Prove that (x+y)(x-y)+(y+z)(y-z)+(z+x)(z-x)=0

Answers

Answer 1

Answer:

x=0 x=y=z. with these presumed variable amounts, one can conclude that the equation you asked is equivalent to 0

Answer 2

Answer:

Step-by-step explanation:

(x+y)(x-y)+(y+z)(y-z)+(z+x)(z-x)

=x²-y²+y²-z²+z²-x²

=0


Related Questions

Math assignment mfmfnnfmdmdmd

Answers

The lateral surface area of the triangular prism is

Explanation:

The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.

It is given that the height of the prism is 16.5 meters.

To determine the lateral surface area of the prism, let us use the formula

LSA =  (a + b + c)h

where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.

Here: a = 5, b = 10,c = 8 and: h = 16.5

Substituting these values in the formula, we have,

LSA = (5 + 10 + 8) 16.5

Simplifying, we get,

LSA = (23) 16.5

Multiplying, we get,

LSA = 379.5

Thus, the lateral surface area of the triangular prism is,

379.5sq. units

100 points!+ brainlist = moving up!= friending u=awesomeness

Evaluate StartFraction 8 (6 + 5) over 2 squared EndFraction + 6(2).
22
34
56
112

Answers

Answer:

56

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Start by adding the number in the parenthesis: This gives us (8(11)/2^2) + 6(2)

Square the bottom: (8(11)/4) + 6(2)

Multiply the top of the fraction: (88/4) +6(2)

Divide 88 by 4: 22 + 6(2)

Multiply 6 and 2: 22 + 12

Add 22 and 12: 22 + 12 = 34

Answer: 34

Would someone PLEASE help with this and explain how you got the answer I WILL MARK BRAINLIEST

Answers

Answer:2 48,39=87

Step-by-step explanation:

Answer:

DV

DE

VE

Step-by-step explanation:

Determine whether the statement is true or false. Explain your reasoning. "Every relation is a function."

Answers

Answer:
False


Explanation:

All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output. Here are mappings of functions. The domain is the input or the x-value, and the range is the output, or the y-value. Hope this helps you:)

2. Find 110°
B
С.
95°
Pas
100 A
100
E

Answers

Answer:

55°

Step-by-step explanation:

By angle sum property of a quadrilateral :

[tex]m\angle BED = 360\degree - (110\degree + 95\degree + 100\degree) \\\\

m\angle BED = 360\degree - 305\degree \\\\

\huge \purple{m\angle BED = 55\degree}\\\\[/tex]

please help!! I'm very confused

Answers

Answer:

2(8)+7

Step-by-step explanation:

You fill in the spots. If b = 2 then put 2 in the equation.

Answer:

23

Step-by-step explanation:

b multiplyed by c equals 16 + 7 giving you 23

5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

93.96

Step-by-step explanation:

11.54 (half dollar mass) x 4 half dollars = 45.36

8.1 (dollar coin mass) x 6 dollar coins = 48.6

 1

 45.36

+48.6

 93.96

Answer: The total mass of the coins in Sari's bag is 93.96 grams.

Step-by-step explanation: The half dollar mass is 11.54 grams × 4 half dollars= 45.36 grams and the dollar coin mass is 8.1 grams × 6 dollar coins=48.6 grams.

So we add half dollar and dollar coin masses: 45.36+48.6=93.96 grams, your total should be 93.96 grams, I hope your answer is very helpful, please mark me as brainliest, and have a happy holidays!!!!!!!!! :D

Find the slope of the line.

Please help

Answers

Answer:

0

Step-by-step explanation:

The slope of a line that is horizontal is always 0.

Solve the inequality.
17 + 20
2012 > 3(1 + 17)

Answers

Answer:

202029>54

True

Step-by-step explanation:

Sean drank a slushy as fast as he could.
The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed.
How fast did Sean drink the slushy?
A. 10ml per second
B. 1 ml per second
C. 0.8 ml per second
D. 8 ml per second

Answers

d. 8 ml per second is the answer

Sean drank slushy  8 ml per second.

