read.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of pages be x.

Now, x-40% of x=180

⇒ x-0.4x=180

⇒ 0.6x=180

⇒ x=180/0.6

⇒ x=300

So, remaining pages = 300-180=120

Therefore, the number pages left to read is 12 pages.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer:

Stephanie saved

Step-by-step explanation:

x+4x=15600

5x=15600

divide by 5 on both sides

you get 3120

since stephanie got 4 times more, you multiply 3120*4 and get 12480

therefore, Alejandro saved 3120

: )

Answer:

true

Step-by-step explanation:

x^3 y when x = -2 and y = 3

(-2)^3  * 3

-8 *3

-24

This is true

Answer:

9:13

Step-by-step explanation:

Answer:

[tex]6m^{2}[/tex]

Step-by-step explanation:

well we are looking for a face of the rectangular prism.

the front face of the rectangular prism is length times height

which is 3 times 2 = [tex]6^{2}[/tex]

if we did any other face, like the side which is width times height ( 8 meters) it is not one of the answers.

so the only face that can be answers is length times height.

therefore the answer is

6m^2

i rly hope this helps!! :)

Answer:

the answer is B .

Step-by-step explanation: