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densk [106]
3 years ago
6

10

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

Answer:

x= -2

Step-by-step explanation:

Rational Function can be expressed as:

\displaystyle \large{y =  \frac{a}{p(x - b)}  + q}

Where b is our horizontal shift and q is our vertical shift.

For asymptotes, there are two types which are vertical and horizontal.

Vertical Asymtote is the value of -b itself or x = -b.

Therefore, from the functio:

\displaystyle   \large{y =  \frac{10}{x + 2} }

Our vertical asymtote is x = -2

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Identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 49
Paha777 [63]

Answer:

The surface is a cylindrical surface with radius 7 units

Step-by-step explanation:

The equation is properly written as:

\rho^{2} (sin^{2} \phi sin^{2} \theta + cos^{2} \phi) = 49

The above equation takes the form y^{2} + z^{2} = r^{2}

Where y^{2} = \rho^{2} sin^{2} \phi sin^{2} \theta

y = \rho sin \phi sin \theta

and z^{2} = \rho^{2}cos^{2}  \phi

z = \rho cos \phi

r^{2} = 49

r = 7 units

The surface is a cylindrical surface with radius 7 units

4 0
3 years ago
Suppose you are managing 17 employees, and you need to form three teams to work on different projects. assume that all employees
Korvikt [17]
To form the first group, we can choose from a group of 17 people.
\text{First group: } ^{17}C_6 = 12376

To form the next group, we need to consider how many people are left (17 - 6 = 11)
So, from a group of 11 people, we can have 3 people in it.
\text{Second group: } ^{11}C_3 = 165

There is only one way to group the last 8 people. Thus, they are going to be 1 group.

BUT we would have overcounted because of the fact that they can be chosen in different ways. This is because they are not distinct groups or ordered groups. For example, the third group can be chosen first, the second can be chosen last, etc.

So, to counter this, we need to divide by 3!

\text{Total arrangements: }\frac{12376 \cdot 165}{3!} = 340340

There are 340, 340 ways.
3 0
3 years ago
1+1=x x+2=y y+4=z z+z = ?
trapecia [35]
2
2 + 2 = 4
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Darya [45]
Seems like it’d be A
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2 years ago
You have to simplify this expression.<br> -2x+3-(5-6x)
Ivanshal [37]

Answer:

4x−2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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