what is the number which is to be added with 49x square + 4y square to get a perfect square

Answers

Answer 1

Answer:

The number which should be added  with 49x square + 4y square to get a perfect square is 28xy

Step-by-step explanation:

We need to find the number which is to be added with 49x square + 4y square to get a perfect square.

The expression given is: [tex]49x^2+4y^2[/tex]

For the expression to be perfect square it should be of form: [tex]a^2+2ab+b^2=(a+b)^2[/tex]

Now, we are given [tex]49x^2+4y^2[/tex] and we need to find the middle term

So, solving:

[tex]49x^2+4y^2\\=(7x)^2+(2y)^2+2(7x)(2y)-2(7x)(2y)\\=7x^2+28xy+(2y)^2-28xy\\=(7x+2y)^2-28xy[/tex]

The number which should be added  with 49x square + 4y square ([tex]49x^2+4y^2[/tex]) to get a perfect square is 28xy


Related Questions

i need help!
number 14

Answers

Answer:

I’m gonna edit This answer give me a sec to do the work

Step-by-step explanation:

Answer:

1. One Solution

2. No Solution

3. Infinitely Many

Hope this helps :)

Solve for a and b in the picture.

Answers

Answer:

a=13 b=10.5

Step-by-step explanation:

jshshdvshxhshxhdbshsgxghsgxghxhsgch

What is the range of the graphed function?
{x |1< x < 5)
{y |1 < y <5}
{x | x is a real number}
{y|y is a real number}

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]V=\sqrt[3]{x-1}+3[/tex]

Determining the domain:

We know that the domain of a function is the set of input values for which the function is defined.

From the given graph, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain is:

{x | x is a real number}

In other words:

[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

It is clear from the graph that the range can be any real number.

i.e. the range is:

{y|y is a real number}

In other words,

[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

6. consider neyman-pearson criteria for two cauchy distributions in one dimension assume a zero-one error loss, and for simplicity a2 > a1, the same "width" b, and equal priors.

Answers

Given X and Omega, I has a one-to-one advantage versus Isobe. When B square need L F X. In part, determine the explicit integration given that the probability of X DX from minus infinity to infinity is one over Pi B. When you hold square dx, you get X minus A. multiply by B S Y One pie divided by two men plus pi divided by two plus five divided by two equals 1/5 times two multiplied by two. As a result, (u) is one. This is the answer to question B.

We're five B times 1/1 plus X here, one. Menace ai prize by the entire square multiplied by one or two. We are one Menace X -2 divided by B whole square times one or two when we are five times one. As a result, X minus one equals plus minus x minus a one. So, in this case, X equals one s squared divided by two. So one is a plus and one is a minus.

What is a dimension?

A dimension is a measurement that includes length, width, and height. When you discuss an object or location's dimensions, you're referring to its size and proportions.

Dimensions are just the different aspects of what we perceive to be reality.

We are acutely aware of the three dimensions that surround us on a daily basis: the length, width, and depth of all items in our universes, as well as the one dimension of time.

But here's the prospect that there are many more dimensions out there. According to string theory, one of the most influential physics theories of the last half-century, the universe has ten dimensions.

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The complete question is:

Consider Neyman-Pearson criteria for two Cauchy distributions in one dimension

p(xlu;) i=1/πb·1/ 1 + (ₓ₋ₐ₁/b)²        i=1,2

Assume a zero one error loss and for simplicity a₂>a₁ the same "width" b and equal priors

1) Suppose the maximum acceptable error rate for classifying pattern that actually in ω₁ as if it were in ω₂ in E₁. Determine the decision boundary terms of the variables given.

2) For this boundary; what is the error rate for classifying ω₂ as ω₁?

3) What is the overall error rate under zero-one loss?

4) Apply your results to the specific case b = 1 and a₁ = -1, a₂ = 1 and E₁= 0.1.

5) Compare your result to the Bayes error rate (i.e , without the Neyman- Pearson conditions)

the greatest common divisor of positive integers $m$ and $n$ is $8$. the least common multiple of $m$ and $n$ is $112$. what is the least possible value of $m n$?

Answers

Given the greatest common divisor and the least common multiple, the least possible value of mn is 896

How to determine the least possible value of mn?

The given parameters are:

M and N are positive integers

Greatest common divisor =  8

Least common multiple = 112

As a general rule;

The product of the greatest common divisor and the least common multiple of numbers represent the product of the numbers

This means that

mn = Greatest common divisor * Least common multiple

So, we have

mn = 8 * 112

Evaluate

mn = 896

Hence, the least possible value of mn is 896

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The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline. Write an equation that represent this graph.

Answers

9514 1404 393

Answer:

  y = -3x +9

Explanation:

Which expression is equal to
[tex]\frac{7}{8}[/tex]?
A.7 divided by 8
B.8x7
C.8 divided by 7
D. 7x8

Answers

Answer: A

Step by step explanation:

Help for weather science

Answers

a. land reduces wind power
It is A because it Acts like a bumpy surface

The graph above shows the costs of two phone plans. How many minutes does a person need to call each month so that Plan B is the less expensive plan to use?

A. Less than 10 minutes

B. More than 10 minutes but less than 20 minutes

C. More than 30 minutes but less than 40

D. More than 40 minutes

Answers

Answer:

uhm, i need this answer also

Step-by-step explanation:

did you ever get the answer ? if so could you be kind enough to give it to me pleasee

2. If the same ball is dropped from 10 feet and is caught exactly at the highest point after the 25th bounce, what is the
total distance traveled by the ball? Use what you learned from the last problem.
1-

Answers

In linear equation, 1.05 feet  the total distance traveled by the ball.

What are a definition and an example of a linear equation?

A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

dropped from 10 feet and caught at highest

So ,   10 / 9 = 1

 h = v² / 29  = 0.05 feet

  1 = 0.05 = 1.05 feet

Learn more about linear equation

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ABCD and CDEF are two parallelograms
constructed on both sides of (CD).
Prove that ABFE is a parallelogram.​

Answers

Answer: ABFE is a parallelogram

Step-by-step explanation: If ABCD uses the same angles (AB) as ABFE does this can only mean that they are equal, therefore they are both parallelograms

Hope this Helps :)

Can someone explain?

Answers

87
Because the ratio is 3:7
So we plug in 203 for 7
3:7=?:203
7 goes into 203 29 times
29*3 is
87
it is 87! you put 7 into 203 29 times :))

If there are 23 members of NCT 2020 how many ships (pairings) can be made? I actually know how to do this, I'm just too lazy.

Answers

Answer:

11 pairs

Step-by-step explanation:

You can fit 11 pairs of 2 into 23 with 1 left over

11

but remember we are getting 5 new members in February

so a lot more  

Luke rides his bike to his aunt's house. He travels 10 mi/h. Because it starts to rain, Luke's aunt drives him home in a car traveling at 25 mi/h. It takes Luke 1.5 h longer to get to his aunt's house than to return home. How many hours did it take Luke to ride to his aunt's house?

Answers

Answer:

2.5 hours

Step-by-step explanation:

Let t = time in hours for reach friend's house

(t-1.5) = time for friend to drive her home

:

Both trips are the same distance, Write a distance equation from this fact:

Distance = speed * time

Drive distance = Bike distance

Equation-

step1)   25 (t-1.5) = 10t          (here u multiply 25 by t and 25 by 1.5)

step2)  25t - 37.5 = 10t        (move 37.5)          

step3)  25t - 10t = +37.5      (subtract 25t from 10t)

step4)  15t = 37.5                 (divide 37.5 by 15)

step5)  t = 2.5                     (time it took Luke to reach his aunt's house)

Help me with this problem please

Answers

you’re solving for y so it would be B

help pls Ix would really appreciate

Answers

Answer:

B

Step-by-step explanation:

g(2)=-7 because -(2)-5=-7

f(-7)=-18 because 2(-7)-4=-18


Suppose that in 8 minutes, 64 gallons of water came out of a pipe.
What was the rate in gallons per minute?
gallons per minute

Answers

Answer:

8 gallons/minute

Step-by-step explanation:

8 minutes= 64 gallons

1 mintes = x

8x= 64 gallons

x=8 gallons

8 gallons/minute

The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q is graphed at (n,-2). The distance from point P to point Q is equal to the distance from point P to point R. What is the from point P to point Q? What is the value of N? Explain how you determined the distance from point P to point Q, and the value of N.

Answers

Answer:

n = 5

Step-by-step explanation:

Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

[tex] \sqrt{ {( n - n}) ^{2} + {( 3- ( - 2) })^{2} } [/tex]

[tex] = > \sqrt{ {(3 + 2)}^{2} } = \sqrt{ {5}^{2} } = 5[/tex]

Distance between P & R =

[tex] \sqrt{ {(n - 0)}^{2} + {(3 - 3)}^{2} } [/tex]

[tex] = > \sqrt{ {n}^{2} } = n[/tex]

But in question it is given that distance between P & Q is equal to the distance between P & R. So,

[tex]n = 5[/tex]

The local school district ordered 755 decks of cards for teachers to use in their math classes. Each deck comes with 52 cards. How many cards are in all of the decks combined?

Answers

Answer:

39,260

Step-by-step explanation:

755 * 52 = 39,260

Answer:

755x52=39260 fhdhdhdhddddndnd

Which could be the function graphed below?

Answers

Answer:

sqrt(x+4)

Step-by-step explanation:

the graph is sqrt(x) translated 4 to the left, so +4

The function graphed is option D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left.

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The function is translated horizontally to the left. the base function is [tex]y = \sqrt{x}[/tex].

