If (x + y)^2 = 1 and xy = -4, what is the value of x^2 + y^2?

Answers

Answer 1

Answer:

[tex](x + y)^{2} = 1\\xy = -4\\x^{2} + y^{2} \\= x^{2} + 2xy + y^{2} - 2xy \\= (x^{2} + 2xy + y^{2}) - 2xy\\= (x+y)^{2} - 2xy\\= 1 - 2 *(-4) \\= 9[/tex]

Hope this helps!

:)


Related Questions

The question says “write with prime number base” and the question is 8 square root 32 (7,d)

Answers

Answer:

[tex]2^{\frac{11}{2}}[/tex].

Step-by-step explanation:

We need to write the given expression with prime number base.

In question 7, part d.

The given expression is

[tex]8\sqrt{32}[/tex]

It can be rewritten as

[tex]2^3\sqrt{2^5}[/tex]

Using properties of exponents , we get

[tex]2^3(2^5)^{\frac{1}{2}}[/tex]

[tex]2^3(2^{\frac{5}{2}})[/tex]    [tex][\because \sqrt[n]{x}=x^{\frac{1]{n}}][/tex]

[tex]2^{3+\frac{5}{2}}[/tex]    [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]2^{\frac{6+5}{2}}[/tex]    [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]2^{\frac{11}{2}}[/tex]

Here, base is 2 and it is prime number.

Therefore, the required expression is [tex]2^{\frac{11}{2}}[/tex].

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot.
A) 10.4 feet by 7.4 feet
B) 11.1 feet by 8.1 feet
C) 13.4 feet by 10.4 feet
D) 14.1 feet by 11.1 feet

Answers

The correct answer is d. Please give me brainlest I hope this helps let me know if it’s correct or not okay

Can someone tell me,how to do this???pls

Answers

Answer:

9x-2w+11y

Step-by-step explanation:

To find the perimeter, add up all the sides

7x-7w  + 2x+9y   + 2y+5w

Combine like terms

7x +2x    -7w +5w  + 9y+2y

9x-2w+11y

Find the slope of a line which goes through the points (2,3) and (4,3)

Answers

Answer:

m=0

Step-by-step explanation:

the slope is 0

Answer:

0

Step-by-step explanation:

We can find the slope for a line given two points using

m= (y2-y1)/(x2-x1)

  = (3-3)/(4-2)

   = 0/2

   =0

The slope is 0

A bag has 4 Hershey's bars, 5 Twix, 7 Reese's bars, and 9 Milky Way bars.
Caroline randomly picks a piece of Cândy from the bag, puts it back, and then pícks out another one. What is the
probability that Caroline does NOT pick a Hershey's bar and then does NOT pick a Twix?
#Hint: 4 + 5 + 7 + 9 = 25 total
P(NOT Hershey's and then NOT TWix) = _
b
4/25 - 5/25 = 20/625 = 4/125
4/25 * 5/24 - 20/600 - 1/30
21/25 * 20/25 - 420/625 - 84/125
21/25 * 20/24 = 420/600 - 7/10
с

Answers

Step-by-step explanation:

Total bars = 4 + 5 + 7 + 9 = 25

Probability of Reese bar = 7/25

Probability of milky way = 9/25

I agree with them !! ^

how can you convert inches to yarfs? would you multiply or divide when converting from a smaller unit to a large unit? explain

Answers

Answer:

You would divide

Step-by-step explanation:

Jada has 450 cards. How many packages of 100 cards can Jada make?

Answers

Answer:

she can make 4 and a half

Step-by-step explanation:

Jada can make only 4 packages of 100 cards, as of the given conditions.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
Jada has 450 cards.
packages of 100 cards can Jada make is given as,
= 450 / 100
= 4 + 50/100

Thus, Jada can make only 4 packages of 100 cards, as of the given conditions.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

Which best describes the sides of all trapezoids?

All sides are different lengths.

. Only one pair of sides is parallel.

o Opposite sides are parallel.

O All sides are the same length.

Answers

Answer:

only one pair of sides is parallel

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.​

Answers

Answer:

x^2 + 10x +24

Step-by-step explanation:

blue square

x ⋅ x = x^2

pink rectangle

x ⋅ 4 = 4x

green rectangle

x ⋅ 6 = 6x

orange rectangle

4 ⋅ 6 = 24

add them all together

x^2 + 4x + 6x + 24

simplify

x^2 + 10x +24

Click on the correct symbol
2,000 lb
1 T

Answers

Answer:

TFtgsbhjz whatt

Step-by-step explanation:

The correct symbol for the unit conversion is given by 2000 lb = 1 T

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the symbol be represented as A

Now , the weight of the object is given by

Let the first weight be p = 2000 lb

Let the second weight be q = 1 Ton

And , from the unit conversion

2000 lb = 1 Ton

So , the value of q = p

Hence , the symbol is equal to and 2000 lb = 1 Ton

To learn more about unit conversion click :

https://brainly.com/question/19420601

#SPJ2

Solve the equation using the distributive property and properties of equality

-5 (a + 3) = -55

What is the value of a?

