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

12 6 12 24
Select one:

A. 240 square units
B. 252 square units
C. 180 square units
D. 216 square units​

Answers

Answer:

B

Step-by-step explanation:

divide the given polygon into two (a square and a trapeziumarea of trapezium=1/2(a+b)×b 1/2(12+6)×12 ans 108square unitarea of a square=s×s 12×12 =144square unitadd 108+144=252square unit

A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.

Answers

Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

The cost of producing x cars is given by:

[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]

So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]

300 cars must be made to minimize the unit cost

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

B

Step-by-step explanation:

That's the only answer that represent the 25% prize rate

name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.

Answers

ABC, CBA, 1, B

the angle is obtuse

15 + 20

Create an equivalent expression in factored form

_____ (______ + ______)

Answers

Answer:

5(3+4) is your answer ☺️☺️☺️

15 + 20 = 35

so ( x = 15)  + ( z +=20) = 35

x + z = 35 mark me the brainliest

A rectangular shelf with an area equal to x^2-16x+60 square units could have which possible dimensions for length and width

Answers

Answer:

Step-by-step explanation:

x²-16x+60

=x²-6x-10x+60

=x(x-6)-10(x-6)

=(x-6)(x-10)

so dimensions are x-6 and x-10.

1. Explain why it makes sense to call the following expression a “perfect
square." *
x2 + 20x + 100

Answers

Answer:

because all sides are equal

The expression is a perfect square of (x+10)².

What is perfect square?

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

Given that the expression, x² + 20x + 100,

So, writing the expression as expanded form,

x·x + 2·10·x + 10·10

x² + 2·10·x + 10²

We see it is in the form of a² + 2ab + b²,

We know that, a² + 2ab + b² = (a+b)²

So,

x² + 2·10·x + 10² = (x+10)²

Hence the expression is a perfect square of (x+10)².

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If 2^2x = 2^3, what is the value of x?

Answers

Answer:

X = 2 If the exponent 2 in the 2 does not have the x

Step-by-step explanation:

Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18

Answers

Answer:

j(x)=a(x+9)(x-2)

j(x)=1(x+9)(x-2) < final answer

F(x)=x^2. what is g(x)? point given is (4,1)
a. g(x)=(1/4x)^2
b. g(x)=4x^2
c. g(x)=1/4x^2
d. g(x)=(1/2x)^2

Answers

Answer:

It is (a)

[tex]g(x) = ( { \frac{1}{4} x})^{2} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

None of the given options are correct.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.

We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.

One possible equation for g(x) that meets this condition is:

g(x) = a(x - 4)² + 1

where a is some constant that we need to determine.

Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:

g(4) = a(4 - 4)² + 1 = 1

Simplifying this equation, we get:

a = 0

Therefore, the equation for g(x) is:

g(x) = 1

So the correct answer is (none of the above), because none of the given choices matches this result.

Learn more about function here:

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56,316 divided by 6 need step by step instructions

Answers

You got a calculator on ya phone right?

Answer:

9,386

Step-by-step explanation:

56,316 ÷ 6 = 9,386

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

What is the equation of the graph below?
y = sec(x) + 2
y = csc(x) + 2
y = csc(x + 2)
y = sec(x + 2)

Answers

Answer:

y = csc(x) + 2

Step-by-step explanation:

The equation for the given graph is y = csc(x) + 2

What is an equation of a graph?

'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'

According to the given problem,

We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]

The periodicity of csc(x) is 2π,

                                                                       ⇒ [tex]\frac{2\pi }{1}[/tex]

                                                                       = 2π

Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.

Learn more about equations of graphs here: https://brainly.com/question/24866278

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Plz I need to know this

Answers

it would be a triangular prism

Answer:

triangular prism

Step-by-step explanation:

I need help figuring out the input and output and I have been struggling with it so muchh!!

Answers

Answer:

4=4

5=9

Step-by-step explanation:

سا
What are the coordinates of A' (A prime) after translating the figure 3 units right and 7 units down?

Answers

I’m pretty sure the answer is -4,-5

ye I need some help, please

Answers

Answer:

(1,0) (2,1) (4,4)

y<x+1 (for the dashed line)

y≥-2x+2 (for the solid line)

Step-by-step explanation:


I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa. PART 3

Answers

Answer:

1) AM, MY, AY

2) GY, GQ, QY

3) QM, QG, MG

4) YX, YG, XG

Step-by-step explanation:

In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.

Using this concept, we can answer the questions;

1) Largest side = AM

Smallest side = AY

Arranging from largest to smallest side;

AM, MY, AY

2) Largest side = GY

Shortest side = QY

Arranging from largest to smallest side;

GY, GQ, QY

3) Largest side = QM

Shortest side = MG

Arranging from largest to smallest side;

QM, QG, MG

4) Largest side = YX

Smallest side = XG

Arranging from largest to smallest side;

YX, YG, XG

what is the gfc of 36 and 48 LIMMITED TIME HELP

Answers

Answer:

i do not know im rackin up these brainly points ya hear

Step-by-step explanation:

Answer:

12 is the answer

hope his helps

have a good day :)

Step-by-step explanation:

5x^{2}-44x+120=-30+11x i am confuseddddd

Answers

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question

A researcher conducts an experiment using 10 loads of white shirts with similar stains. The loads are divided, and 5 of the loads are washed with name-brand detergent, while the other 5 are washed with store-brand detergent. Volunteers are asked to assess the cleanliness of the shirts.

What are the experimental units in this setting?

the types of detergent
the 10 loads of shirts
the volunteers who assess the stains
the machines used to wash the shirts

Answers

Answer:

the volunteers who assess the stains

Step-by-step explanation:

Hope this helps

Answer:

the types of detergent i think

Step-by-step explanation:

Find the value of x.

Answers

answer: x=66
explanation: x+(x-20)+(2x+10)+(x+40)=360
5x+30=360
5x=330
x=66

Find the product. Simplify.
(x + 7)(x + 4) =

Answers

Answer:

Hi! The answer to your question is [tex]x^{2}[/tex]+11x+28

Step-by-step explanation:Answer:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

I am completely lost someone help!:)

Answers

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Given

The above triangles

Required

Find x

The two triangles are similar. So we make use of the following equivalent ratios, to solve for x

[tex]XZ : ZY = JL : LK[/tex]

Replace each side with their measurements

[tex]13 : 10 = x : 20[/tex]

Express as fraction

[tex]\frac{13}{10} = \frac{x}{20}[/tex]

Solve for x

[tex]x = \frac{13}{10} * 20[/tex]

[tex]x = 1.3 * 20[/tex]

[tex]x = 26[/tex]

pls help!!

What is the equation of a line that is parallel to the line 4x + y = 8 and has a y-intercept of 12?
A. x + 3y = 2
B. 4x + y = 12
C. 12x + y = 8
D. x - 4y = -48

Answers

Answer:

B. 4x+y=12

Step-by-step explanation:

You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.

Will give brainliest for correct answer

Answers

Answer:

3

Step-by-step explanation:


In Winter of 2020 there were 20 total inches of snow. In Winter 2021 there were 38 total inches of snow. What was the percer
increase in inches of snow from 2020 to 2021?

Answers

To find the answer, you need to subtract the total inches of snow in 2021 by the total inches of snow in 2020.

So 38 -20= 18

Therefore,  from 2020 to 2021. The snow increased by 18 inches.

Hope this helped!

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart

Step-by-step explanation:

sry if I'm wrong but it would be one of the most valid answers

Answer:

3/10

Step-by-step explanation:

#2, 7 and 8 are the valid 3 goal trials out of 10

Hey can someone please help me with this?
I can’t exactly figure it out.
Thank you in advance.

Answers

Answer:

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 1/4

at least two tails - 1/2

Step-by-step explanation:

8 Possible outcomes

hhh, hht, hth, htt, ttt, tth, thh, tht,

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 2/8=1/4

at least two tails - 4/8=1/2

Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:

Final equation (\angle∠ of depression = )

Answers

Answer:

Drip is the only answer

Step-by-step explanation:

Ms. DeVoto and Mr. Kim share a birthday, but Mr. Kim is 7 years older. If Ms. DeVoto is D years old, write an expression to show how old Mr. Kim is.

Answers

Answer:

D+7=K

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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