Two expressions are shown below. Which of the following is the DIFFERENCE obtained when subtracting expression II from expression I?
I. y2−4xz+z2

II. x2+xz+2y2

A. 3y2−3xz+z2−x2

B. 3y2−3xz+z2+x2

C. −y2−5xz+z2−x2

D. y2+5xz−z2+x2

Answers

Answer 1

Answer:C.

−y2−5xz+z2−x2

Step-by-step explanation:

Took the test got it right

Answer 2

The solution is Option C = ( -y² - 5xz + z² - x² )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Expression 1 = y² - 4xz + z²

Expression 2 = x² + xz + 2y²

Let Expression 1 - Expression 2 = A

To find Expression 1 - Expression 2 = A

A = y² - 4xz + z² - ( x² + xz + 2y² )

By grouping the like terms , we get

A = ( y² - 2y² ) - ( 4xz + xz ) + z² - x²

Therefore,

A= - y² - 5xz + z² - x²

Hence , the solution is ( -y² - 5xz + z² - x² )

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Related Questions

A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?

Answers

Answer:

The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3

Step-by-step explanation:

The given information are;

The vertices of ΔPQR are;

P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)

Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For side PQ, we have;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)

Given that the points have equal y-values, the length is the difference of their x-values as follows;

[tex]l_{PQ}[/tex] = 6 - 3 = 3

Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;

[tex]l_{QR}[/tex] = -3 - (-6) = 3

Length PR is given as follows;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)

[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]

[tex]l_{PR}[/tex] = 3·√2

For P'Q', we have

P'(-2, 2), Q'(-2, 1)

[tex]l_{P'Q'}[/tex] = 2 - 1 = 1

[tex]l_{P'Q'}[/tex] = 1

For Q'R', we have

Q'(-2, 1), R'(-1, 1)

[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1

[tex]l_{Q'R'}[/tex] = 1

For P'R', we have;

P'(-2, 2), R'(-1, 1)

[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]

[tex]l_{P'R'}[/tex] = √2

Therefore, given that we have

PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3

The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.

-1/2x+2=-x+7 i need to know

Answers

[tex] = \frac{ - 1}{ \: \: 2} x + 2 = x + 7[/tex]

[tex] = \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7[/tex]

[tex] = \frac{ - 3}{ \: \: \: 2}x + 2 = 7[/tex]

[tex] = \frac{ - 3}{ \: \ \: 2}x = 7 - 2 [/tex]

[tex] = \frac{ - 3}{ \: \: \: 2} x = 5[/tex]

[tex] x = 5 \: \div \frac{ - 3}{ \: \: \: 2} [/tex]

[tex]x = 5 \times \frac{ \: \: \: 2}{ - 3} [/tex]

[tex]x = \frac{ - 10}{ \: \: \: 3} [/tex]

[tex]∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7

[/tex]

Maggie‘s brother is 11 years younger than four times her age. The sum of their ages is 54. How old is Maggie?

Answers

Answer:

Maggie is 13

Step-by-step explanation:

Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by  4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.

Math Equation Explanation:

13*4 = 52                           (Maggies Age) x 4

52-11= 41                            The question stated that Maggie's brother was 11                                             -------------------------------------years younger than her age times 4.

41 + 13 =54                          The sum of both their ages.

(Help ASAP!!)

You play a game on your phone. For every correct move you make, you
receive 50 points. For every second that it takes you over 2 minutes to complete the
game, you lose 3 points. You complete the game in 2 minutes 10 seconds using
3 correct moves. What is your score?

Answers

Answer:

120 is the score

Step-by-step explanation:

3 correct moves X 50 points for a correct move = 150 points

-3 points for every seconds over the time X 10 seconds over 2 minutes = 30 points lose -30

150 - 30 = 120

Adam can assemble a furniture set in 5 hours. If his sister
Maria helps, they can finish it in 3 hours. How long will it
take Maria to do the job alone?

Answers

Answer:Adam:5 hours.Adam and Sister:3 hours.Maria:1 and half hour.I hope I am right

It takes Maria 7.5 hours to assemble a furniture set alone.

Let x represent the amount of time in hours that it takes Maria to assemble a furniture.

Given that it take Adam to assemble a furniture set in 5 hours. If his sister

Maria helps, they can finish it in 3 hours, hence:

3 hours (1 / 5hour) + 3 hours (1 / x) = 1

3/5 + 3/x = 1

3/x = 2/5

x = 7.5 hours

It takes Maria 7.5 hours to assemble a furniture set alone.