The correct answer is an option (D)

What is the slope of the line?

"The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"

For given question,

From the graph, we can observe the line is passing through points         (0, 600) and (75, 0)

Let [tex](x_1,y_1)=(600,0),(x_2,y_2)=(75,0)[/tex]

The slope of the line would be,

[tex]\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow m=\frac{0-600}{75-0}\\\\\Rightarrow m =\frac{-600}{75}\\\\ \Rightarrow m = -8[/tex]

This means, Sean drank slushy  8 ml per second.

The correct answer is an option (D)

Learn more about the slope of the line here:

https://brainly.com/question/14511992

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Write a rational function with an x-intercept at (-9,0), a vertical asymptote at x=3, and a hole located at (1,-5). Then, identify the horizontal asymptote.

Answers

Answer:

The rational function is [tex]f(x) = \dfrac{x^2 + 8\cdot x - 9}{x^2 - 4 \cdot x + 3}[/tex]

The horizontal asymptote occur at y = 1

Step-by-step explanation:

Given that the function has an x-intercept at (-9, 0), we have;

(x + 9) is a factor of the function

Also, given that the function has a vertical asymptote at x = 3, we have that a factor of the denominator of the function is (x - 3)

With a hole at (1, -5), we have, (x - 1) in both the numerator and the denominator and when x = 1, f(x) = -5

The general form of the function can be presented as follows;

f(x) = ((x + 9)·(x - 1))/((x - 3)(x - 1)) = (x² + 8·x - 9)/(x² - 4·x + 3)

Given that the power of the numerator and the denominator are equal, the horizontal asymptote occur at ratio of the leading coefficient of the numerator and the denominator which from the above equation is 1/1 = 1

The horizontal asymptote occur at y = 1

Please find attached the graph of the function created with Microsoft Excel

Which is the graph of linear inequality 6x + 2y > –10?

On a coordinate plane, a dashed straight line with negative slope goes through (negative 2, 0) and (0, negative 6). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with negative slope goes through (0, 6) and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with positive slope goes through (0, negative 6) and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line with positive slope goes through (negative 2, 0) and (0, 4). Everything to the right of the line is shaded. Please hurry, I'm being timed

Answers

Answer: c i think

Step-by-step explanation: c

Answer: Graph C

Explaination: took the quiz

HELP MEEE!!!!

1) 18=2/5f

2) 27=z/0.3

/ are fraction bars i don’t know what to make fraction bars

Answers

Answer:

1. f = 45

2. z = 8.1

Step-by-step explanation:

2/5(45)=18

8.1/0.3= 27

click and drag like terms onto each other to simplify fully
7-1-6+4x

Answers

7-1-6+4x

7-1=6

6-6=0

0+4x

=4x

Please help me with this!​

Answers

Answer:

B. 2

Step-by-step explanation:

Answer:

I think the ans is C .............m

Y^2 -40y +c find the value of c that completes the square

Answers

Answer:

[tex]c = 400[/tex]

Step-by-step explanation:

[tex]{y}^{2} - 40y + 400 = {(y - 20)}^{2} [/tex]

C=400 is you’re answer

What is the value of 0.6 + 0.3? Write your answer as a fraction in lowest terms. 0.6 is repeated.

Answers

Answer:

9/10 0.9.............

Answer:

1

Step-by-step explanation:

0.666...+0.3=0.999...

1

WILL GIVE BRAINLIEST AND 10 POINTS
What are the relationship between the blood type alles???

Answers

Answer:

Blood groups are inherited from both parents. ... Individuals with IAIA or IAi have type A blood, and individuals with IBIB or IBi have type B. IAIB people have both phenotypes, because A and B express a special dominance relationship: codominance, which means that type A and B parents can have an AB child.

