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3 years ago

What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)

Mathematics

1 answer:

PIT_PIT [208]3 years ago

3 0

9514 1404 393

Answer:

common denominator: (x² -4)
simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

a² -b² = (a -b)(a +b)

Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

$\dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}$

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Please help ASAP. PRE ALGEBRA

telo118 [61]

Answer:

x=35

Angle measurements of the triangle from least to greatest:

35,40,105

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees.

So we know that 40+3x+x=180.

First step is to combine the like terms on the left hand side:

40+4x=180

Second step is to subtract 40 on both sides.

4x=140

Third step is to divide both sides by 4:

x=35

The angle that is given is the one that is 40 degrees.

So the angle whose measurement is x is really 35 degrees.

The angle whose measurement is 3x is real 3(35)=105 degrees.

In order from least to greatest we have:

35,40,105

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3 years ago

The distance between the two points pictured is d= Vn

katrin [286]

the distance between points is:

d = 7.8 units

d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

The ordered pairs are:

(x1, y1) = (- 3, -2)

(x2, y2) = (2,4)

By applying the formula we have:

d = root ((2 - (- 3)) ^ 2 + (4 - (- 2)) ^ 2)

d = root (61)

d = 7.8

5 0

3 years ago

A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveli

Snezhnost [94]

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

$s = 120 - 12r$

A linear equation is represented as:

$y = c + mx$

Where

$c =y\ intercept$ and

$m = slope.$

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

$s = 120 - 12r$

$s = 120 - 12 * 5$

$s = 120 - 60$

$s = 60$

60 miles traveled

Solving (b): s = 36

$s = 120 - 12r$

$36 = 120 - 2r$

Collect like terms

$2r =120 -36$

$2r =84$

Solve for r

$r = 42$

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4 0

3 years ago

Which is the equivalent of 12.42 written in DMS form?

nika2105 [10]

12.42

12°+.42(60)

12°25.2'

12°25'+.2(60)

12°25'12"

3 0

3 years ago

Read 2 more answers

James reads that 1 out of 6 eggs contains salmonella bacteria. So he never uses more than 5 eggs in cooking. If eggs do or don't

Dmitrij [34]

Answer:

B. binomial with n = 5 and p = 1/6

Step-by-step explanation:

Given that James reads that 1 out of 6 eggs contains salmonella bacteria.

So he never uses more than 5 eggs in cooking.

If eggs do or don't contain salmonella independently of each other, then

probability for any one egg to contain salmonella bacteria is the constant 1/6.

Also there are only two outcomes, either bacteria present or not.

Hence the number of contaminated eggs when James uses 5 chosen at random has the distribution is Binomial

Here n = no of trials = no of eggs he uses = 5

Probability = 1/6

So option B is right.

3 0

3 years ago