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konstantin123 [22]
3 years ago
11

a figure was rotated around a vertical line segment resulting in the object below. which of the figues was rotated

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

3 0
3 years ago
If k=9 and x=5, find the value of the expression: <br> 2k - X<br><br> Please hurry
il63 [147K]

Answer:

\huge\boxed{13}

Step-by-step explanation:

= 2k - x

Given that k = 9, x = 5

= 2(9) - 5

= 18 - 5

= 13

\rule[225]{225}{2}

Hope his helped!

<h3>~AH1807</h3>
8 0
3 years ago
What's the slop for 3y=X+3
Licemer1 [7]
1/3 is the slope, or 1 over 3. 
7 0
3 years ago
Please help me I'm a bit stuck on this problem.
bixtya [17]

5 times when all 5 times are up its 7:30 which if 3/4 of a hour which is 45 and is that time4learning?

7 0
3 years ago
Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the
vodomira [7]

Answer:

the green prisim is 5.59 or 5 times bigger!

Step-by-step explanation:

The surface area of the green prisim is 850 and the surface area of the blue one is 150 and 850 divided by 150 is 5.59!

5 0
3 years ago
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