Find the value for x and y if x+(xy)^1/2+y=14 and x^2+xy+y^2=84​

Answers

Answer 1

Answer:

[tex]xy = 4 [/tex]

Step-by-step explanation:

Taking the first equation , we have ,

[tex]\implies x + (xy)^{\frac{1}{2}} + y = 14 \\\\\implies x + \sqrt{xy}+ y = 14 \\\\\implies x + y = 14 -\sqrt{xy}\\\\\implies (x+y)^2 = (14-\sqrt{xy})^2 \\\\\implies x^2+y^2+2xy = 196 + xy -28\sqrt{xy} \\\\\implies x^2+y^2+xy = 196 - 28\sqrt{xy}[/tex]

Now according to second equation,

[tex]\\\\\implies 84 = x^2+xy+y^2 [/tex]

Plug on this value ,

[tex]\implies 84 = 196 -28\sqrt{xy}\\\\\implies -112 = -28\sqrt{xy}\\\\\implies \sqrt{xy}=\dfrac{112}{28}\\\\\implies \boxed{\boxed{ xy = 16 }}[/tex]

On substituting this value in terms of one variable of the equation you can get the values of x and y .


Related Questions

Hey i need help with this

Answers

Answer:

The x-intercepts are 1 and 3

The y-intercept is 3

The vertex is (2,-1)

The line of symmetry is x=2

Step-by-step explanation:

To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)

45 people in a certain company can work together to finish a project in 15 days. For a project of the same workload, the
company decided to use 15 people. Assume all people have the same level of productivity.
In how many days can this project be completed?
SELECT ONLY ONE
5 days
10 days
22.5 days
45 days

Answers

Given:

45 people will accomplish the given task in 15 days.

To find:

Days taken by 15 people to complete the same task.

Solution:

Since, 45 people of a company can finish a work in 15 days

Therefore, 1 person can accomplish the task in days = [tex]15\times45[/tex]

                                                                                        = [tex]675[/tex] days

15 people will accomplish the same task in number of days = [tex]\frac{675}{15}[/tex]

                                                                                                    = [tex]45[/tex]

Therefore, number of days taken by 15 people to accomplish the same task will be 45 days.

Learn more about the inverse relation,

https://brainly.com/question/9286901

The product of a number and 3 increased by 9 is less than -42


TRANSLATE

Answers

Answer:

3x+9 < - 42

Step-by-step explanation:

5% of a number is 27.
1 %of the same number is 5.4
work out 14% of the number.

Answers

Answer:

75.6

Step-by-step explanation:

100*5.4=540

540/14=75.6

what is the the measure of a 105° angle in radians​

Answers

The third option (7pi/12) will be your answer. Hope this helps

Need help!! ASAPP!

With number #4


thx <3

Answers

Answer:

Clean and Bright

Step-by-step explanation:

For soapy suds, you would do 13×12, would would give you only 156 sq inches. However, with Clean and Bright, you would do 9×13×8 since it is three dimensional. This would give you 936 cubic inches, meaning it holds the most detergent.

3/4(5x - 3) + 8 = 17.

Answers

Answer:

x=3

Step-by-step explanation:

Put the lowest number on the left 2 0 -3 -4

Answers

Answer:

-4, -3, 0, 2

Step-by-step explanation:

Answer:

-4,-3,0,2 :p ...........

Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.


How much floor space will toy chest A take up?

Answers

Answer: 20ft

Step-by-step explanation:

floor space is only worried about the area of the base, so A would be 4*5 or 20

Answer:

20

Step-by-step explanation:

Dos puntos en matematicas

Answers

Answer:

eso no es una pregunta

Step-by-step explanation:

What is the percentage?

Answers

What is the percentage? The percentage is 89

Describe the figure that is created with the points ( -2, -3) ( - 2, 5, (1, -3), and (1, 5)

Answers

Answer:

Hi! The answer to your question is Rectangle

Step-by-step explanation:

↗✧*☆*: .。..。.:*☆♪↗✧*☆*: .。..。.:*☆♪

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

you pick a card at random 4,5,6,7 What is p(5)

Answers

Answer:

1/4

Step-by-step explanation:

probability of picking 5 is 1/4

the number of 5 in the set is 1 and the total is 4

hence 1/4

Answer:

1/4 or 25% chance

Step-by-step explanation:

There are 4 cards in total

There is only 1 5 card.

