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SpyIntel [72]
3 years ago
5

What is the vertical asymptote of the function 1 over (cos pi x over 2)?

Mathematics
1 answer:
NemiM [27]3 years ago
7 0

f(x)=\dfrac{1}{\cos\frac{x}{2}}\\\\\cos\dfrac{x}{2}=0\iff\dfrac{x}{2}=\dfrac{\pi}{2}+k\pi\ \ \ \ \ |\cdot2\\\\\boxed{x=\pi+2k\pi,\ k\in\mathbb{Z}}

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On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8,
ruslelena [56]

Answer:

Step-by-step explanation:

You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:

y=a(x-h)^2+k , where h and k are from the vertex and x and y are from the point. Filling in:

12=a(8-5)^2+3 and

12=a(3)^2+3 and

12=9a+3 and

9 = 9a s0

a = 1.

Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:

y=1(x-5)^2+3

3 0
4 years ago
Help with question pls I don't understand​
Mazyrski [523]

Answer:

15x^3y+6x^2y^2+9xy^3

Step-by-step explanation:

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6 0
3 years ago
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Factor the polynomial. 6g8 – 3g4 + 9g2 urgentt
Vitek1552 [10]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Your team gets an ice sculpture in the shape of a basketball. It has a radius of 12 inches. What is the volume of the ice? Use 3
horsena [70]
The answer is 7234.56 inches cubed. The equation to find the volume of a sphere is 4/3*pi*r^3.

The equation would be 4/3 * 3.14 * 12^3.

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From the information in the graph, what is the mode for the number of books the boys read?
Natalija [7]

Using the graph and the mode concept, it is found that the mode for the number of books the boys read is given by:

  • A. 3

<h3>What is the mode?</h3>
  • The <em>mode </em>of a data-set is the <u>number that appears the most times</u> in it.

In this problem, the data-set is composed by the number of books read by boys each day, and is {7, 2, 3, 5, 3}.

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You can learn more about the mode concept at brainly.com/question/24732674

4 0
2 years ago
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