If 3x^2+3y^2 = 42 and xy = -15, find the value of (x-y)^2

Answers

Answer 1

Answer:

3x² + 3y² = 42

3 ( x² + y² ) = 42

x² + y² = 14

xy = -15 ( given )

(x-y)² = x² + y² - xy

14 - ( -15 )

14 + 15

29


Related Questions

-16-20÷4+9

easy math, pls answer

Answers

Answer:

it should be -12

Step-by-step explanation:

I looked it up and started to work it out use PEMDAS

Beatrice has $0.28 in her pocket. what is the percent that she has

Answers

Answer:

she has 28% of a dolar in her pocket

Step-by-step explanation:

A statement and portions of the flowchart proof of the statement are shown.

Which reason should appear in the box labeled 1?


Angle Addition Postulate

Angle Congruence Postulate

Ruler Postulate

Linear Pair Postulate
Flow chart proof. Given measure of angle B A C is 20 degrees and measure of angle C A D is 15 degrees. Prove the measure of angle B A D is 35 degrees. Given image shows acute triangle A B D. Point C is on side B D with point C slightly closer to point D. Segment A C drawn. Flow chart consisting of 4 rows of horizontal text boxes. A horizontal line segment joins the midpoints of each of the vertical sides of each of the text boxes effectively subdividing each text box into an upper box and lower box. In row 1 there is 1 textbox. In the upper half of the box is the equation the measure of angle B A D equals the measure of angle B A C plus the measure of angle C A D. In the lower half of the box is the number 1 in a smaller box. In row 2 there are 2 text boxes. In the upper half of the box on the left is the equation the measure of angle B A C equals 20 degrees. In the lower half of the box is the word Given. In the upper half of the box on the right is the equation the measure of angle C A D is 15 degrees. In the lower half of the box is the word Given. In row 3 there is 1 text box. In the upper half of the box is the equation the measure of angle B A D equals 20 degrees plus 15 degrees. In the lower half of the box is the phrase Substitution Property of Equality. In row 4 there is 1 text box. In the upper half of the box is the equation the measure of angle B A D equals 35 degrees. In the lower half of the box is the word Simplify. A ray is drawn from the text box in row 1 to the text box in row 3. A ray is drawn from each of the text boxes in row 2 to the text box in row 3. A ray is drawn from the text box in row 3 to the text box in row 4.

Answers

Answer:

Ruler Postulate

Step-by-step explanation:

In box 1, the reason that justifies the statement, m∠BAD = m∠BAC + m∠CAD, is: angle addition postulate.

What is the Angle Addition Postulate?

The angle addition postulate states that the measure of a larger angle equals the sum of smaller angles that make up the larger angle.

∠BAD comprises of ∠BAC and ∠CAD.

Therefore, based on the angle addition postulate, m∠BAD = m∠BAC + m∠CAD.

The missing reason in box 1 would be: angle addition postulate.

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help me please please please i need it

Answers

Answer:

Step-by-step explanation:

Remark

If you take one radius whose length is r and start it at (0,0) on one end and (r,0) at the other, and sweep it around so the (r,0) hits every point on the circumference of the circle, the radius will go through 360°.

You have only gone through 120°. That's no problem. All you have to do now is add a fraction that adjusts for the 120°.

Formula

Arc length = fraction * 2*pi * r

2*pi * r is the circumference

Arc Length = 2* (120/360) * pi * r

Givens

r = 13

pi = 3.14

Solution

Arc Length = (120/360) * 2 * pi * 13

Arc Length = 27.21

Answer

Arc Length = 27.21

A person has 7 songs to choose from and will perform 3. How many different ways can they do this?

Answers

Answer:

They can chose the best song out or used others opinion.

Step-by-step explanation:

Please help!!! Which of the following expand (x + y)^5 using Pascal’s Triangle?

Answers

Answer:

[tex] {x}^{5} + 5 {x}^{4} y + 10 {x}^{3} {y}^{2} + 10 {x}^{2} {y}^{3} + 5x {y}^{4} + {y}^{5} [/tex]

I need help pleaseee

Answers

Answer:

P= (3x-1)+(x+2)+(3x^2-11x)+(x^2-3x)

= 4x^2-10x+1

A solid is cut by a plane that is parallel to its base, forming a two-dimensional cross section in the shape of a square. Which of the following solids could have resulted in that cross section?

