If
[tex]x - y = 12[/tex]
[tex] \sqrt{xy } = 3[/tex]
find the valve of
[tex] {x }^{2} + {y}^{2} [/tex]

Answers

Answer 1

Answer:

162

Step-by-step explanation:

[tex] { \sqrt{xy} } = 3[/tex]

[tex] = > ( { \sqrt{xy} })^{2} = {3}^{2} [/tex]

[tex] = > xy = 9[/tex]

Also ,

[tex]x - y = 12[/tex]

[tex] = > {(x - y)}^{2} = {12}^{2} [/tex]

[tex] = > {x}^{2} + {y}^{2} - 2xy = 144[/tex]

Putting the value of 'xy' above gives :-

[tex] {x}^{2} + {y}^{2} - 2 \times 9 = 144[/tex]

[tex] = > {x}^{2} + {y}^{2} = 144 + 18 = 162[/tex]


Related Questions

In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of
the length of play times was 43 minutes. Which of the following is the best interpretation of this value?
Fifty percent of the video game data is below 43 minutes.
The middle half of the video game data has a range that is 43 minutes wide.
The number of minutes played by students typically varies by about 43 minutes from the mean.
The difference between the smallest and largest values in the video game data was 43 minutes.

Answers

Answer:

The middle half of the video game data has a range that is 43 minutes wide.

Step-by-step explanation:

Thats the answer on Edguinity I took the Quiz.

Answer:B

Step-by-step explanation:

EDGE 2023

How are factors and products connected

Answers

In multiplication the numbers you multiply are called factors; the answer is called the product. So basically both things are used in multiplication

PLEASE HELP!! WHICH ONE IS GREATER?? -3 or 3 PLEASE EXPLANE IF YOU CAN??! THANK YOU!

Answers

3 because Negative numbers equal less than 0. See the number line attached below. In the number line, all the negative numbers are on the left of the zero and all the positive numbers are on the right of the 0.

Q1 [5]
A cliff is located on the edge of a river. An observation tower, 11 meters tall, is built on the
cliff. The angle between the top of the cliff and the opposite side of the river is 20°, while the angle
between the top of the tower and the opposite side of the river is 30° Let's define h as the height of
the cliff and w the width of the river.
iii. Draw the cliff, tower and river writing all the information given (1pt)
Find the width of the river (4 pt)
iv.

Answers

Answer:

The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer

The width of the river is approximately 51.55 meters

Step-by-step explanation:

The height of the observation tower = 11 meters

The angle of elevation of the cliff top and the opposite side of the river = 20°

The angle of elevation of the tower top and the opposite side of the river = 30°

Therefore, by sine rule, we have;

h/sin(20) = w/sin(60)

11/sin(10) = length, l/sin(60)

l = sin(60) ×11/sin(10) ≈ 54.86 meters

w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters

The width, w, of the river is approximately 51.55 meters.

Help please it would mean a lot to me because I just don’t understand it

Answers

Answer:

[tex]\boxed{A. a < 7}[/tex]

Step-by-step explanation:

Hey there!

Well given,

2a + 6 < 4(a - 2)

We need to simplify for a.

Distribute 4, 4(a - 2)

4*a = 4a

4*-2 = -8

2a + 6 < 4a - 8

-2a to both sides

6 < 2a - 8

+8 to both sides

14 < 2a

14 ÷ 2 = 7

Thus, a < 7.

Hope this helps :)

Answer:

a > 7

Step-by-step explanation:

Distribute the 4 on the right side. (Distributive Property)

Put the like terms together.

Combine like terms.

Divide on both sides (divide by the coefficient) and flip the inequality sign.

Your final answer should a > 7

Rearrange the equation so w is the independent variable.

-2u + 6w = 9

u = _______

Answers

Answer:

u = 3w -9/2

Step-by-step explanation:

-2u + 6w = 9

Subtract 6w from each side

-2u + 6w-6w = 9-6w

-2u  = 9-6w

Divide each side by -2

-2u /-2 = 9/-2-6w/-2

u = 3w -9/2

Which expression is equivalent to √100 + 4√10 + 3 − 8√10?
10 − √10

−4√10 + 13

3 − 2√10

√10

Answers

Answer:

2nd option

Step-by-step explanation:

√100 + 4√10 + 3 - 8√10

√100 can be written as 10

so it becomes,

10 + 4√10 + 3 - 8√10

-4√10 + 13

Hope this helps

plz mark as brainliest!!!!!!

The equivalent expression to √100 + 4√10 + 3 - 8√10 is [tex]- 4\sqrt{10} + 13[/tex].

What are surds and indices?

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

The given expression is √100 + 4√10 + 3 - 8√10.

= [tex]\sqrt{10\times 10} + 4\sqrt{10} + 3 - 8\sqrt{10}[/tex].

