If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy​

Step-by-step explanation:

-3x + 6y = 18

-3x = 6y+14

a) the slope of the 1st equation = -(-3)/6 = ½

b) the slope of the 1st equation = -3/6 = -½

c) they are niether parallel nor perpendicular

#1

slope=1/2

#2

slope=-1/2

#3

Neither

If the number is supposed to be

[tex]a^n + a^{n+1} + a^{n+2} + a^{n+3} + a^{n+4}[/tex]

then it can be factorized as

[tex]a^n \left(1 + a + a^2 + a^3 + a^4\right)[/tex]

but there's not much to say about divisibility here without any more information about a.

If you meant

[tex]a^n + (a^n+1) + (a^n+2) + (a^n+3) + (a^n+4)[/tex]

simplifying gives

[tex]5a^n + 10 = 5 (a^n+2)[/tex]

which is clearly divisible by 5.

Answer:

midpoint = (-2 , 6)

Step-by-step explanation:

The midpoint can be found with the formula {(x1 + x2 )/2, (y1 + y2.) P1( x1 , y1 ), and P2 (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

Answer:

2.723 gallons of paint is required to paint the wall.

Step-by-step explanation:

It is given that the area of the wall is 300 sq feet. A gallon of paint covers 110 sq feet. We are asked to determine how many gallons of paint will be needed to paint the wall.

The fraction of above statement is,

[tex]$\frac{110 f t^{2}}{300 f t^{2}}=\frac{1}{x}$[/tex]

[tex]$x=\frac{300}{110}$[/tex]

[tex]$x=2.723$[/tex]

Learn more about gallons refer:

Find the distance between the points t(13, 1.6)t(13, 1.6) and v(5.4, 3.7)v(5.4, 3.7).

1

SEE ANSWER

ADD ANSWER

+5 PTS

Advertisement

Jeffrey5687 is waiting for your help.

Add your answer and earn points.

Answer Expert Verified

1.0/5

0

eco92

Ambitious

1.1K answers

4.7M people helped

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

Thus the distance between points t(13, 1.6) and v(5.4, 3.7) is found using the formula as:

Step-by-step explanation:

The first step is wrong. It claims that

[tex]\frac{9x^3}{2x^3+9}=\frac{9x^{\cancel 3}}{2x^{\cancel 3}+9}=\frac{9}{2+9}[/tex]

but it is not true. It is attempting to simplify the fraction by cancelling the x^3 terms from 9x^3 and 2x^3.

However, to perform this operation, all terms in the fraction must be divided by x^3. But this will mean

[tex]\frac{9x^3}{2x^3+9}=\frac{(9)(x^3)}{(2+\textcolor{red}{\frac{9}{x^3}})(x^3)}=\frac{9}{2+\textcolor{red}{\frac{9}{x^3}}}[/tex]

Answer:

Emma's recipe will taste more "lemony" (lol) then Clair's because it has more lemons.

Explanation:

More of something means you will experience it more. More lemons = more lemon taste. The extra cup of water is not enough to dilute the lemon taste for Clair's recipe to taste more lemony.

Answer:

A

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

solve expression using pemdas

(shown in image attached)

[tex]( - 8 \times - 6) - {4}^{2} \\ \\ - 77 - 16 \\ - 93[/tex]

Answer:

April

Step-by-step explanation:

To solve, you find the maximum of the polynomial function. You can do this by either graphing or plugging in the values in a T chart.

I graphed the function, provided down below.

As you can see, the highest value in the graph is the middle most point, aka (4,1). Count down the months of the year to 4, and you'll find that April is the 4th month of the year.

Using derivative concepts, it is found that the function has a local maximum in March.

--------------------

The function is:

[tex]S(t) = t^4 - 12t^3 + 52t^2 - 96t + 64[/tex]

Which has the following derivative:

[tex]S^{\prime}(t) = 4t^3 - 36t^2 + 104t - 96[/tex]

--------------------

February is the 2nd month, thus, the derivative is:

[tex]S^{\prime}(2) = 4(2)^3 - 36(2)^2 + 104(2) - 96 = 0[/tex]

Now, we have to test a value less than 2, and one greater than two, to check if it goes from increasing to decreasing, that is, derivative goes from positive to negative.

[tex]S^{\prime}(1.5) = 4(1.5)^3 - 36(1.5)^2 + 104(1.5) - 96 = -7.5[/tex]

[tex]S^{\prime}(2.5) = 4(2.5)^3 - 36(2.5)^2 + 104(2.5) - 96 = 1.5[/tex]

From negative to positive, thus, a local minimum in February.