Answers

Answer:

It's A.

Step-by-step explanation:

This is because the cross section of the shape is a square, which is why it is A.

What fraction of 2.4 litres is 400 ml?​

Answers

Answer:

1\5 of 2 litres is 400 ml.

Step-by-step explanation:

Hope this helps!!!

Help me find the media, mode and the mean look at the photo and solve the puzzle

Answers

Answer: See below.

Good Luck! I hope this helps!

Step-by-step explanation:

1) Find the Mean of 7  18  9  22  4.

7 + 18 + 9 + 22 + 4 = 50

50 ÷ 5 = 10

2) Find the Median of 7  18  9  22  4.

4  7  9  18  22

The Median is 9.

3) Find the Mean of 7  3  7  4  8  9  2.

7 + 3 + 7 + 4 + 8 + 9 + 2 = 40

40 ÷ 7 = 5.7

4) Find the Median of 7  3  7  4  8  9  2.

2  3  4  7  7  8  9

The Median is 7.

5) Find the Mode of 7  3  7  4  8  9  2.

Mode is the number that occurs the most.

2  3  4  7  7 8  9

The Mode is 7.

6) Find the Median of 6  10  23  24  13  9  23  12.

6  9  10  12  13  22  23  24

There are 8 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, [tex]\frac{(12+13)}{2} = \frac{25}{2} = 12.5[/tex]

The Median is 12.5.

7) Find the Mean of  6  10  23  24  13  9  23  12.

6 + 10 + 23 + 24 + 13 + 9 + 23 + 12 = 120

120 ÷ 8 = 15

The Mean is 15.

8) Find the Median of 120  113  101  101  112.

101  101  112  113  120

The Median is 112.

9) Find the Mean of 73  72  72  98  99  96  98  98  73.

73 + 72 + 72 + 98 + 99 + 96 + 98 + 98 + 73 = 779

779 ÷ 9 = 86.6.

10) Find the Mode of 73  72  72  98  99  96  98  98  73.

72  72  73  73  96  98  98  98  99

The Mode is 98.

11) Find the Mode of 6  10  23  24  22  9  23  13.

6  9  10  13  22  23  23  24

The Mode is 23.

12) Find the Median of  73  72  72  98  99  96  98  98  73.

72  72  73  73  96  98  98  98  99

The Median is 96.

13) Find the Median of 12  22  26  15  18  22  29  11  22  18.

11  12  15  18  18  22  22  22  26  29

There are 10 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, [tex]\frac{(18+22)}{2} = \frac{40}{2} = 20[/tex]

The Median is 20.

THE END!  Yay!

can you pls help me, i need it

Answers

according to the topic

5000+1400+1700+2200-5000×80%+1200

=55300-4000+1200

=$52500

Thus we choose option B

B.$52,500

Write a linear equation to represent the sequence 3, 7, 11, 15, ....

show how you got ur answer so I can see if it Makes sense!

Answers

Answer:

Linear equation : 4n - 1

Step-by-step explanation:

4 x  (1) - 1 = 3
4 x ( 2) - 1 = 7
4 x (3) - 1 = 11
4 x (4 ) - 1 = 15

And so on

The surface area of a cube is 96 square units. What is the volume of the cube?

Answers

Answer:

volume=64

Step-by-step explanation:

surface area of cube =96

6l²=96

l²=16

l=4

now, by the question

volume of cube =l³

=(4)³

=64

These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
H
Town B
2
35 40
45 48
Н
0
5
10
15
20
45 50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?
A. The median temperature for both towns is 40°.
B. The median for town A, 30°, is less than the median for town B,
40°.
C. The mean for town A, 30°, is less than the mean for town B, 40°.
D. The median for town A, 15°, is greater than the median for town B,
2º.

Answers

The statement (B) "The median for town A, 30°, is less than the median for town B, 40 degree" is correct.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

From the data given:

For town A and Town B

As we can see in the box plot

The median for town A = 30 degree

Median for town B = 40 degree

The median for the town, A < Median for town B

Thus, the statement (B) “The median for town A, 30°, is less than the median for town B, 40 degree” is correct.