Answers

Answer:

8

Step-by-step explanation:

1. distribute -5a-15= -55

2. get rid of -15 by adding 15 to both sides of the equation

-5a=-40

3. divide each side by -5 to get a

a=8

This pattern repeats every 5 terms. The pattern is trapezoid, square, triangle, pentagon, square. What is the 17th term of this pattern?

a pattern of shapes, trapezoid, square, triangle, pentagon, square

A. Triangle
B. Square
C. Pentagon
D. Trapezoid

Answers

Answer:

Square

Step-by-step explanation:

If you give each of the figures a number, successively trapezoid = 1, square = 2, triangle = 3, pentagon = 4 and the second square = 5, then repeating this sequence will turn out that 17 is a square.

Please answer ASAP !!!!! WILL MARK BRAINLIEST !!!

Answers

Answer:

Step-by-step explanation:

6v - 2u = 9

6v = 9 + 2u

v = (9 + 2u)/v

h(v)= (9 + 2u)/v

If x=12 and y=3, what is the value of x−y2?

6
18
3
81

Answers

Answer:

6 OR 3. Read explanation

Step-by-step explanation:

12-(3*2)=12-6=6

But I am guessing there may be a formatting error and you are trying to find y^2, so here goes.

12-(3^2)=12-9=3

Hope I patched up the holes. Good luck with homework :)

18..... 12-3= 9 9(2)= 18

6....... 12-(3x2)= 12-6=6

what is 5(2x + 3y) + 7(3x –y) simplified

Answers

Look at the attached picture

◖⚆ᴥ⚆◗

Answer: The answer is 31x+8y

Step-by-step explanation:

(5)(2x)+(5)(3y)+(7)(3x)+(7)(−y)

=10x+15y+21x+−7y

Combine Like Terms:

=10x+15y+21x+−7y

=(10x+21x)+(15y+−7y)

=31x+8y

Please help me - it is due today. I will mark brainleist for whoever gets them correct, first. Thanks!

Answers

Answer:

1. -12

2. (135/n) -15

3. -4

4. -56

Answer:

from left to right

1. -12

2. -15

3. -4

4. -56

Step-by-step explanation:

1. divide 108/-9

2. put n with -9 and divide 135/-9

3. divide -96/24

4. multiply -8 * 7 = -56 = n

Using the dot plot, describe the members of the math
club
x
Ages of Math Club Members
+
9
+
10
+
11
12
13
I need help

Answers

There are 9 members in the math club

From the dot plots, we have the following frequency distribution

Age 9 = 2Age 10 = 0Age 11 = 1Age 12 = 2Age 13 = 4

So, the total member of the math club is:

[tex]Total = 2 + 0 + 1 + 2 + 4[/tex]

Add all terms, in the above equation

[tex]Total = 9[/tex]

Hence, there are 9 members in the math club

Read more about dot plots at:

https://brainly.com/question/9779159

Answer: The math club has 8 members. The youngest member is 9. The oldest member is 13. Therer is a cluster between 11 and 13, with a peak at 13. There is a gap at 10.

Step-by-step explanation:

What is the completely factored form of 3x^5-7x^4+6x^2-14x?

Answers

Answer:

x(x - 7)(x^3 + 2)

Step-by-step explanation:

Note that x is a common factor here:

3x^5-7x^4+6x^2-14x  =  x(3x^4 - 7x^3 + 6x - 14), or:

x(3x^4 - 7x^3 + 6x - 14)     Note that 6x - 14 can be rewritten as 2[x - 7]

                                          and that 3x^4 - 7x^3 can be rewritten as x^3[x - 7]

Therefore, x(3x^4 - 7x^3 + 6x - 14 becomes:

x(x - 7)(x^3 + 2)

Which superhero defeats more enemies per minute?

Answers

The answer is Swag man

need help fastt will give brainliest!!!!!!

Answers

Answer:

1) A

2) B

Step-by-step explanation:

Answer:

# 1 is A             #2 is B

Step-by-step explanation:

i hope this helps btw u got insta

HEY GUYS I NEED HELP ASAP PLZZ! 20 points to the person who can give me the right answer first!!

MATH PROBLEM: Josh has a 4-foot long board. How much of it does he need to cut off to be left with a length of 20 inches?

Answers

Answer:

28 inches of the board

do the ratios 1/3 and 2/9 form a proportion

Answers

Answer: No they don't because there is not way 1/3 can be multiplied by a number to get  2/9 and there is no way 2/9 can be divide by any number to get 1/3.

