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creativ13 [48]
3 years ago
7

Which of the following are solutions to the equation sinx cosx = 1/4? Check all that apply.

Mathematics
2 answers:
N76 [4]3 years ago
8 0
The solution is <span>B. π/12+nπ

</span>proof 
sinx cosx = 1/4 is equivalent to  2 <span>sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = </span>π/6 + 2nπ,  so x = π/12+nπ
Xelga [282]3 years ago
4 0

Answer:

Its B and D.

Step-by-step explanation:

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In a rational function, is the horizontal shift represented by the vertical asymptote?
ziro4ka [17]
<h3>Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>

A bit of further explanation:

The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.

Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h

For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.

7 0
2 years ago
A bee beats its wings 250 times each second. What is the average time for a single beat of a bee's wing?
Marat540 [252]
I'm not sure, but the average time can be 1/250 seconds.
8 0
3 years ago
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A certain game and fun center charges a fee to rent the party room for birthday parties plus an additional fee per guest. The gr
anygoal [31]

Answer:

i Believe c

Step-by-step explanation:

8 0
2 years ago
Please help Thank you
lara [203]

Answer:

75 degrees

Step-by-step explanation:

let x unknown number

5x+10x+9x=180

24x=180

x=7.5

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7 0
2 years ago
Given: y=x^2-4x-12
sergeinik [125]

Answer:

see below

Step-by-step explanation:

y=x^2-4x-12

Set equal to 0 to find the zeros

0 =x^2-4x-12

Factor.  What 2 numbers multiply to -12 and add to -4

-6*2 = -12  

-6+2 = -4

0= (x-6) (x+2)

Using the zero product property

0=x-6         0 = x+2

x=6            x = -2

zeros: -2,6

Vertex

h = -b/2a = - (-4)/ 2(1) = 4/2 = 2

OR  Average the roots  (-2+6)/2 = 4/2 =2

The y coordinate is found by substituting into the equation

y = (2)^2 -4(2) -12

y = 4-8-12

y =-16

vertex : (2, -16)

8 0
3 years ago
Read 2 more answers
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