If log x+y/5 = 1/2(log x + log y) the find the value of x/y + y/x ?​

Answers

Answer 1

Given that

log (x+y)/5 =( 1/2) {log x+logy}

We know that

log a+ log b = log ab

⇛log (x+y)/5 =( 1/2) log(xy)

We know that log a^m = m log a

⇛log (x+y)/5 = log (xy)^1/2

⇛log (x+y)/5 = log√(xy)

⇛(x+y)/5 = √(xy)

On squaring both sides then

⇛{ (x+y)/5}^2 = {√(xy)}^2

⇛(x+y)^2/5^2 = xy

⇛(x^2+y^2+2xy)/25 = xy

⇛x^2+y^2+2xy = 25xy

⇛x^2+y^2 = 25xy-2xy

⇛x^2+y^2 = 23xy

⇛( x^2+y^2)/xy = 23

⇛(x^2/xy) +(y^2/xy) = 23

⇛{(x×x)/xy} +{(y×y)/xy} = 23

⇛(x/y)+(y/x) = 23

Therefore, (x/y)+(y/x) = 23

Hence, the value of (x/y)+(y/x) is 23.


Related Questions

In 13, write an equation. Complete the table and graph to solve the problem. A puppy weighs 1 pound. What does the puppy weigh after 4 weeks? Puppy gains 1/2 pound each week.

I figured out that the puppy weighs 3 lbs., but I don't get how to graph it. HELP? (this was due a few days ago)

Answers

Answer:

It would be y=0.5x+1

Step-by-step explanation:

1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept

What is 1/4 + 10/16?

Answers

I’m pretty sure ur answer would be 0.875

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]

[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]

[tex]= \frac{14}{16} \\[/tex]

[tex]= \frac{7}{8}[/tex]

hope it helps :)

mark brainliest!

rewrite the two statements as a single biconditional statement: A rectangle is a quadrilateral that has all perpendicular sides. If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Your friend claims that only true conditional statements have a true contrapositive. is your friend correct? explain your reasoning

Answers

A) The single biconditional statement of the given statement is;

A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) The statement made by your friend about only true conditional statements having a true contrapositive is; True

A biconditional statement is one that combines 2 conditional statements that are related to one another. An example of a biconditional statement is;

The polygon has only four sides if and only if the polygon is a quadrilateral.

That biconditional statement has combined two individual conditional statements.

Now, to our question, we are given two statements;

Statement 1; A rectangle is a quadrilateral that has all perpendicular sides.

Statement 2; If all sides of a quadrilateral are perpendicular, then it is a rectangle.

Combining both statements means that the biconditional statement will be; A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) A contrapositive is when we switch and negate the hypothesis and the conclusion of a conditional statement. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

Thus, if the conditional statement is true, then we will have a true contrapositive.

Read more about contrapositives at; https://brainly.com/question/12276922

56 is what percent of 80

Answers

Answer:

70%

Step-by-step explanation:

Therefore, we can conclude that the required percentage is 70% that is 70% of 80 is 56.

Hopes This Helps :)

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

27 children

Step-by-step explanation:

So, if you add 9 +4 = 13. 13 x 3 = 39.

3 times 9 = 27

Hope this helped! Pls mark me brainliest!

Answer:

27 children

Step-by-step explanation:

9+4=13

39/13=3

9x3=27

help pls !! i am confused

1. 2. 3. 4.

Answers

<NOR and <ORS<QRO and < ROP

Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?

Answers

Answer:

[tex]\huge\boxed{\sf x = 26}[/tex]

Step-by-step explanation:

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

Step-by-step explanation:

x=26

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

Hope this helped!

The square of a number minus twice the number is 48. Find the number.

Answers

Answer: 8 or -6

Step-by-step explanation:

x^2 - 2x = 48

x^2 - 2x - 48 = 0

(x-8)(x+6) = 0

x = 8 or -6

Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is
X + 0.2x.
Vhich expression is equivalent and why?
A. 1.02x, because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
B. x(0.2), because the cost of the haircut can be factored out.
O C. 1.2x, because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x, because adding $20 to the haircut is the same as multiplying
the cost by 1.2

Answers

Answer:

C. 1.2x

Step-by-step explanation:

He pays 1 x for his haircut, and an additional 20% on top of that, or an additional 0.2x. If you write that as an expression, you can simplify it like this:

[tex]1x+0.2x\\1.2x[/tex]

You can also work it out by multiplying by 1.2 as stated in answer C. If his haircut costs $10, adding a 20% tip of $2 is the same as multiplying by 1.2.

[tex]10\times1.2=12[/tex]

Find the value of x, y, and z, in the rhombus below.

Answers

Answer:

x = 19, y = -7, z = -18

Step-by-step explanation:

Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.

