Factor the following:

Mathematics

1 answer:

Degger [83]2 years ago

6 0

The answer #2.(4xy-9)(4xy+9)

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What is the length and width of a room that is 60 square meters and has a perimeter of 32 meters

AleksAgata [21]

L = lenght
W = width

$L * W = 60 \\
2L + 2W=32\\\\
L = \frac{32-2W}{2}\\
\frac{32-2W}{2}*W = 60\\
(16-W)*W = 60\\
-W^{2} + 16W -60 = 0\\\\

d = 16^{2} - 4*1*60 = 256 - 240 = 16 \\\\
W1 = \frac{-16+\sqrt{16}}{-2} = \frac{-12}{-2} = 6\\
W2 = \frac{-16-\sqrt{16}}{-2} = \frac{-20}{-2} = 10\\

L1 = 10\\
L2 = 6\\
$

so

{L,W} = {6,10} or {10,6}

but L > W so

L = 10
W = 6

7 0

3 years ago

Which statements about opposites are true?

Sloan [31]

9514 1404 393

Answer:

A, B, D

Step-by-step explanation:

The "opposite" of a number is that number with its sign changed.

The opposite of zero is zero.
A number and its opposite are located the same distance from zero on a number line.
The opposite of a negative number is always a positive number.

7 0

2 years ago

Read 2 more answers

Estimate 17.9 divided by 9

babunello [35]

Hi

To estimate, round the decimal to the nearest whole number, which is 18.
18/9 = 2

The answer is 2

Hope this helps! :)

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2 years ago

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A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel

otez555 [7]

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

Number of hotels = 160

Number of response received = 103

The average number of years these general mangers was in their current hotels, $\bar x$ = 11.7 years