Now, we'll combine the terms having the same radical value inside.

[tex]= 10 + 3 - 4\sqrt{10}[/tex].

[tex]= 13 - 4\sqrt{10}[/tex].

Or,

[tex]= - 4\sqrt{10} + 13[/tex].

learn more about radicals here :

https://brainly.com/question/1369233

#SPJ2

A taxi cab charges $4.00 per minute for local
roads and $7.00 per minute for highways. Max
rode on a taxi cab and traveled over both local
roads and a highway. If he spent $59 on a ride
that lasts 11 minutes in total, how much time
did Max spend in the taxi going over the local
roads?

Answers

Answer:

5 minutes with 7$,6 minutes with 4$

Step-by-step explanation:

Let's just say that he travelled only local

11 ×4 =44$(the false sume)

59 - 44 =15 (the difference between the real sume and the false)

7-4 =3$(the difference between the highway and local)

15 :3 =5minutes with 7$

11-5 =6 minutes with 4$

12 − 7 = 2(3 + 5) + 6 − 17

Answers

It equals 5- hope this helps---

1: name three collinear points

2: name DC 2 different ways

3: name the intersection of line f and AB

4: name the intersection of planes Q and P

5: give another name of plane p

Answers

Answer:

(I). The collinear points are DC, and E

(II). The name of DC in different way is

[tex]DC = CD[/tex]

[tex]DC=DE+EC[/tex]

(III). The name of the intersection of line FG and AB is CD.

(IV). The name of the intersection of  planes P and Q is EF.

(V).  The another name of plane PQ is QP.

Step-by-step explanation:

Given that,

The following questions are,

(I). We need to find the name three collinear points

Using diagram

The collinear points are DC, and E

(II). We need to find the name of DC to different ways

Using diagram

The name of DC in different way is

[tex]DC = CD[/tex]

[tex]DC=DE+EC[/tex]

(III). We need to find the name of the intersection of line FG and AB

Using diagram

The name of the intersection of line FG and AB is CD.

(IV). We need to find the name of the intersection of planes P and Q

Using diagram

The name of the intersection of  planes P and Q is EF.

(V).  We need to find the another name of plane PQ

Using diagram

The another name of plane PQ is QP.

Hence, (I). The collinear points are DC, and E

(II). The name of DC in different way is

[tex]DC = CD[/tex]

[tex]DC=DE+EC[/tex]

(III). The name of the intersection of line FG and AB is CD.

(IV). The name of the intersection of  planes P and Q is EF.

(V).  The another name of plane PQ is QP.

+
3. -5y- 10=-60
Solve the equation for -5y- 10=-60

Answers

Answer:

y=10

Step-by-step explanation:

you first add 10 to both sides

the bring down the -5y

thr divide it -50 with -5

Segment PE has endpoints P(-4,4) and E(0,-4). Find the coordinates of point Q such that PQ:QE is 1:3. Enter the coordinates below

Answers

Answer:

(-3, 2)

Step-by-step explanation:

Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] P(-4, 4) = (x_1, y_1) [/tex]

[tex] E(0, -4) = (x_2, y_2) [/tex]

[tex] m = 1, n = 3 [/tex]

Plug in the necessary values to find x and y coordinates for point Q as follows:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{1(0) + 3(-4)}{1 + 3} [/tex]

[tex] x = \frac{0 - 12}{4} [/tex]

[tex] x = \frac{-12}{4} [/tex]

[tex] x = -3 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{1(-4) + 3(4)}{1 + 3} [/tex]

[tex] y = \frac{-4 + 12}{4} [/tex]

[tex] y = \frac{8}{4} [/tex]

[tex] y = 2 [/tex]

The coordinates of the point Q are (-3, 2))

What is the solution to the following equation?
-50 = -5x - 3(5x + 15)

Answers

The answer is x= 1/4

Answer:

Step-by-step explanation:

-50 = -5x - 3(5x + 15)           {Use distributive rule}

-50 = -5x  + 5x *(-3) + 15*(-3)

-50 = -5x - 15x - 45         {Combine like terms}

-50 = -20x - 45     {Add 45 to both sides}

-50 + 45 = -20x

-5   = -20x         {Divide both sides by -20}

-5/-20 = x

1/4 = x

How much chocolate will 3 people get if they share a 4/5 pound of chocolate equally

Answers

[tex]\text{Hello!}[/tex]

[tex]\large\boxed{\frac{4}{15}lbs}[/tex]

[tex]\text{Since the chocolate is being shared with 3 people, divide by 3:}[/tex]

[tex]\frac{4}{5} / 3 = \\ \\\text{Divide by multiplying by its reciprocal:}\\\\\frac{4}{5}* \frac{1}{3} = \frac{4}{15}lbs[/tex]