Can someone check if I did this right

Answers

yea this looks correct :)

Whats the value of x? 3x - 5(x - 5) = -7 + 2x + 12

Answers

Answer:

x = 5

Step-by-step explanation:

Given

3x - 5(x - 5) = - 7 + 2x + 12 ← distribute and simplify left side

3x - 5x + 25 = 2x + 5

- 2x + 25 = 2x + 5 ( subtract 2x from both sides )

- 4x + 25 = 5 ( subtract 25 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

What is the solution to the equation 2x+8 = 28?
x=6
x=0
x= 10
x=8​

Answers

Answer:

x=10

you'll substrate 8 from each side then divide by 2

Callie pays for a cat toy with a $10 bill and receives $2.55 in change. The equation 10 - c = 2.55 gives the cost in dollars for the cat toy. Determine whether c=6.45, c=7.45 or c=8.45 is a solution of the equation, and tell what the solution means. The

Answers

Answer:

c = 7.45

Step-by-step explanation:

its easy and im smart that's why i got it

Which is the graph of y-3=-2/3(x+6)

Answers

Answer: it's the first option.

Step-by-step explanation: i just graphed it out, and it showed as the y-intercept was -1.5, and the x-intercept was -1.

Answer: A

Step-by-step explanation:

took the test

A book store sells 10 cookbooks, 18 novels, and 25 children's books on
Saturday. The store sells 6 cookbooks, 12 novels, and 15 children's books on
Sunday. Which ratio is the smallest?
A. Number of novels to children's books sold on Sunday
B. Number of cookbooks to novels sold on Saturday
C. Number of novels to children's books sold on Saturday
D. Number of cookbooks to novels sold on Sunday

Answers

Answer:

D)

Step-by-step explanation:

A) Ratio of novels : children's books Sunday -> 12:15 or 4:5

B) Ratio of cookbooks : novels on Saturday ->10:18 or 5:9

C) Ratio of novels : children's books Saturday -> 18:25

D) Ratio of  cookbooks : novels Sunday -> 6:12 or 1:2

Ratios from options A) B) and C) are all larger than 1:2 (1/2 or 0.5)

Find the distance between the 2 points shown on the number line.
Р
Q
-10
-5
0
5
10
12
13
14
15

Answers

Answer:

It's 12 please give brainliest

Step-by-step explanation:

-6 and 6 make it 12

Answer:

its B. 13

Step-by-step explanation:

True or False:
The geometric meaning of the word normal is perpendicular.

Answers

Answer:

A normal is an object such as a line or vector that is perpendicular to a given object. ... If normal is 90 degree to the surface, that means normal is used in 3D. Perpendicular in that case is more in 2D referring two same entities (line-line) with 90 degree angle between them.

False No it’s not perpendicular is two lines that meet at a right angle

Puzzle 3 - Perfect Squares
Directions: Using the digits 1 - 9 at most one time each, fill in the boxes to make each expression evaluate as a perfect square number. Example: 16 4 * 4 also equals 8 * 2.


Please help

Answers

1st box: 4
2nd box: 7 and 2
3rd box: 4
4th box: 3 and 9
5th: 3
Hope this helps!

Solve the system by elimination
2x – y=1
x + 3y – 4= 0

Answers

Did it step by step , hope it helps !

The value of x and y  for the given equation by elimination method are 1 and 1 respectively.

Elimination method for solving the system of equations;

The elimination method is the process of eliminating on of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the given question

We have two equations

[tex]2x -y =1...(1)[/tex]

[tex]x+3y-4=0...(2)[/tex]

Multiply equation (1) both the sides by 3

[tex]6x - 3y =3...(3)[/tex]

Adding equation (2) and (3)

[tex]6x+-3y+x+3y -4 =3\\7x =7\\x =1[/tex]

Substitute

x =1,  in either 2x -y =1 or x + 3y -4 =0

2(1) - y =1

⇒ -y = 1 -2

⇒ -y = -1

⇒ y =1

Hence, the value of x  and y is 1 and 1 respectively.

Learn more about elimination method here:

https://brainly.com/question/12090959

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Pleass HELP I GIVE BRILLIANT ANSWER

Answers

Answer:

The Best answer will be D having to add 7 then subtracting 8, becoming -1,  then dividing to become D.

Step-by-step explanation:

i i iii ii need help

Answers

Answer:

C or the bottom left one

Step-by-step explanation:

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