2x - 9 = 29

2x = 38

x = 19

-3y + 8 = 29

-3y = 21

y = -7

-2z - 7 = 29

-2z = 36

z = -18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

All the sides of the rhombus are congruent with each other.

Then the equations are given below.

2x - 9 = 29

-3y + 8 = 29

-2z - 7 = 29

Simplify the first equation, then we have

2x - 9 = 29

2x = 38

x = 19

Simplify the second equation, then we have

-3y + 8 = 29

3y = - 21

y = -7

Simplify the third equation, then we have

-2z - 7 = 29

2z = - 36

z = - 18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

can someone help me with this

Answers

Answer:

b

Step-by-step explanation:

The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.

Answers

Answer:

Rhombus

Step-by-step explanation:

The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.

Find the m, b, and write the equation for the following graph:

Answers

Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

The solution set of inqulity 4>-2x in R is …

Answers

[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]

help I have foreign parents.....they will literally disown me if I fail - ♥️​

Answers

Answer:m∠1 = 51°Step-by-step explanation:

We know that:

Total degrees of triangle: 180°

Using this clue, we can find m∠1.

=> 67 + 62 + m∠1 = 180=> 129 + m∠1 = 180=> m∠1 = 180 - 129=> m∠1 = 51°Conclusion:

We have finally found the answer to the missing angle. The answer is 51°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

can you please help me​

Answers

Answer:

Step-by-step explanation:

1. HI // KL , J is midpoint of  HL     1. Given

2. ∠IHJ ≅ ∠JLK                             2. Alternate interior angles are congruent

3. ∠IJH ≅ ∠KJL                              3. Vertically opposite angles

4. HJ ≅   JL                                     4. Given

5. ΔHIJ ≅ ΔLKJ                              5.  A S A congruent

                                                             (Angle Side Angle)

the product of 20 and z

Answers

Answer:

20z

Step-by-step explanation:

just times 20*z which give you 20z

At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?

Answers

Answer:

I would expect 1 person to want mustard.

Explanation:

6 is half of 12, and 1 is half of 2 :)

Hope this helped

I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six

Is (3, 0) a solution to the equation y = 5x + 3? *
1 point

Answers

Answer:

no

Step-by-step explanation:

Substitute x = 3 into the equation and if the result is 0 then it is a solution

y = 5(3) + 3 = 15 + 3 = 18 ≠ 0

Then (3, 0 ) is not a solution to the equation

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives. Number of Hours vs. Amount Left in Tank Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0 Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank? g = 18 â€" 2h; 18 gallons g = 18 â€" 2h; 16 gallons g = 3h 3; 30 gallons g = 3h 3; 12 gallons.

Answers

The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.

Given :

The table below shows the amount of gas left in her tank as she drives.Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0

The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:

Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]

Step 3 - Simplify the above equation.

[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]

Step 4 - Now, substitute the value of (h = 0) in the above equation.

[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

g = 18 – 2h; 18 gallons

Step-by-step explanation:

The answer above is correct.

what is 7x5 and ummmmmm

Answers

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

In two or three sentences, summarize what the essay suggests could help women succeed in

business. How does the summary help you identify Sandberg's message, audience, and

purpose?

Answers

The essay suggests women first need to end with internal barriers to succeed in business and this will later destroy external barriers. This helps identify the author's main message, audience, and purpose because it shows the main idea of the essay.

Lean In is an essay by Sheryl Sandberg about gender inequality and the way this inequality has prevented women from being successful and represented in specific areas including government and business.

About business, Sandberg suggests women are quite limited if compared to men due to sexism, sexual harassment, and even internal barriers women create. To stop this situation the author proposes women need to destroy internal barriers such as:

Believing they should do most of the housework and childcare-Believing they cannot be as successful as other women.Holding themselves due to unequal conditions.

Moreover, this idea helps identify other elements of the text by stating the main purpose.

Main message: Women need to destroy mental and internal barriers.Audience: Women.Purpose: To inspire women to end inequality.

Note: This question is incomplete because the text it refers to it is not given; here is the information about the text.

"Lean In: Women, work, and the will to lead" by Sheryl Sandberg.

Learn more about sexism in: https://brainly.com/question/6022376

Please help me

if v=6, w=-9, and x=7

Answers

Answer:

im sorry but r u even trying..... bc i just answer one of ur questions

Step-by-step explanation:

-19

(-9)^2 = 81
3(6) + (7) = 25
(-9) + (6-1) = -4

Now solve. 81-5= 76
76\ -4 = -19

Analyze the student’s work. Is the answer correct? Explain. No, the student should have added 3 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths. No, the student should have subtracted 2 from â€"6 to find the distance. No, the student should have added 2 at the end to add to the starting point. Yes, the student’s answer is correct.

Answers

The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5

From the complete question, the given parameters are:

[tex]Ratio =3 : 4[/tex] ---- the ratio

[tex]A = -6[/tex]

[tex]B = 2[/tex]

The student's steps are as follows:

[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]

[tex]C = \frac 34 (8) + (-6)[/tex]

[tex]C = 6 -6[/tex]

[tex]C = 0[/tex]

To determine the position of point C from the given ratio, we make use of the following quotient;

[tex]Position = \frac 3{3 + 4}[/tex]

[tex]Position = \frac 37[/tex]

This means that, the student ought to add 3 and 7, to get the total number of section.

Hence, the student's work is incorrect, and the reason is (a)

Read more about partitions at:

https://brainly.com/question/3573606

Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

edge 2022

Write an equation of the line that passes through (0,5.2) and (-1.5,1).
y=

Answers

Answer:

Step-by-step explanation:

Given:

y1 = 5.2

y2 = 1

x1 = 0

x2 = -1.5

Solution:

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

m = ( 1 - 5.2 ) / ( -1.5 - 0 )

m = -4.2 / -1.5

m = 2.8

then

y - y1 = m ( x - x1 )

y - 5.2 = 2.8 ( x - 0 )

y - 5.2 = 2.8x - 0

y = 2.8x + 5.2

If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number?.

Answers

The value of y will be 18 or 144.

Given information:

The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].

It is required to find the values of y which are whole numbers.

Now, factorize 144 as,

[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]

So, for the value of given expression to be a whole number, the value of y should be,

[tex]2\times3\times3=18[/tex] or 144.

For the above values of y, the given expression will be,

[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]

Therefore, the value of y will be 18 or 144.

For more details, refer to the link:

https://brainly.com/question/17429689

Answer:

Its B. 2

Step-by-step explanation:

Edge

how do you estimate the car

Answers

Answer:

The car value is 9100

Step-by-step explanation:

you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.

hope that helps!

Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61​

Answers

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

The letter in front of a number, showing multiplication.


A.) Combining like terms
B.) Coefficient
C.) Distributive property
D.) Like terms

Answers

A it’s A because you’re combining those two things to get your answer

Please help!!!!!!!!!!!!!

Answers

9 + (-3) = 6
Because based on the image you add 9 and subtract 3

Hope you find this helpful!
Brainliest is much appreciated!

Answer:

B and C

Step-by-step explanation:

look at comments

Other Questions
What is the equation of the line with a slope of 14 and a y-intercept of 3? A. y=3x+14 B. y=14x+3 C. y=14x3 D. y=3x14 PLZ I NEED HELP 18 POINTSWhich of these was NOT a goal of the Spanish conquistadors?converting indigenous people to Christianitygaining fame and glory by conquering new lands for Spainsearching for gold and other valuable metalsfinding a sea route to the East Indies The amount of money in a savings account is an example of which of the following?a. investment assetb. liquid assetC. long term assetd. use asset A nosotros ______ gusta esquiar. Evaluate.(16+0.6(13)+1)2What is the value of the expression?Enter your answer as a simplified fraction in the box. 10x-9y=24y= x-2 find x and y Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length The mice's hiding spot is behind a panel in the pantry. Late at night, they comeout to gather crumb's left on the floor. What is the mistake? Comparing and Contrasting As shownby your model, how does the ocean floorclose to the center slit differ from theocean floor near a side slit? How does thisdifference affect the depth of the ocean? Is ebola an envelope virus? if so why? which statement best describes the first step to the equation -11-3x=44-2xA. add 3 to both sides B add 2 to both sides C.get the variables on one side Given that ABC is an isosceles triangle with ABAC and AD bisecting BAC, which of the following proves that ABDACD? =WHOLE NUMBERS AND INTEGERSWord problem on unit rates associated with ratios of wCharlie types at a rate of 14 words per minute.How many words does he type in 2 minutes?i wordsOBS? Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v? Which sign makes this number sentence true?|-56|___ 1561A)>B) Select the correct answer. Why would someone choose to invest rather than depend only on savings? A. An investment account provides regular income, while money held in a savings account may decrease. B. An investment account has the potential to earn more money than a savings account. C. An investment account has a fixed maturity date, but a savings account doesn't. D. There's less risk of losing money held in an investment account than in a savings account. Distinguish between principles, guidelines and standards, using examples of each to illustrate Look at this piece of artwork by Norman Rockwell titledArtist Facing Blank Canvas made in 1938Interpret and evaluate this artwork A can of soup is a cylinder with diameter 7 cm.The can is 10 cm highThe can is full of soupsoupThe soup is poured into a saucepan.The saucepan is a cylinder with diameter 12 cm.Work out the depth of the soup in the saucepan.Give your answer correct to 1 decimal place. How do you add fractions with a whole number? Please explain the rules of it too! To be marked as brainliest