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2 years ago

How do I find a common denominator for a complex faction when one denominator is 2m-1 and the other is 2m+5

1 answer:

3 0

The best option is to multiply them together, there would be no value that is common between the two, (2m - 1)(2m + 5), and leave it in this form.

However, there is a second method.
Notice how between the two sits a difference of 6.
You can manipulate one of the fractions to render the same denominator and work from there.

You might be interested in

The height of a cylinder is 10 and the area of a base is 36 pi square units. What

ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

$v=\pi r^2h$

We have the area of the base, but not the radius

$a=\pi r^2$

We know the area is $36\pi$ , so we can substitute that in for a

$36\pi =\pi r^2$

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

$v=\pi r^2h$

$v=\pi 6^210$

Solve the exponent

$v=\pi 36(10)$

$v=\pi 360$

v=1130.97336

The volume is 1130.97336 units^3

6 0

2 years ago

Eleven oz of ground coffee is 2 cups. How many cups is 12 oz?

SVETLANKA909090 [29]

Answer:

66 oz

Step-by-step explanation:

Every 2 cups have 11 ounces of ground coffee. Two times six is 12, so 11 times 6 is 66.

Another explanation is-

2/12 = 11/x

12 times 11 is 132. Then divide that by two to get 66

4 0

2 years ago

100 pints help would be greatly appreciated

Veronika [31]

Answer:

(4, -2) (see attached)

Step-by-step explanation:

Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.

<h3>vector components</h3>

The components of the vectors are ...

u = (1, -2)

v = (-6, -6)

Then the components of the vector sum are ...

2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)

2u -1/3v = (4, -2)

<h3>graphically</h3>

The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.

One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.

The resultant is in red in the attachment.

5 0

1 year ago

Which situation CANNOT be represented by this equation? 3x+4=19

8090 [49]

I'm going with B Pennt is seling candles for 4$ each at a fund raiser if I'm right please give me branlest

3 0

2 years ago

Read 2 more answers

The population in the trapezoid-shaped region shown is about 3000 people. How many people are there per square mile?

Anastasy [175]

Answer: $\frac{3,000}{A}$

Step-by-step explanation:

<h3> Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>

For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:

$A=\frac{h(B+b) }{2}$

Where "B" and "b" are the bases of the trapezoid and "h" is the height.

So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.

Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.

Then, the following expression represents the number of people per square mile in that region:

$\frac{3,000}{A}$

7 0

2 years ago

Read 2 more answers