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What is the solution set of the equation below? 3|5 − x| + 2 = 29

Answers

Answer:

x=-4

x=14

Step-by-step explanation:

Absolute Value Equation entered :

     3|5-x|+2=29

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|-x+5|+2 = 29

Another term is moved / added to the right hand side.

     3|-x+5| = 27

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|-x+5|

For the Negative case we'll use -3(-x+5)

For the Positive case we'll use 3(-x+5)

STEP

3

:

Solve the Negative Case

     -3(-x+5) = 27

    Multiply

     3x-15 = 27

    Rearrange and Add up

     3x = 42

    Divide both sides by 3

     x = 14

STEP

4

:

Solve the Positive Case

     3(-x+5) = 27

    Multiply

     -3x+15 = 27

    Rearrange and Add up

     -3x = 12

    Divide both sides by 3

     -x = 4

    Multiply both sides by (-1)

     x = -4

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=14

x=-4

Solutions on the Number Line

 

Two solutions were found :

x=-4

x=14

QUESTION 5
The expression 50m + 18m in simplest form is
B.
81m
A.
28m
D.
8V2m
C.
812​

Answers

Answer:

the anwer is D.8V2m to youre question

if tiffany drove 21 miles using 7 gallons of gas, how many miles did she drive per gallon.?​

Answers

Answer: she drove 3 miles per gallon

Step-by-step explanation:

21 / 7 = 3 i hope this helps

what is 64x64? and I know if you use a calculator =)

Answers

Answer:

4096

Step-by-step explanation:

in a survey 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer vanilla ice cream make a prediction?

Answers

Answer:

63

Step-by-step explanation:

8 / 32 = 0.25

Multiply 0.25 with 252

0.25 * 252 = 63

This process simply applies the same ratio from the first test to the second test.

do any of you know how to do algebra 2 ?

Answers

Answer: Were is the math problem at?

Please solve that problem my homework is due ✨

Answers

Answer:

1,100 miles traveled in 2 hours, 3,300 miles in 6 hours

Step-by-step explanation:

if the plane is moving at a constant speed, to find the miles per hour divide the distance traveled over the time (1650/3). this would get you 550 miles per hour. So, to get the distances at the other times multiply the times by the speed to get distance traveled. (2*550) and (6*550)

Tell me a cool, fun fact, best fact gets. Brainliest

Answers

Answer:

The moon has moonquakes.

Step-by-step explanation:

The heads on Easter Island have bodies.

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He concludes that she is not running fast enough to exceed her fastest time.

Answers

Answer:

Answer: The question is a multiple choice so it's A and C:)

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

PLS TELL ME WHICH ONE IS TRUE PLS DONT LIE

Answers

I believe the answer is B sorry if i am incorrect
a is the correct answer

HIN
The cliff dwellings in Mesa Verde
National Park are accessible to visitors
only when accompanied by a park
ranger. Billy is at a cliff dwelling in
Mesa Verde National Park. So, Billy
(is, may be, is not) with a park ranger.
Deductive reasoning

Answers

Answer: Be careful !

Billy is with a park ranger. Should be correct BUT

It is not given that Billy is visiting the cliff dwelling.

Billy may be the Park Ranger.

So Billy may be with a park ranger.

Step-by-step explanation:

Please help me solve this. :)​

Answers

Answer:

40

Step-by-step explanation:

   Given problem:

            x² - y²

x+ y = 10

x - y = 4

Solution:

Using the concept of differences of two squares;

      x² - y² = (x + y)(x - y)

                 

So;

      x² - y²  = 10 x 4 = 40

PLEASE HELP!!!!!!!!!!!!! I HAVE TO TURN THIS IN 5 MIN!!!!!!!!!!!!!!!!
WHATS THE ANSWER FOR THE QUESTION BELOW????

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is choice C.

You could easily narrow it down by seeing that the y-intercept has decreased. Then the graph went from negative to a positive you have to multiply a negative by a negative to make it a positive.

Hello there! The correct asnwer is C. You can first elimenate the unsuitable answers then solve by doing the ¨equation¨.

Hope I helped! Have an amazing day!

Yours,

fellow brainiac

(ps. if I helped in a time efficient amount of time and answered correctly please mark brainliest, vote, comment, and rate!)

Love you! Byeeeeeee

Please help! I'm in a hurry.

