Which expression is equivalent to (-7m^4+15m^3-12m^2)+(3m^5-12m^4-7m^3)/m-6?

Dennis_Churaev [7]

I'll add a picture so it can make more sense to you. :)

We'll use the picture below as an example okay? :)
What you want to do is multiply the numerator (top number) of the left-hand fraction by the denominator (bottom number) of the right-hand fraction. Then multiply the numerator (top number) of the right-hand fraction by the denominator (bottom number) of the left-hand fraction. Next step is to set the two products equal to each other. Then solve for the variable. If you look at the picture while reading the steps, then I think it'll make more sense.
I really hope this helps :)

4 0

4 years ago

The formal for the valume v of a cylinder v=nr^(2)h,where is r is the radius of the base and h is height of the cylinder. solve

kvasek [131]

The formula for the height of a cylinder is h = V / (π.r²) and the height of a cylinder with a volume of 36 cm³ and a radius of 3 cm is 4/π cm

Given a cylinder with a radius r and height h, then its volume is given by the formula:

V = π.r².h

Where:

V = volume

r = radius

h = height

To find the formula for the height, divide both sides by π.r²

V : π.r² = π.r².h : π.r²

or,

h = V / (π.r²)

The given parameters are:

V = 36 cm³

r = 3 cm

Substitute those parameters into the formula:

h = 36 / (π.3²)

h = 36 / (9π)

h = 4/π cm

Learn more about cylinder here:

brainly.com/question/24159177

#SPJ4

4 0

2 years ago

A rectangle is 12cm longer than its wide. It's perimeter is 68m, how do you find it's length and width?

Zina [86]

Answer:

Width: 1694 cm or 16.94 m

Length: 1706 cm or 17.06 m

Step-by-step explanation:

1. Write out the known equations:

First, the equation for the perimeter of a rectangle:

$Perimeter = 2(Width) + 2(Length)$

We also know that the rectangle is 12 cm longer than it is wide. This leads to the second equation:

$Length=Width+12$

2. Solve the system of equations for width:

Since we know the length in terms of width, and we know the perimeter, we can plug these values into the equation for the perimeter. First, let's rearrange the equation for perimeter to solve for width:

$Perimeter = 2(Width) + 2(Length)\\Perimeter-2(Length)=2(Width)\\2(Width)=Perimeter-2(Length)\\Width=\frac{Perimeter-2(Length)}{2}$

Now, plug in the known values (since there are 100 cm in one metre, I'm multiplying the perimeter of 68 m by 100 to convert to centimetres--the perimeter of 68 m is equal to 6800 cm):

$Width=\frac{6800-2(Width+12)}{2}$

Now, solve the equation for width:

$Width=\frac{6800-2(Width+12)}{2}\\2(Width)=6800-2(Width+12)\\2(Width)=6800-2(Width)-24\\2(Width)+2(Width)=6800-24\\4(Width)=6800-24\\4(Width)=6776\\Width=1694cm$

3. Solve for length using width:

Now that we know the width, we can easily solve for the length using our previously established equation for length, $Length=Width+12$ , as shown:

$Length=Width+12\\Length=1694+12\\Length=1706cm$

4. Convert to metres.

If you want to know the answer in metres, you can convert from centimetres by dividing by 100:

1694/100 = 16.94 m

1706/100 = 17.06 m

4 0

2 years ago

For all the values of x, f(x) = 2x(squared) g(x) = x+1 solve fg(x)=gf(x)

bulgar [2K]

Answer:

Value of x for fg(x)=gf(x) at f(x) = 2x² and g(x) = x+1 is x = -1/4 .

Step-by-step explanation:

We have, f(x) = 2x² and g(x) = x+1

Now, f(g(x)) = g(f(x))

⇒ 2(x+1)² = 2x² + 1

⇒ 2( x² + 2x + 1 ) = 2x² + 1

⇒ 2x² + 4x + 2 = 2x² + 1

⇒ 4x = -1

⇒ x = -1/4

3 0

4 years ago

The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6-foot boat weighs 102 pounds, then w

AnnZ [28]

Answer:

The 11 foot boat ways 187 pounds

Step-by-step explanation:

102 / 6 = 17

17 * 11 = 187

3 0

3 years ago