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

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Equation

2x + 3 + 4x = 6x + 3

Step 2: Solve for x

Here we see that x does indeed equal to x.

∴ x = infinite amount of solutions.

2x + 3 + 4x = 6x + 3

Combine the like terms on the left side

2x + 4x = 6x

6x + 3= 6x + 3

Subtract 3 from each side

6x = 6x

Divide each side by 6

x = x

No matter what x is, they are the same. It has infinite solutions.

Answer:

I wanna say C. But I'm not exactly sure.

Step-by-step explanation:

I hope it's right :(

Answer:

A

Step-by-step explanation:

We can get this by simplifying the inequalities

3(x-4) ≤ 18

3x - 12 ≤ 18

3x ≤ 18 + 12

3x ≤ 30

x ≤ 30/3

x ≤ 10

Secondly;

2(x-1) ≥ 6

2x - 2 ≥ 6

2x ≥ 6 + 2

2x ≥ 8

x ≥ 4

So the possible answer that fits both cases is 9

12 won’t work as it is not less than 10; we need an answer that is less than 10 to satisfy the first inequality

Answer:

You find all the numbers the y value can be

Step-by-step explanation:

The range is all the possible y values, alot of the times it's going to be infinite

Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

Given:

[tex]f(1)=3,f(n)=2\times f(n-1)[/tex]         ...(i)

For [tex]n\geq 2[/tex].

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

[tex]f(n)=r\times f(n-1)[/tex]            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

[tex]r=2[/tex]

Now,

First term: [tex]a=f(1)=3[/tex]

Common difference: [tex]r=2[/tex]

nth term of a GP is

[tex]f(n)=ar^{n-1}[/tex]

Putting a=3 and r=2, we get

[tex]f(n)=3(2)^{n-1}[/tex]

Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].

Answer:

0.5

Step-by-step explanation:

Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =

[tex] \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5[/tex]

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.

Answer:

sry

Step-by-step explanation:

the iirirkrkrkrrkoror is the one that is the

Answer:

it the third one

Answer:

(c-5)(3+4c)

Step-by-step explanation:

3c-15+4c^2-20c

4c^2-17c-15

Berry Method

4*(-15)=-60

What two numbers multiply by each other to get -60 but add up to -17

-20 and 3

[tex]\frac{(4c+3)(4c-20)}{4}[/tex]

(4c+3)(c-5)

Answer:

just do that quik mafs

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

hope this helped luv!

Answer:

( 9, -35 )

Step-by-step explanation:

We can figure out how far the midpoint is from point A and just add the same values to the midpoint's coordinates to get the location of point B.

From A to Midpoint in the X direction:

+ 6

From A to Midpoint in the Y direction:

-15

The coordinate of the midpoint is:

( 3, -20)

3 + 6 = 9

-15 + (-20) = -35

The coordinates of B are:

( 9, -35 )

Answer:

45

Step-by-step explanation:

Calculation to Find the size of each exterior angle

First step is to calculate the sum of interior angles of a polygon using this formula

Sum of interior angles of a polygon =S=(n-2)*180

Let plug in the formula

Sum of interior angles of a polygon=1080=(n-2)*180

Cross multiply

1080/180=n-2

6=n-2

Add 2 to both sides

6+2=n-2+2

n=8

Now let Find the size of each exterior angle using this formula

Size of each exterior angle=360/n

Where,

n represent numbers of sides of the polygon

Let plug in the formula

Size of each exterior angle=360/8

Size of each exterior angle=45

Therefore the size of each exterior angle will be 45

Answer:

45

Step-by-step explanation:

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

yeet yeet yeet

Answer:

22 units

Step-by-step explanation:

The formula for the area of a trapezoid is A = [tex]\frac{a+b}{2} h[/tex] where a and b are the bases and h is the height of the trapezoid.

In this case, the numbers that will be replacing a and b will be 4 and 7, making the equation look like this: A = [tex]\frac{4+7}{2}h[/tex] .

Now, you have to determine the height of the trapezoid, which in this case is 4 units. The equation will now look like this: A = [tex]\frac{4+7}{2}4[/tex].

You can solve from here like so:

A = [tex]\frac{11}{2}4[/tex]

A = 5.5(4)

A = 22

sorry that took long :3))

I got the measurements like 4, 7, and the other 4 from rotating the shape to have the longer side on the bottom.

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

Answer:

-2.25

Step-by-step explanation:

9(1-x) = 27Y

9-9x =27y

-9x -27y = -9  multiply all terms by -1

9x +27y =9   equation (1)

x-y= -11/2 equation (2)

by solving 2 equations

x= -3.875

y= 1.625

∴ x+ y = 1.625 +(-3.875) = -2.25

Answer:

The answer is D I'm not sure

Answer:

127 degrees

Step-by-step explanation:

When you add up all three angles of a triangle, the sum will always be 180 degrees. Just add up the two known angles and that will equal Angle ABC because a straight line also equals 180 degrees

Answer:

Step-by-step explanation:

if Charles bought the sneakers for 6.30 and wants to re-sell them with 40% more,

first lets see how much is 40% of 6.30

(6.30*40)/100=2.52

he will resell the shoes with

6.30+2.52=8.82

Answer:

$[tex]8.82[/tex]

Step-by-step explanation:

[tex]6.30 + 0.4\times6.30 = 8.82[/tex]

[tex]\therefore[/tex] Charles will sell the sneakers at a price of $[tex]8.82[/tex]

Hope this helps :)

Answer:

which one, i just took a test, and im from texas

Step-by-step explanation:

Answer: x=15

Step-by-step explanation: it’s all in the picture hope this helps!

Answer: x= 15

Step-by-step explanation:-109+9x=86-4x

⇒13x-195=0

⇒13x=195

⇒x=

195

13

⇒x=15

Answer:

6x-17y

Step-by-step explanation:

2x+4x-17y

6x-17y

Answer:

Perimeter = 10x-2

Area = 6x²-x-2

Step-by-step explanation:

Perimeter=2L+2W

2(3x-2)+2(2x+1)

6x-4+4x+2

10x-2

Area=LW

(3x-2)(2x+1)

6x²+3x-4x-2

6x²-x-2

Answer:

7:47

Step-by-step explanation:

Here are two ways of solving this:

The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.

Method 1)

Use the tip. The video is 15 minutes and 34 seconds long.

Convert minutes to seconds: 15 * 60 = 900

Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds

The video is 934 seconds long.

Divide the total seconds by 2: 934/2 = 467

467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds

Answer: 7:47

Method 2)

Divide the minutes by 2 and divide the seconds by 2.

15 minutes and 34 seconds.

Divide minutes by 2: 15/2 = 7.5

Divide seconds by 2: 34/2 = 17

Now we need to add 7.5 minutes and 34 seconds.

0.5 minutes is half a minute, so it's 30 seconds.

7.5 minutes + 17 seconds =

= 7 minutes + 0.5 minute + 17 seconds

= 7 minutes + 30 seconds + 17 seconds

= 7 minutes + 47 seconds

= 7:47

Answer: 7:47

Answer:

Step-by-step explanation:

The formula for finding the area of a parallelogram is the same for finding the area of a rectangle/square. So basically:

6 × 8 = 48

The area of the parallelogram is 48

Hope this helps!

Have a nice day!

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Answer:

l don't understand your question.......sorry

Answer:

h = - 105

Step-by-step explanation:

Given

[tex]\frac{h}{14}[/tex] = - 7.5 ( multiply both sides by 14 to clear the fraction )

h = - 105

Answer:1.86

Step-by-step explanation: