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Marina CMI [18]
3 years ago
6

Write an appropriate direct variation equation if y = 27 when x = 9

Mathematics
2 answers:
lesantik [10]3 years ago
6 0

Answer:  y=3x

Step-by-step explanation:

Yuri [45]3 years ago
4 0
Y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x
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Semmy [17]

Step-by-step explanation:

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5 0
3 years ago
8x+6+4x+38=180 what’s the answer
Pavlova-9 [17]

x= 34 /3  thats what I got 34/3=11.333333


7 0
3 years ago
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Factor completely 10x3+2x2+5x+1
antoniya [11.8K]
Hello,

10x^3+2x^2+5x+1\\
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7 0
2 years ago
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A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


4 0
3 years ago
Please help me find BD
Tanzania [10]

9514 1404 393

Answer:

  14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally, so you have ...

  (x+4)/8 = (2x+1)/12

  3(x +4) = 2(2x +1) . . . . . . multiply by 24

  3x +12 = 4x +2 . . . . . . . . eliminate parentheses

  10 = x . . . . . . . . . . . subtract (3x+2)

Then BD = x+4 = 10 +4.

The length of BD is 14 units.

_____

<em>Additional comment</em>

The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.

8 0
2 years ago
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