A. f(x) [tex]\sqrt{(x-5)} + 1[/tex], the graph should be translated horizontally 5 units to the right.

It's not the case and the translated 1 unit vertically.

B. [tex]f(x) = \sqrt{(x-2)}[/tex] the graph should be translated horizontally 2 units to the right. It's not the case.

C. [tex]y = \sqrt{x}[/tex], the graph should start at x=0. It's not the case.

D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left. So this is the case.

Therefore, the function graphed is option D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left.

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which property is used in the problem below
2(x+4)=2x+8​

Answers

Answer:

Distributive property

The Distributive property. 2(x+4) got turned into 2x+8. The distributive property does this: 2 times x plus 2 times 4.

Step-by-step explanation:

Answer:God bless you and your family and friends and stay safe and good luck! :)

Step-by-step explanation:

The answer is C) The Distributive property.

2(x+4) got turned into 2x+8.

The distributive property does this:

2 times x plus 2 times 4.

2 times x = 2x

2 times 4 = 8.

So the answer is 2x+8.

C) Distributive property is right.

What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?

Answers

Answer:

22 meters per second

Step-by-step explanation:

If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.

another fraction operation, what is 1/4 divide by 1/4

Answers

answer

624/10000 or 39/625

Answer:

The answer is 1

:D

Step-by-step explanation:

1/4 ÷ 1/4 =  1/4 ÷ 4/1 (flip the recipocal) = 1

4 angle names please

Answers

Answer:

Acute angled

angle RQS

angle SQR

angle 1

angle Q

I had told five for convenience

saleswoman earns 9% commission on all the merchandise that she sells. Last month she sold $8000 worth of merchandise. How much commission (in dollars) did she earn last month?

Answers

Answer:

8720

Step-by-step explanation:

If it's anything like compound / simple interest here's how to do it:

The multiplier for +9% is 1.09

8000 x 1.09 = 8720

The sum of 333 consecutive odd numbers is 183183183.
What is the second number in this sequence?

Answers

The second number is 8 cause it’s the second one

Answer: if this is khan academy the answer is 61

Step-by-step explanation:

a student earned a grade of 80% on a math test that had 20 problems how many problems on this test did the student answer correctly

Answers

Answer:

16

Step-by-step explanation:

To find 80% of 20, multiply .80 x 20

.80×20 = 16

This is how you multiply percentages--put the decimal point 2 places to the left, then multiply.  In this case, you're looking at 80%, so move the decimal point two places to the left

80.0 becomes .80

Then multiply that by the number you're trying to find the percentage of

Anybody have unwanted pets in adopt me? my only pet isn't for trade​

Answers

Tip: Try taking care of, that pet and make more money to buy eggs to trade or hatch and thats an easy way to get rich if you don't have robux

Step-by-step explanation:

No, sorry. But I have a tip/hack for everyone! (I don't know if it still works)! Get 3 cracked eggs, and 1 royal egg... take care of them all until their last need. Hatch your cracked eggs first, THEN the royal egg last ... there should be a legendary in the royale egg! I tried this two times and I got a legendary each time! <3

Solve the following problem: Find x, y

Answers

Answer:

x=? y=?

Step-by-step explanation:

these two triangles are similar so since the bottom side was 8 and became 10 it added 2 so therefore if you add 2 to the 5 and 7 you get

5+2=7

7+2=9

The value of 'x' is 5/4 and the value of 'y' is 7/4 and this can be determined by using similar triangle properties.

Given :

Two triangles are given in the figure.

The following steps can be used in order to determine the value of 'x' and 'y':

Step 1 - According to the given figure, both the triangles are similar.

Step 2 - So, the value of 'x' and 'y' can be calculated as:

[tex]\dfrac{5}{5+x}=\dfrac{7}{7+y}=\dfrac{8}{10}[/tex]    --- (1)

Step 3 - Now, solve the above equation for 'x'.

[tex]\begin{aligned}\\{\dfrac{5}{5+x}&=\dfrac{8}{10}\\50&=40+8x\\x&=\dfrac{5}{4}\\\end{aligned}[/tex]

Step 4 - Now, solve the equation (1) for 'y'.

[tex]\begin{aligned}\\{\dfrac{7}{7+y}&=\dfrac{8}{10}\\70&=56+8y\\y&=\dfrac{7}{4}\\\end{aligned}[/tex]

The value of 'x' is 5/4 and the value of 'y' is 7/4.

For more information, refer to the link given below:

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show your work plzzzz help i literally beg

Answers

Answer:

Would be 75.36

Step-by-step explanation:

Formula: V = πr^2 h (replace pi with 3.14)

(r × r)

= 3.14 × r^2 × h

(r^2 × h = #)

= #π (# × π)

= V

Answered Form: V = π2^2 6

(2 × 2)

= 3.14 × 2^2 × 6

(4×6 = 24)

= 24π (24 × 3.14)

V = 75.36

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