Answer:

15/4

Step-by-step explanation:

Keep the first fraction

3 ÷ 5/4

Flip the second fraction and change division to multiplication

3/1 × 4/5

Multiply

3/1 × 4/5 = 15/4

Solve: 8 = 16 + X
please help me. :)

Answers

Answer:

x=-8

Step-by-step explanation:

8=16+x

-x=16-8

-x=8

x=-8

Lucy and Jennie are having a basketball shooting contest. A +1 is scored for every basket made and a -1 is given for each missed shot. At the end of the game, Jennie has a +8 and Lucy has a -3. What is the difference in their scores?​

Answers

Answer:The diffrence is 11


A circle has a diameter of 16 cm. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

the answer is 50.27 cm for your question

PLEASSSSSSSSSSSSEEE HELPPP

69=-3(-3-4p)

Answers

Answer:

p = 5

Step-by-step explanation:

-3(-3-4p) = 69

-3×(-3) + -3× (-4p) = 69

9 + 12p = 69

12p + 9 - 9 = 69 - 9

12p = 60

p = 5

Hope this helps!!!

Matea recorded that water levels in one part of the river fell 1.05 millimeters per year for 2.48 years. Describe how you could estimate the total variation in water level.

Answers

Answer:

The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6.

Step-by-step explanation: I'm taking the test

Answer:

Sample response: The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6.

Step-by-step explanation:

PLEASE HELP PLEASE 9TH GRADE MATH

Answers

Answer:

A

Step-by-step explanation:

I believe it is A because for perpendicular lines the slope must be the reciprocal and have the opposite sign. The y-intercept 2 matches the coordinates (-2, 2). The second number, 2, is the y coordinate.

equivalent ratios of 5:7

Answers

Answer:

10:14 15:21 etc.

Step-by-step explanation:

2(x+1)=3x-x+2 help fast and show work please

Answers

Answer:

0=0

Step-by-step explanation:

[tex]2(x+1)=3x-x+2\\\\\mathrm{Add\:similar\:elements:}\:3x-x=2x\\2\left(x+1\right)=2x+2\\\\\mathrm{Expand\:}2\left(x+1\right):\quad 2x+2\\2x+2=2x+2\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2x+2-2=2x+2-2\\\\Simplify\\2x=2x\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-2x\\\\Simplify\\0=0\\\\\mathrm{True\:for\:all}\:x[/tex]

Latoya drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 216 miles?

Answers

Answer:

8.1 gallons of gas

Answer:

8.10 or 8

Step-by-step explanation:

you divide the miles with how many tanks of gas was used to find how much 1 gallon can take you.

240/9=26.66

now that you know how much 1 gallon of gas can take you you have to divide 216 by 26.66 to find how many gallons you would need

216/26=8.10

Alex buys 24 apples from the supermarket. when he gets home 6 of them are bad. what percentage of apples are bad? round your answer to the nearest answer.

Answers

Answer:

6/24 is 25 percent......  so 25% of his apples are bad

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

6 is the number of apples bad

That means that 6/24 of them were bad apples

6/24=1/4 since you divide by 6 on numerator and denominator

1/4 can be expressed as 25%

Homework Pro
Question Progress
Simplify
olo
leaving your answer in index form.

Answers

Since it’s the same number just different exponent and there is an exponent down you can actually rearrage it.

So rn it’s 6^7/6^5
Well that’s the same as
6^7x6^(-5)
So you can actually just subtract the exponents
7-5=2
So really the question is asking
6^2 which is 36.

8 ( x + 7 ) = 32 + 2x

Answers

Answer:

8x (x+7) =32+2x :x=-4

Step-by-step explanation:

best i got i had someone help me lol

Answer:

x = - 4

Step-by-step explanation:

8 ( x + 7 ) = 32 + 2x

8x + 56 = 32 + 2x

8x - 2x = 32 - 56

6x = - 24

x = - 24/6

x = - 4

George buys stock in three different companies on the New York Stock Exchange. He bought one for $168, one for $231, and another for $189. How much did George spend on all of these stocks combined?

Answers

the answer is 588 dollars

which numbers are less than negative 8/3 ​

Answers

-3, -4, -5, -6, etc.

Hopefully, you'll get answers as good as the ones you're giving.

For this question, you would need to spend whatever you have left after you bail out your daughter and her math teacher.

round 9.17302 to the nearest thousandths tenths and nearest unit

Answers

Answer:

170000

Step-by-step explanation:

17000

There are 78 students in the fourth grade 39 of them are girls

Answers

What is the rest of the problem or equation ?

Answer:

This means that the answer is 39

Step-by-step explanation:

if u subtract 78 from 39 u get 39 just as if u add 39 + 39= 78.

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