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4 years ago

Which of the following is the quotient of the rational expressions shown below?

1 answer:

soldier1979 [14.2K]4 years ago

7 0

We have two rational expressions. One in numerator and one in denominator.
Dividing by a fraction is equivalent to multiplying by its reciprocal. The rational expression in the denominator can be multiplied by taking its reciprocal to simplify the overall expression as shown below.

$\frac{ \frac{4x+1}{6x} }{ \frac{x}{3x-1} } \\ \\ 
= \frac{4x+1}{6x} * \frac{3x-1}{x} \\ \\ 
= \frac{(4x+1)(3x-1)}{6 x^{2} }$

There are no common factors, so the expression can be simplified any further.

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1.) The island shown has a population of 12,175 people. Find the population

miv72 [106K]

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

$\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

7 0

3 years ago

Will give brainliest... This picture shows a cube and its net

Karo-lina-s [1.5K]

I think, if surface area is length×width, one square would be 121, and since there's 6 squares, you'd multiply 121 by 6 and that equals 726. hope that helped!

3 0

3 years ago

Can someone please help me with this question

Anton [14]

It seems the first line has to be

1. AB=CD and AD=CB 1. given

2. AC=AC 2. Reflexivity (things are equal to themselves)

3 $\triangle$ ACB $\cong$ $\triangle$ CAD 3. SSS

4. $\angle$ 1 = $\angle$ 4. Corresponding parts of congruent triangles

5 DC || AB 5. Congruent alternate traversal angles imply parallel lines

5 0

4 years ago

Find m < RMQ if mQR = 54

svetlana [45]

9514 1404 393

Answer:

27°

Step-by-step explanation:

The inscribed angle is half the measure of the arc it intercepts.

∠M = 1/2 arc QR = 1/2(54°)

∠M = 27°

6 0

3 years ago

Someone please help me with this

VikaD [51]

Answer:

Step-by-step explanation:

please see attached with explanation

hope it helps

4 0

3 years ago