All categories

2 years ago

a rectangle has an area that is represented by 9x²-4. the length of the rectangle is 3x-2. what is the width?

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

6 0

Step-by-step explanation:

the area is

length × width

(3x - 2) × width = 9x² - 4

to find width we could do a real polynomial division or simply recognize the fact that

(a + b)(a - b) = a² - b²

and we see that in our area calculation we are missing the (a + b) factor.

so, width = (3x + 2)

but if you want the division :

9x² - 4 : 3x - 2 = 3x + 2

- 9x² - 6x

-----------------

0 6x - 4

- 6x - 4

----------------------

0 0

again, width = (3x + 2)

You might be interested in

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3

Nat2105 [25]

Question:

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

Answer:

The actual length of Hector room is 14 foot

Solution:

Given that, On the floor plan, his bedroom is 3 inches wide and $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

To find: Actual length of floor

From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot

6 0

2 years ago

52% of what number equals 39

OverLord2011 [107]

To figure this equation out, you'll have to divide 39 by 52% (0,52)

39 / 0.52 = 75

39 is 52% of 75 is your answer.

Hope this helps!

8 0

3 years ago

Read 2 more answers

The product of two consecutive odd integers is 399. What equation would be used to solve

olga nikolaevna [1]

Step-by-step explanation:

the answer is in the image

6 0

2 years ago

1. How many fourteenths are in 5/14?

never [62]

....... argue 6e73t83hwp260wcsihwoec

6 0

2 years ago

A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2

AVprozaik [17]

Area of the rectangular mat = 12 x 4 = 48 in²

Area of the 3 circles = 3( πr²) = 3(3.14 x 2²) = 37.68 in²

P(landing in a circle) = 37.68/48 = 157/200 = 0.79 (nearest hundredth)

Answer: The probability of landing in one of the circles is 0.79.

7 0

2 years ago