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Lana71 [14]
2 years ago
10

The volume of a rectangular prism is 2x^3 + 9x^2 - 8x -36 with height x + 2. Using synthetic division, what is the area of the b

ase?
Mathematics
1 answer:
Luba_88 [7]2 years ago
5 0

Answer:

Step-by-step explanation:

x+2=0

x=-2

-2 | 2   9    -8  -36

   |      -4  -10   36

______________

   |  2    5  -18  | 0

area= 2x²+5x-18

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disa [49]
I think the answer is C
3 0
2 years ago
Can you help me i don’t know the answers
Advocard [28]
1)

An irrational number is a number that a) can't be written as a fraction of two whole numbers AND b) is an infinite decimal without any sort of pattern.

For the first answer choice, clearly \frac{1}{3} does not pass the first criterion so we look at the second choice.

Let's come back to \sqrt{2} and \pi.

\frac{2}{9} doesn't meet our first criterion, and let's skip \sqrt{3} for now.

It is often easier to disprove an irrational number than to prove one. There are a few famous irrationals to know (although there is an infinite number of irrationals). The most common are \sqrt{2},  \pi, e,  \sqrt{3}. For now, it's just helpful to know these and recognize them.

So we can check off \sqrt{2},  \pi and \sqrt{3}.

2) 

For this next question, we know that \sqrt{64} = 8. Clearly this isn't irrational. Likewise, \frac{1}{2} isn't irrational. \frac{16}{4} =  \frac{4}{4} = 1, which is rational, leaving only \frac{ \sqrt{20}}{5} =  \frac{2 \sqrt{5} }{5}. By process of elimination, this is the correct answer. Indeed, \sqrt{5} is an irrational number.

3) This notation means that we have 0.3636363636... and so on, to an infinite number of digits. It is called a repeating decimal.

But it can be written as a fraction because its pattern repeats, unlike for an irrational number.

Let's say x=0.36363636.... Would you agree that 100x=36.36363636...? (We choose to multiply by 100 because there are two decimals that repeat. For 1, choose 10, for 3 choose 1,000, and so on.)

Now, let's subtract x from 100x and solve.

100x=36.36363636\\-x \ \ \ \ \ \ \ -0.36363636\\99x=36\\\\x= \dfrac{36}{99}= \dfrac{4}{11}

Voila!
4 0
3 years ago
Read 2 more answers
Mia works at a smoothie shop. For h hours of work, Mia earns 8h dollars. Last weekend, Mia worked 9 hours.
anastassius [24]

Answer:

72$

Step-by-step explanation:

8h

h=9

8*9=72$

8 0
2 years ago
Using the figure below identify 1 pair of the following angle relationships
tangare [24]

\\1) \:  \: \underline{ \sf{ Alternate \: interior \: angles \:  \:  : }}\\

\sf \implies \: 2\:  \: and \:  \: 7\\

\sf \implies \: 6\:  \: and \:  \: 3\\\\

\\2) \:  \: \underline{ \sf{ Alternate \: interior \: angles \:  \:  : }}\\\\

\sf \implies \: 1\:  \: and \:  \: 8\\

\sf \implies \: 5\:  \: and \:  \: 4\\\\

\\3) \:  \: \underline{ \sf{ Corresponding \: angles \:  \:  : }}\\

\sf \implies \: 3\:  \: and \:  \: 1\\

\sf \implies \: 5\:  \: and \:  \: 7\\

\sf \implies \: 4\:  \: and \:  \: 2\\

\sf \implies \: 6\:  \: and \:  \: 8\\\\

\\4) \:  \: \underline{ \sf{ Consecutive\: Interior \: angles \:  \:  : }}\\

\sf \implies \: 2\:  \: and \:  \: 3\\

\sf \implies \: 6\:  \: and \:  \: 7\\\\

\\5) \:  \: \underline{ \sf{ Consecutive\: Exterior \: angles \:  \:  : }}\\

\sf \implies \: 1\:  \: and \:  \: 4\\

\sf \implies \: 5\:  \: and \:  \: 8\\\\

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1 year ago
Solve.
ratelena [41]
The answer is x<6 because you have to divide 3 on both side 
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