if x²+y²=6xy then prove that 2log(x+y)=logx+logy+3log2​

Answers

Answer 1

Answer:

Given that

x² + y² = 6xy

or, (x + y)² - 2xy = 6xy

or, (x + y)² = 8xy

or, (x + y)² = 2³xy

Taking (log) in both sides, we get

log (x + y)² = log (2³xy)

or, 2 log (x + y) = log (2³) + logx + logy

or, 2 log (x + y) = 3 log2 + logx + logy

Hope this helps :D


Related Questions

Enter the solution to the equation in the box.
2(x−3)=8(x−6)

Answers

Answer:

x=7

Step-by-step explanation:

2(x−3)=8(x−6)

2x-6=8x-48

2x-8x=-48+6

-6x=-42

x=7

answer correctly and i will give brainliest

Answers

Answer:

$25 per month

Step-by-step explanation:

What we know:

3 months of a gym membership costs $75.

6 months cost $150.

To find the unit rate, divided 75 by 3, or 150 by 6.

150/6 = 75/3 = 25/1 = $25 per month

Tricia drove 102 miles on three gallons of gas. How far can she drive on seven gallons of gas ?



Carli can walk 40 dogs in 8 hours how many dogs can she walk in 12 hours ?

Answers

Answer:

1. 255 miles

2. 60 dogs

What is the product??????

Answers

Answer:

but the answer is 0

Step-by-step explanation: i don't know the step by step thing ok

y = 4x 2 is shifted 5 units to the right

Answers

Answer:4

Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.

Answer:

y= 4(x-5) 2

Step-by-step explanation:

It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.

HELP WILL GIVE BRAINIEST IF ANSWERED FAST!!! HELP NOWWWW

Answers

33

Since it is parallel, that means that the line will have the same slope. Just simplify and add the x values in the first equation to get 33x.

Find all real values of x that satisfy the equation x^2 - 7x = 98.

Answers

Answer: x=14,-7

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPP MEEEEEEEEEEEE IM BEING TIMED
Train B travels 140 miles which is 40% of the total distance it will travel. What is the total number of miles Train B will travel? Show your work or explain how you found your answer.

Enter your answer and your work or explanation in the box provided.

Answers

Answer:

56

Step-by-step explanation:

i dont have time either to how work

Answer: hi hello hola

Step-by-step explanation:

PLEASE HELP! I WILL GIVE BRAINLIEST!
According to the formula pi r squared, for a circle with a radius of one unit the area equals pi.
For a circle with a radius of two units the area equals four pi. Ans = 16 pi units squared
For a circle with a radius of three units the area is nine pi.
A = 25 pi units squared, 36 pi units squared, 49 pi units squared... to 100 pi units squared.

So try this... given the formula for circumference of a circle C = pi * d or C = 2 p* r

What are the circumferences for these circles....
r = 1 unit
r = 2 units
r = 3 units
Now finish the pattern to r = 10 units...

Answers

Answer:

2pi, 4pi, 6pi, 8pi, 10pi, 12pi, 14pi, 16pi, 18pi, 20pi

Step-by-step explanation:

Formula used=2p*r

Mr. Kelly has 50 coins, all of which are either nickels or dimes. They have a
value of $3.85. Set up a system of equations to find out how many of each coin
Mr. Kelly has.

Answers

So i think its $4.35.

Step-by-step explanation:

I did addition to find out this answer my calculations seem to be correct.

$3.85 + 50 cents = 4 dollars and 35 cents

b
-
27 =43

I would really appreciate your help

Answers

Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

HELP HELP PLEASE PLEASE

Answers

The answer would be 2010 I think! im SO sorry if its wrong! :3

The answer is 2010 I’m not sure tho

Solve for x
9(x-1)=81
x=

Answers

Answer:

10

Step-by-step explanation:

9(10-1)=81

Distributive property
9x - 9 = 81
9x = 90
Divide by 9
Solution: x = 10

THIS IS VERY CONFUSING PLEASE HELP BRAINLIEST IF CORRECT 60 POINTS DONT ANSWER IF YOU DONT KNOW THE ANSWER OR REPORTED PLEASE DO NOT
which statement is correct?
A.29 > | -29 |
B.| -22 | 22
D. | -29 | < | 0 |

Answers

Answer:

see below

Step-by-step explanation:

A.29 > | -29 |

Absolute value means take the non negative value

A.29 >  29

This is not true

B.| -22 | 22

Absolute value means take the non negative value

22 You do not have an inequality so we cannot solve this

D. | -29 | < | 0 |

Absolute value means take the non negative value

29 < 0

This is not true

Since A and D are not true,  B must be true

convert the binary number into decimal =11³​

Answers

010100110011

i hope this was helpful!

The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3).


What are the coordinates of the centroid of triangle ABC?

