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3 years ago

Find the quotient write your answer in the simplest form !

Mathematics

2 answers:

Mrrafil [7]3 years ago

6 0

Answer:

The answer is B) $\frac{2x-3}{2x+1}$

Step-by-step explanation:

Step 1: First we have to factorize the each rational expressions.

$\frac{4x^2 - 9}{6x^2 + 13x + 6}$ ÷ $\frac{4x^2 - 1}{6x^2 + x -2}$

= $\frac{(2x - 3)(2x + 3)}{(3x + 2)(2x + 3)}$ ÷ $\frac{(2x+1)(2x -1)}{(2x -1)(3x +2)}$

Now we can cancel out (2x + 3) and (2x -1) since they are common factor both in the numerator and the denominator, so we get

= $\frac{2x - 3}{3x + 2}$ ÷ $\frac{2x + 1}{3x + 2}$

Step 2: If we have fraction over fraction, we can flip the second fraction and multiply.

= $\frac{2x - 3}{3x + 2}$ x $\frac{3x + 2}{2x + 1}$

Now we can cancel out (3x + 2), so we get

= $\frac{2x-3}{2x+1}$

Thefore, the answer is B.

Thank you.

BlackZzzverrR [31]3 years ago

4 0

Answer:

Second choice

Step-by-step explanation:

If we factor all the numerators and denominators we get

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

-------------------- ÷ -----------------

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

2x - 3 3x + 2

= -------- * --------- = 2x - 3 / 2x + 1 (answer) (second choice)

3x + 2 2x + 1

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The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. The Height on the wall till which the ladder reaches is 21.148 ft.

The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The height of the wall can be found by using the trigonometry ratios, therefore, the height of the wall can be determined as,

Sin(74°) = (Height on the wall)/(Length of the wall)

Sin(74°) = (Height on the wall)/22 ft

(Height on the wall) = 21.148 ft

Hence, the Height on the wall till which the ladder reaches is 21.148 ft.

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2 years ago

Can I get help on B please

gladu [14]

13889.122 pounds didn’t do it In standard

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3 years ago

The diameter of a pizza is 14 inches. The pizza has 8 slices of equal size. Which of the following is the closest to the area of

qwelly [4]

Answer:

Step-by-step explanation:

First let us find the area of the whole pizza. Area of a circle is:

$A=\pi r^2$

Then, we have diameter as:

$diameter\div2=radius$

So, then using these formulas we would have,

$16\div2=8\\A=8\pi \text{ or }25.12$

Now, one slice is $\frac{1}{8}$ of the entire pizza. So, we would have:

$8\pi\div8=1\pi\\\text{ or }\\25.12\div8=3.14$

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2 years ago

Read 2 more answers

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<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, in the previous trial, one out of eight students read a book, hence:

p = 1/8 = 0.125 = 12.5%.

There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

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2 years ago

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taurus [48]

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