All categories

3 years ago

14. A rectangle has a width described by the expression (x2 + 2x – 15)/x and a length described by the expression

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

8 0

Answer:

The answer to your question is Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

Step-by-step explanation:

Data

Width = (x² + 2x - 15)/x

Length = (3x² + 4x)/ (5 + x)

Process

1.- Write the formula for the perimeter of a rectangle

Perimeter = 2W + 2L

2.- Substitution

Perimeter = 2(x² + 2x - 15)/x + 2(3x² + 4x)/(5 + x)

3.- Simplification

Perimeter = (2x² + 4x - 30)/x + (6x² + 8x)/(5 + x)

4.- Sum the fractions

Least common factor = x(5 + x)

Perimeter = [(2x² + 4x - 30)(5 + x) + (x(6x² + 8x)] / x(5 + x)

-Simplification

Perimeter = [10x² + 20x - 150 - 2x³ - 4x² + 30x + 6x³ + 8x²] / x(5 + x)

Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

You might be interested in

salad dressing is made by mixing lemon juice and oil in the ratio 5:4. eleanor makes 900ml of the salad dressing how much lemon

xxTIMURxx [149]

Answer:

500 ml.

Step-by-step explanation:

5:4, right?

5 + 4 = 9

There's your answer, friend!

7 0

2 years ago

Someone please help me

posledela

Answer: first would be 6 the next would be 12 then the next would be 18 and so on just add 6 for each one and for ten pizzas it would be 6*10 and that equals 60 im sure you get it

5 0

2 years ago

I need help! Will mark Brainliest for full answer!!!

Softa [21]

Answer:

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

Explanation:

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

Mathematically, an inverse variation relation is represented as follows:

$y = \frac{k}{x}$

where x and y are the two variables and k is the constant of variation

Now, let's check the givens:

Part a:

We are given that y = 3 and k = 33

Substitute in the original relation and solve for x as follows:

$y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11$

Part b:

We are given that y = 11 and x = 5.2

Substitute in the original relation and solve for k as follows:

$y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2$

Part c:

We are given that x=7.8 and k=72

Substitute in the original relation and solve for y as follows:

$y=\frac{k}{x}=\frac{72}{7.8}=9.2$ to the nearest tenth

Hope this helps :)

6 0

2 years ago

( HELP ASAP! EASY POINTS ) The picture below shows a box sliding down a ramp:

TEA [102]

Answer:

AC = 14 cosec(68)

Explanation:

Here given:

angle: 68°

opposite: 14 ft

hypotenuse: AC

Use sine rule:

$\rightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}$

$\rightarrow \sf sin(68) = \dfrac{14}{AC}$

$\rightarrow \sf AC= \dfrac{14}{ sin(68) }$

$\rightarrow \sf AC= 14 \ cosec(68)$

4 0

1 year ago

The period of a function is 4 pi how many cycles of the function occur in a horizontal length of 12 pi

eduard

Answer:

3 cycles

Step-by-step explanation:

in one period, you have one full cycle

because the period for this function is 4pi, you have one cycle per 4pi

if you have a total of 12pi, you would have 3 cycles (12pi/4pi=3)

hope this helps!

3 0

2 years ago

Read 2 more answers