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

Mathematics

2 answers:

PolarNik [594]4 years ago

8 0

Find the attached picture.

gayaneshka [121]4 years ago

6 0

The given fraction involves two Rational Expressions, one in numerator and one in denominator.

The rational expression in the denominator can be multiplied to the numerator after taking its reciprocal, this will help to simplify the expression as shown below:

$\frac{ \frac{5x}{2x+3} }{ \frac{x+1}{3x} } \\ \\ 
= \frac{5x}{2x+3} * \frac{3x}{x+1} \\ \\ 
= \frac{15 x^{2} }{(2x+3)(x+1)}$

There are no common factors in the numerator and the denominator so the expression cannot be simplified any further.

You might be interested in

Diameter of a cone base is 5 cm and a slant height is 4M find surface area

Nutka1998 [239]

Hi there!

The total surface area (tsa) of a cone can be calculated with this formula :

TSA = ( $\pi$ × r × slant height) + $\pi$ × r²

The "r" stands for "radius". The radius is equal to half the diameter, so in order to be able to use the formula, you'll need to divide the diameter by 2 to find the radius :

5 ÷ 2 = 2.5 = radius

Since the slang height is in meters, you'll need to transform it into centimeters in order to have both values in centimeters. To do so you'll need to use the cross product method :

1 m = 100 cm

4 m = x cm

(100 × 4) ÷ 1 = x cm

400 ÷ 1 = x cm

400 = x cm → The slant height is 400cm.

Now replace all the information in the formula and calculate everything :

TSA = ( $\pi$ × 2.5 × 400) + ( $\pi$ × 2.5²)

TSA = ( $\pi$ × 1,000) + ( $\pi$ × 6.25)

TSA ≅ 3,141.59 + 19.63

TSA ≅ 3,161.22 cm²

There you go! I really hope this helped, if there's anything just let me know! :)

4 0