Step-by-step explanation:

Answer:

they do!

Step-by-step explanation:

2/9 / 1/3 = 3/6 = 1/3

So the proportion is 2 to 1


Which graph can be used
find the solution for the equation 4x + 2 = x+ 37
Hover over answer image to enlarge


sorry if the image is hard to read. the blue in D in going down the origin.​

Answers

its hard to read the graph

Identify 2 objects you could find in a grocery store that hold less than 100 millimeters.

Answers

Toothpaste and food coloring

Divide.

(6x^3+8x^2-6x+4) / (x+2)

Answers

Answer:89

Step-by-step explanation:

I do math I’m 3 grade

What is the perimeter of this square?

Answers

Answer:

144 cm

Step-by-step explanation:

P=4l

P=4*36

P=144 cm

Answer:

144 cm

Step-by-step explanation:

Since the shape is a square, all the lengths are the same. so to solve, add all the lengths together. Either (36+36+36+36) or 36*4. 36*4=144. So, the answer is 144 cm

What is a quartile of 35, 45, 50, 65,85

Answers

Answer:

Lower quartile: 21.5

Median: 45

Upper quartile: 57.5

Step-by-step explanation:

pls mark brainliest

Dan bought four candy bars for a total $24.96. How much did each candy bar cost? Thank you

Answers

Answer:

Each one is $6.24

Step-by-step explanation:

You have to divide 24.96 by 4

How does the function f(x) = a ln x compare to the parent function when |a| > 1?

Answers

Answer: The graph is stretched.

Step-by-step explanation:

Answer:

The graph is stretched

Step-by-step explanation:

right on edge 2023

PLease Solve Quick 20 points! brainiest to whoever answers first and correctly!

The function f satisfies
f(sqrt(x+1))=1/x
for all x>=-1.

Find f(2)

Answers

Answer:

f(2)=1/3

Step-by-step explanation:

x=3

f(sqrt(3+1))=1/3

f(sqrt(4))=1/3

f(2)=1/3

Other Questions
Darryl is a plumber. He charges $35 to make a service call and $20 an hour for any repairing. Write an algebraic equation relating Darryls charge to the total number of hours of labor required. 44 students completed some homework and the histogram shows information about the times taken. Work out an estimate of the interquartile range. In your working you must show the lower and upper quartiles A Carnot cycle is to be designed to attainefficiency of 0.75. It temperature of thereservoir is 727C, then low temperaturereservoir will have to be maintained at C Which equation represents a spontaneous reaction?A)Ca + Ba2+ to Ca2+ + BaB)Co + Zn2+ to Co2+ + ZnC)Fe + Mg2+ to Fe2+ + MgD) Mn + Ni2+ to Mn2+ + Ni The process of separating the DNA fragments with an electrical current iscalled Which is the best approximation for the value of 83? at the beginning of day 1 there were one hundred of each color bean. twenty of the dark red beans and thirty five of the light red beans were eaten. what effect will this have on the population of the beans FEDERIGO'S FALCON- commonlitSummarize the various complications, or moral dilemmas, utilized in the story. How, if at all, do they resolve themselves? Ryan earned money babysitting. He earned $40, $40, $51, $32 and $22. Find the mean amount he earned. Calculate the pH of a (0.000765) M solution of KOH The ratio of the side lengths of Figure A to the side lengths of Figure B is 3 : 5. The area of the smaller figure is 36 square inches. What is the area of the larger figure? In the context of the article, what makes a hero? How did Jackie Robinsons accomplishments in baseball make him a hero to many? Cite evidence from this text, your own experience, and other literature, art, or history in your answer. The SI unit that can be used to express mass is ? Soda reminds Ponyboy of a long-legged palomino colt that has to get his nose into everything (10). Type (size 12 or 14) a rhyming, 16-line poem on comparing yourself to an animal. Your poem may be serious or humorous. Find the slope of the line graphed Bolster Foods (BF) balance sheet shows a total of $25 million long-term debt with a coupon rate of 8.50%. The yield to maturity on this debt is 8.00%, and the debt has a total current market value of $27 million. The balance sheet also shows that the company has 10 million shares of stock, and the stock has a book value per share of $5.00. The current stock price is $20.00 per share, and stockholders' required rate of return, rs, is 12.25%. The company recently decided that its target capital structure should have 35% debt, with the balance being common equity. The tax rate is 40%. Calculate WACCs based on book, market, and target capital structures. What is the sum of these three WACCs? A line graph can show informationa. Across days onlyAcross months only. Across many yearsd Across hours only What is the kinetic energy of a 44kg cheetah running at 50 m/s? Which one of these grids is shaded red and blue in the ratio 1 : 1/3 ? The price of the house is originally listed at 115,000. The owners are having a hard time selling it and decide to reduce the price to 103,500. What is the percentage decrease of the price of the house ?