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Which picture shows a distance of 2/6 from point A to point B?

Answers

The correct choice for this question is Option B

What Is The Volume? Show Your Work Please

Answers

Answer:

406[tex]ft^{2}[/tex]

Step-by-step explanation:

Determine the
period.

Answers

Answer:  16

Explanation:

There are a few ways to measure the period. One way is to measure the horizontal distance from peak to peak.

The left peak occurs at x = 1

The right peak occurs at x = 17

This is a horizontal distance of 17-1 = 16 units.

Therefore, the period is 16. The curve repeats itself every 16 units.

The width of a rectangle measures (36 + 5) centimeters, and its length measures
(86 + 6) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?

Answers

Answer:

Step-by-step explanation:

36+5=41

86+6=92

41*2=82

92*2=184

82+184=266

Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.315. Find the probability that in a given year it will not snow on January 1st in that tow

Answers

The probability that in a given year it will not snow on January 1st will be P = 0.915.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Since the total probability is always equal to 1 if the probability of happening of an event is given then the probability of not happening of an event will be determined by subtracting it from one.

The probability of not any snowfall will be calculated as:-

P = 1 - 0.315

P = 0.615

Therefore the probability that in a given year it will not snow on January 1st will be  P = 0.915.

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What is the sum of the polynomials? (–x2 9) (–3x2 – 11x 4) –4x2 – 2x 4 –4x2 – 11x 13 2x2 20x 4 2x2 11x 5

Answers

The sum of the polynomials x^2 + 9 and -3x^2 - 11x^4 - 4 is - 11x^4  -2x^2 + 5

How to determine the sum?

The polynomials are given as:

x^2 + 9

-3x^2 - 11x^4 - 4

The sum is represented as:

x^2 + 9 -3x^2 - 11x^4 - 4

Collect like terms

- 11x^4  -3x^2 + x^2 + 9 - 4

Evaluate the sum

- 11x^4  -2x^2 + 5

Hence, the sum of the polynomials is - 11x^4  -2x^2 + 5

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I NEED HELP ASAP
Identify the x value of the solution to the system of equations.
x – 4y = 1
6x + 4y = 20

Answers

Answer:

1x + 4y = 4 ⇒ 6x + 24y = 24

6x -  8y = 0 ⇒ 6x -   8y = 0  

                              32y = 24

                               32     32

                                  y = 3/4

                    x + 4(3/4) = 4

                           x + 3 = 4

                               -3   -3

                                x = 1

                           (x, y) = (1, 3/4)

Step-by-step explanation:

up there :D

The integer succeeding -9 is

Answers

The integer succeeding -9 is - 8.

Answer:

-8 is the answer as it goes like -10,-9,-8 etc

A square table has a perimeter of 20 feet. What is its area?

Answers

Answer:

25 feet squared :)

Step-by-step explanation:

20/4 = 5

5^2 = 25

5.11.6 - Portfolio Item: Fireworks Display Portfolio
CONNEXUS ONLINE SCHOOL

Answers

Portfolio items are assessments that entails students  submitting documentation which are made up of  compositions, lab reports, essays, book reports for their teachers and used for their grading.

What is the ways to submit Portfolio and sample work items?

This can be done via:

Dropbox Items Mail-in Items

Note that Typically, portfolio and sample work assessments are often submitted online using the use of the two means above such as Dropbox.

Note also that the  Dropbox is said to be a feature that gives room for students to upload files from their system to Connexus School for teacher to be able to review and grade them.

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Answer:

I hope I'm not too late. I did this assignment, and got 100%. But I recommend using Quillbot to paraphrase, and Prepostseo to check for plagiarism.

Step-by-step explanation:

PDF ATTACHED

Help me please
Trina invests $ 16000 at a rate of 5% per year interest. Work out the value of her investment at the end of a year.

Answers

Answer:

$ 16800

Step-by-step explanation:

Simple Interest Value = Principal × Interest Rate × Time

0.05 × 16000 × 1 = $ 800

(Money invested + Interest = Total money in the account)

16000 + 800 = 16800

Trivia's Bank account will have $16800 at the end of one year.