--------------------

March is the 3rd month, thus, the derivative is:

[tex]S^{\prime}(3) = 4(3)^3 - 36(3)^2 + 104(3) - 96 = 0[/tex]

Testing before and after:

[tex]S^{\prime}(2.5) = 4(2.5)^3 - 36(2.5)^2 + 104(2.5) - 96 = 1.5[/tex]

[tex]S^{\prime}(3.5) = 4(3.5)^3 - 36(3.5)^2 + 104(3.5) - 96 = -1.5[/tex]

From positive to negative, thus, it has a local maximum in March.

A similar problem is given at https://brainly.com/question/13539822

Answer:

-263 feet

Step-by-step explanation

-275 + 160 = -115

-115 - 158 = -263

Answer:

I'm pretty sure its A cuz it looks different than the others

Answer:

$354 divided by 12 equal payments equals $29.50 per month

Step-by-step explanation:

$354 divided by 12 months (also 12 equal payments) = $29.50 per month.

Answer:

[tex] →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ [/tex]

Answer:

-11.11*C

Step-by-step explanation:

12°F − 32) × 5/9 = -11.11*C

Answer:

.2986

Step-by-step explanation:

( .3 ) - ( . 0014 ) = .2986

Answer:

here u go

Step-by-step explanation:

0.2986x

1]

[tex]8(x-7)=128 \ \ /:8\\\\x-7=16 \ \ /+7\\\\\huge\boxed{x=23}[/tex]

2]

[tex]16=2(x+7) \ \ /:2\\\\x+7=8 \ \ /-7\\\\\huge\boxed{x=1}[/tex]

3]

[tex]\frac{7y}{7}=20\\\\\huge\boxed{y=20}[/tex]

4]

[tex]2x-1=9 \ \ /+1\\\\2x=10 \ \ /:2\\\\\huge\boxed{x=5}[/tex]

5]

[tex]2(x-8)=20 \ \ /:2\\\\x-8=10 \ \ /+8\\\\\huge\boxed{x=18}[/tex]

Answer:

$9

Step-by-step explanation:

Since the question only asks for small ones, we only need to focus on 1.80 and 5. Multiple them. 1.80×5 and we get 9. 1.80×5=9

  Length of the arc of a circle is given by,

Here, θ is the central angle subtended by the arc

r = Radius of circle

  By using this expression, approximate length of the arc with radius 3 miles will be 2.36 miles.

If the radius of circle = 3 miles

Central angle subtended by the arc = 45°

Therefore, length of the arc = [tex]\frac{45^{\circ}}{360^{\circ}}(2\pi )(3)[/tex]

                                               = 2.36 miles

           Length of the arc of the given circle will be 2.36 miles.

Learn more,

https://brainly.com/question/12566716

Answer:

I thought I answered this before

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

im taking  algebra 2 and this was a question

Hi! I'm happy to help!

We need to solve for x in this equation, we do this by isolating it on one side of the equation, and see what is on the other side (what it equals).

When we are isolating x, we are undoing the complication in the equation, so we are going to go backwards in the order of operations.

So, we will first write out our equation:

(6x-4)÷8=7,

Now, we need to get rid of that ÷8, we do this by multiplying both sides by 8:

(6x-4)÷8=7

        ×8 ×8

6x-4=56

Now, we have to add 4 to both sides to get rid of that "-4".

6x-4=56

  +4 +4

6x=60

Now, to find what x is, we have to divide both sides by 6 (isolating x).

6x=60

÷6  ÷6

x=10

I hope this was helpful, keep learning! :D

Answer:

I believe it's B, 10

Step-by-step explanation:

well first you find where the points would meet. if you count over three, that's where they line up, and then you count up to the dot itself, which would be 7 more. 7+3 = 10 :D

Answer:

you should read this problem and slove your self

it was

Step-by-step explanation:

Down 2 units : we will move the point 2 units to the down direction of the vertical line (y-axis)

which means (x ,y-2) = (-2,1)

right 3 units = we will move the point 3 units to the right direction of the horizontal line (x axis )

(x+3,y)= (1,3)

up 1 unit and left 4 units : we will move the point 1 unit in the up direction of the vertical line (y-axis)

and move it 4 units in the left direction of the horizontal line (x axis )

(x-4,y+1l. = (-6,4)

Answer:

Step-by-step explanation:

Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.

So the odd positions go up 3 6 9 12

And the next odd position is 15 which is the nineth term.

It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.

The sum of 9 and 15 = 24

If someone gives you a more consistent answer, take it.

The point (-2 , -3) is located in the 3rd quadrant.

[tex]  \boxed{ \boxed{ \mathrm{lll \: \: quadrant}}}[/tex]