Please Answer with work shown! I know that the answer is (7,5) But can some one show the work for it?
If you answer it and show the work for me then I will give you the brainiest question reward!
Please Help!

Answers

Answer:

(7 , 5)

Step-by-step explanation:

Add all the x-axis then divide by 3

7 + 3 + 11 = 21

21/3 = 7

Add all the y-axis then divide by 3

9 + 3 + 3 = 15

15/3 = 5

So answer will be (7,5)

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum o

The coordinates of the centroid is (7, 5).

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The vertices of the triangle in the diagram below are:

A(7,9), B(3,3), and C(11,3).

Now,

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum of the y-coordinates of the vertices ÷ 3

Now,

x = 7 + 3 + 11 / 3 = 21/3 = 7

y = 9 + 3 + 3 / 3 = 15/3 = 5

Now,

The coordinates of the centroid is (7, 5).

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

20 points!

24, and 25 has to be in simplest form.

JUST NEED HELP ON 24 AND 25!

Answers

Answer:

I think they would be 7 4/6 & 5 2/8

Step-by-step explanation:

srry if im late!

Walter is planning to invest in a savings account which pays annual interest compounded monthly. His projected account balance after
tyears is given by the expression below.
3,570(1 + 0.03/12)^12t
Which of the following statements best describes the expression?

Answers

Answer:

b

Step-by-step explanation:

It is D because I said soo

8 more than a third of a number

Answers

Answer:

8 + 1/3n

Step-by-step explanation:

Which equation represents a linear function? (5 points)

Equation 1: y3 = 2x + 1
Equation 2: y = 3x + 1
Equation 3: y = 5x2 − 1
Equation 4: y = 4x4 − 1

Answers

Answer :

y = 3x + 1

Explanation:
Answer: 2 - y =3x + 1

PLS HELP!!! ANSWER ASAP PLS!!!!!


Which inequality is true?

0.439 > 0.493 0.563 > 0.536

0.673 < 0.573 0.781< 0.749

Answers

Answer:

0.563>0.536

Step-by-step explanation:

Its greater

a graph artist created the design for a rectangular poster. the design is 12 inches by 9 inches. The poster is 48 inches by 36 inches. What scale factor did the graph artist use to create the design

Answers

Answer:

The ratio of the areas of the design and the poster is

(12*9):(48*36) = 1:16

James social studies test scores for the semester are shown below 83 91 79 83 89

Answers

Answer:

avarage will be=85

Step-by-step explanation:

Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25​

Answers

Answer:

1

Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]

can the sides of triangle have lengths 4, 10, and 1? yes or no​

Answers

Answer:

Yah, it can as long as it has three sides

Answer:

Yes because..... (see explanation)

Step-by-step explanation:

Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.

last picture of my last question​

Answers

Answer:

Step-by-step explanation:

Done

I don’t understand sorry

Solve the following system of equations.
- 7x-9y= 10
3x – 2y = 25

Answers

Answer: first one x= -9/7y+-10/7, second x=2/3y+25/3

1. Step-by-step explanation:

add 9y to both sides -7x-9y+9y=10+9y

divide both sides by -7. -7x/-7=9y+10/-7

2. Add 2y to both sides. 3x-2y+2y=25+2y

divide both sides by 3. 3x/3=2y=25/3

suppose aaron earned 15.75 in interest for account A and 28.00 in interest for account B after 21 months if the simple interest rate is 3.0% for account A and 4.0% for account B wich account has the greater principle explain

Answers

Answer:

Principle for account B is greater.

Step-by-step explanation:

First of all, let us have a look at the formula for Simple Interest:

[tex]SI =\dfrac{PRT}{100}[/tex]

Where [tex]P[/tex] is the principle amount

[tex]R[/tex] is the Rate of interest per annum

[tex]T[/tex] is the time in years.

Time = 21 months = [tex]\frac{21}{12}\ yrs[/tex]

[tex]R_1 = 3\% \\R_2=4\%[/tex]

Let the Principles be [tex]P_1, P_2[/tex].

Using the formula for Simple Interest, we get:

[tex]SI_1=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow 15.75=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow P_1 = 300[/tex]

[tex]SI_2=\dfrac{P_2\times 4\times 21}{100\times 12}\\\Rightarrow 28=\dfrac{P_2\times 3\times 21}{100\times 12}\\\Rightarrow P_2 = 533.33[/tex]

Therefore, principle for account B is greater.

What is the value of the expression

s(8-2)/t

when s=0.5 and t= 2

A 0.5
B 1
C 1.5
D 2

Answers

Answer:

C. 1.5

Step-by-step explanation:

replace the values in the equation with the values given.

Answer:

I think it will be C. 1.5

Adele swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds. How many seconds faster was Alexandria’s time than Adele's time?

Answers

Answer:

3.16 seconds

Step-by-step explanation:

32.56 - 29.4 = 3.16

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