Answers

Answer:

13

Step-by-step explanation:

15 and 13 have the same angle because they are opposit each other on the intersection of both lines.

Before i thought the dividing functions​

Answers

What is the question??

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measerment he oringinaly planned for the lenth of the pool to be 40m but decided to change to 32 m if the lenth of the pool in his scsale drawing is 8 centimeters which statement about the change of scale is true

Answers

Answer:

The question is not complete, fortunately, I found a match:

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. he originally planned for the length of the pool to be 40 m but decided to change it to 32 m. if the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

one cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.

one cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.

one cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.

answer:

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Step-by-step explanation:

To calculate the scaling factor, we will divide the actual figure by the figure in the scale.

Before the change: 8cm in the drawing represents 40m

8cm ≡ 40m

∴ 1cm ≡ 40 ÷ 8 = 5m

∴ 1 cm represents 5m

After the change: 8cm in the drawing represents 32m

8cm ≡ 32m

∴ 1cm ≡ 32 ÷ 8 = 4

∴ 1cm represents 4m

Therefore, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Answer:

It’s the first choice

Step-by-step explanation:

A survey was conducted of students at a highschool and at a college to determine students favorite subjects. The results are shown in the table. What percentage of the students are college students that prefer history?

Highschool-
history(80)
math (50)
science (70)
total(200)

College-
history (70)
math(60)
science (70)
total (200)

History total (150)
Math total (110)
science total (140)

Answers

Answer:35%

Step-by-step explanation:

So I’m not sure this is high school math because i’m still in grade school but...

So what you have to do is make a ratio

so if 70 students out of 200 in college prefer history the ratio should be 70 to 200 or 70:200

Then you want to do 70 * 200 which then you get a answer of .35

then to make .35 into a percent you move the decimal two spaces to the left for a answer of 35%

Hope this helps!

A total of 17.5% of students are college students that prefer history.

What is Percentage?

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Total number of students = 400

Number of college students that prefer history = 70

Percentage is the division of the required number with the whole.

Percentage of students who are college students that prefer history is,

= (70 / 400) × 100

= 17.5%

Hence the percentage of students who are college students that prefer history is 17.5%.

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The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 1012 miles. The closest that Earth ever gets to Jupiter is 3.65 × 108 miles. What is a correct representation of the number of years it will take light to travel from Earth to Jupiter at this distance? Check all that apply.

Answers

Answer:

[tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Step-by-step explanation:

The distance light travels in one year is known as a light year.

[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]

The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]

[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Name an angle supplementary to /EOD

Answers

It’s cod, they add up to 180

A vet measured the mass of two birds. The mass of the robin was 76.58 grams. The mass of the blue jay was 81.05 grams.

Estimate the difference in the masses of the birds.

The estimated difference in masses of the two birds is grams.

Answers

Answer:

a) 4.47

b) 4.47 g

Step-by-step explanation:

The masses of the birds are given as;

The mass of the robin =76.58 grams.

The mass of the blue jay = 81.05 grams.

Difference in the masses of the birds is : 81.05 - 76.58 =4.47

Difference in masses of the two birds is grams is : 81.05g - 76.58g =4.47g

Estimate this by rounding each number to 1 significant figure
a. 326 X 4.89​

Answers

Step 1: 326 x 4.89

Step 2: 1594.1400

Step 3: 2000

Answer: 2000

Hannah starting playing video games as soon as she got home from school. She played video games for 20 minutes. Then, it took Hannah 1 hour and 35 minutes to finish her homework. When Hannah finished her homework, it was 4:40 P.M. What time did Hannah get home from school?

Answers

She got home from school at 2:45 pm


[tex] \frac{1}{11} \times x = [/tex]
NEED THIS NOW/URGENT
i dont know how to simplify with fractions please need this right now!​

Answers

Answer:

1/11x

Step-by-step explanation:

Answer: it is [tex]\frac{1}{11}x[/tex] or [tex]\frac{x}{11}[/tex]

Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa

Answers

tfff am I supposed to do about this

2x + 3y = 6

y = 2/3x - 2
y = 2/3x + 2
y = -2/3x - 2
y = -2/3x + 2

Answers

Answer:

y= −2/3x+2

Step-by-step explanation:

2x+3y=6

Add -2x to both sides.

2x+3y+−2x=6+−2x

3y=−2x+6

Divide both sides by 3.

3y/3=−2x+6/3

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