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Triss [41]
2 years ago
5

What is the general equation of a sine function with an amplitude of 6, a period of startfraction pi over 4 endfraction, and a h

orizontal shift of startfraction pi over 2 endfraction?
Mathematics
1 answer:
natta225 [31]2 years ago
5 0

Answer:

  f(x) = 6·sin(8(x -π/2))

Step-by-step explanation:

A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...

  f(x) = A·sin(2π/P(x -S))

__

The equation for A=6, P=π/4, and S=π/2 is then ...

  f(x) = 6·sin(8(x -π/2))

_____

<em>Additional comment</em>

The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.

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What is the length of the hypotenuse of the triangle when x=10​?
Schach [20]

Answer:

84 (nearest whole number)

Step-by-step explanation:

If x = 10,

Longest leg = (7 x 10) + 4 = 74

Shortest leg = 4 x 10 = 40

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):

⇒ 74² + 40² = c²

⇒ 7076 = c²

⇒ c = √7076 = 84.11896...

⇒ hypotenuse = 84 (nearest whole number)

5 0
2 years ago
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Some help with this pleaseee!
lakkis [162]

Answer:

g(x) = |x| + 7

Step-by-step explanation:

Adding the constant +7 on the end of the equation means a translation 7 units up.

6 0
3 years ago
What is the number sentence using addition. ...the answer is 34
tatuchka [14]
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8 0
3 years ago
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There were 27,000 people at a ball game in Los Angeles. The day's receipts were $204,000. How many people paid $13 for reserved
Studentka2010 [4]
21000 people paid for general admission and 6000 paid for reserved seats. This is solved by making 2 equations. Out of 27000 people who were at game, x of them paid for general admission and y for reserved seats, thus
x + y = 27000
As said, daily receipts were 204000$. As reserved seat is 13$, y of them gave 13$ each (y*13$) and x of them gave 6 for general admission(x*6) and those two add up and we get second equation
13y + 6x = 204000.
This can be solved by transforming first equation into x = 27000 - y and then replacing the x in second.
13y + 6*(27000 - y) = 204000
13y + 162000 - 6y = 204000
7y = 42000
y = 6000
x + 6000 = 27000
x = 27000 - 6000 = 21000
5 0
3 years ago
antonio's father bought tickets to the planetarium he bought 5 tickets each ticket cost $14 what was the total cost for the 5 ti
Deffense [45]
$70
Multiply 14×5 for the answer beacuse
1 ticket=14, so 5 tickets would be $70
4 0
3 years ago
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