To find the probability of getting 5:

1/4 = 25%

b1=5,b2=7,h=4
need help plz

Answers

Answer:

[tex]A=24[/tex]

Step-by-step explanation:

For finding the area of a trapezoid you first have to use the correct formula which is  [tex]A=\frac{1}{2}(b_1+b_2)h[/tex].

Now we plug in what we already know.

[tex]A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(5+7)(4)[/tex]

Now we start with the parenthesis

[tex]A=\frac{1}{2}(12)(4)[/tex]

Now if you can, you can multiply the 1/2 and the 12 and the 4 using a calculator or mentally

[tex]A=24[/tex]

Answer:

24

Step-by-step explanation:

I hope this helps!! and Sak! can u pls tlk to me in  my questions

Help please it’s urgent I’ll mark brainliest

Answers

Answer:

A

Step-by-step explanation:

isnt it just A right?

Answer:

i believe its 60. sorry if incorrect

Step-by-step explanation:

21
х
15
X
(Round to the nearest tenth)

Answers

Answer:

that would be 6

x = 6

Step-by-step explanation:

Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?​

Answers

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

• Therefore the volume of one cube :-

[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]

• Therefore the volume of one layer :-

[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]

• Therefore the volume of whole box :-

[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]

Therefore our required answer is 30 inch ³.

15x2=30 polegadas

bhyrhyhybtrhthvtt

In ΔOPQ, o = 100 inches, q = 550 inches and ∠Q=67°. Find all possible values of ∠O, to the nearest degree.

Answers

Answer:

10

Step-by-step explanation:

13 points Please help 8th grade math

Answers

Answer:

4.2

Step-by-step explanation:

Answer:

Volume of the sphere is 2065.24

I have no idea how to calculate the slope of that.

Step-by-step explanation:

3·π·7.93≈2065.23693

Pls Help! Put a proper answer! If you put a link I will report you!
When clearing the fractions in the equation below, what is the Least Common Denominator?

Answers

Step-by-step explanation:

X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1

WILL GIVE BRAINLIEST (URGENT)

Answers

Answer:

C

Step-by-step explanation:

Answer:

C 1/5 is the coorect answer

Step-by-step explanation:

whats

455
x 6
-----------

Answers

Answer:

2730

Step-by-step explanation:

Answer:

2730................:)))))))))))))

Please hurry!! 30 points!! Whats the answer??

Answers

Answer:

2

Step-by-step explanation:

Answer:

11.25 or 11 1/4

Step-by-step explanation:

seeing as how tiled in this sense essentially means 'cut' we have to look at the following rectangle as 2 separate rectangles instead of one whole

so we'll let the biggest rectangle be rectangle one and the smallest rectangle two-

now we need the dimensions of each one-

rectangle one

l=5 w=2

rectangle two

l=5 w=1/4

now let us set up the equation and solve-

a=lw

rectangle one

a=5*2=10

rectangle two

a=5*1/4=1.25

and the last step is to add together the areas of both rectangles

10+1.25=11.25

and since you need your answer as a mixed number the answer is 11 1/4

(to do this you just put 11.25 over 100 and then simplify)

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Pick me chose me love me NOW HELP ME WITH MATH

Answers

Answer:

Same

Step-by-step explanation:

Answer:

W=90

Step-by-step explanation:

THERES a box

find x

help please, asap.

Answers

Answer:

X=58 degrees

Step-by-step explanation:

So We can start by finding the angle thats supplementary to 109.

Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.

109+y=180

Solve that by isolating the y and you would get 71 as the missing side.

Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.

Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.

71+51+x=180

Combine like terms

122+x=180

Isolate the X

x=58

So x is 58 degrees.

Answer:

x = 180 - 51 - 71 = 58°

3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12 6 36 (b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work.

Answers

Answer:

Wait what

Step-by-step explanation:

How many kilograms are equal to
54,308 grams?

Answers

Answer:

54.308 kilograms

Step-by-step explanation:

Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.

a. How many would say they have tried riding a zip line if 100 students were surveyed.

Answers

200$ because that’s the percent

Jeremiah has a bag with 5 red marbles 8 yellow marbles 4 blue marbles and 3 green marbles what is the probability as a percent that he will not pick a green marble​

Answers

Answer:

85%

Step-by-step explanation:

P(not green) = 17/20 which equals 85%

Solve the system using subtraction
X+4y =26
4x+5y=27
Please help explain how to do this with finding correct answer

Answers

The answer is x=9 I’ve just did this problem once you take 4x+5 you’ll get 8
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