Please hurry!A flagpole casts a shadow that is 28 fery long. At the same time,a stick that is 2 feet tall casts a shadow that is 3.5 feet long how tall is the flagpole?

Answers

Answer - The flagpole is 16 feet tall.

Explanation -

2/3.5 =1.75

1.75x16 =28

Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:





Which information is not provided in the histogram?


The total number of students who collected bottles

The number of students who collected exactly 9 bottles

The number of students who collected 3 or fewer bottles

The total number of students who collected 7 or fewer bottles

Answers

Answer:

The number of students who collected exactly 9 bottles.

Step-by-step explanation:

The given histogram shows the number of students who participated in the recyling drive & their old bottle waste collection.

We can find out the total number of students who participated just by looking at the histogram (students = 10), the number of students who colected bottles below 7 or 3 bottles etc.

But since the number of bottles is given in the form of grouped data, one cannot infer the exact number of bottles collected by students.

Hence, out of the given statements, 'The number of students who collected exactly 9 bottles' is the incorrect one.

[tex]\rule{150pt}{2pt}[/tex]

Goblin gryh can count the coins in a bag in 10 minutes. of goblin Birt counts with him, they can count all the coins in 6 minutes. How long would it take goblin Birt to count the coins in the bag by himself?

Answers

Answer:

pagpalit og pandesal og kopiko didto sa bakery

Goblin Birt can take 15 minutes to count the coins in the bag by himself.

What is unitary mehtod?

The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.

How to calculate how long would it take goblin Birt to count the coins in the bag by himself ?In this problem, unitary method is to be applied three times.Here, counting all the coins is considered as the entire work which is considered as 1.

According to the problem,

Goblin gryh can count the coins in a bag in 10 minutes.

∴ In 10 minutes Goblin gryh can count the coins in the bag.

∴ In 1 minute Goblin gryh can count [tex]\frac{1}{10}[/tex] th part of the coins in the bag.

Again, according to the problem,

Goblin gryh and Goblin Birt both can count all the coins in 6 minutes.

∴ In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag

∴ In 1 minute, Goblin gryh and goblin Birt both can count [tex]\frac{1}{6}[/tex] th  part of the coins in the bag.

∴ In 1 minute, Goblin Birt can count [tex](\frac{1}{6} - \frac{1}{10})[/tex] th part of the coins in the bag.

                                             = [tex]\frac{5-3}{30} = \frac{2}{30} = \frac{1}{15}[/tex] th part of the coins.

∴ We can say,

Goblin Birt can count [tex]\frac{1}{15}[/tex] th part of the coins in the bag in 1 minute.

Goblin Birt himself can count all the coins in the bag in 15 minutes.

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Which statements are true for the given geometric sequence? Check all that apply.

The domain is the set of natural numbers.
The range is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x
The sequence shows exponential growth.

Answers

The statements are true for the given geometric sequence.

The domain is the set of natural numbers.

The recursive formula representing the sequence is f(x + 1) = 3/2(f(x )) when f(1) = 4.

The sequence shows exponential growth.

We have given the graph.

What is the geometric sequence?

A geometric sequence is a sequence in which the ratio of every two successive terms is a constant.

The graph is given below we can see that

The domain is the set of natural numbers.

The recursive formula representing the sequence is

f(x + 1) = 3/2(f(x )) when f(1) = 4.

The given graph grows exponentially.

The sequence shows exponential growth

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Answer:

a, c, e

The domain is the set of natural numbers.

The recursive formula representing the sequence is f(x+1) = Three-halves(f(x)) when f(1) = 4

The sequence shows exponential growth.

Step-by-step explanation:

The length of one side of an ice cube is 2.5 cm. Calculate the volume of the ice cube.​

Answers

Answer:

15.63 cm^3

Step-by-step explanation:

Assuming that the ice cube is a perfect cube, then all of the sides are equal. There for, each side is 2.5 cm.

v = l*w*h

v = 2.5 * 2.5 * 2.5

v = 6.25 * 2.5

v = 15.625 cm^3

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