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stellarik [79]
3 years ago
5

19. The midpoint of JK is M(0, 1). One endpoint is /(-6, 3). Find the coordinates of

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Answer:

(6,-1)

Step-by-step explanation:

let coordinates of K be (x,y) then

0=\frac{-6+x}{2}\\or~-6+x=0\\x=6\\1=\frac{3+y}{2}\\y+3=2\\y=2-3=-1\\so ~K~is ~(6,-1)

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It takes 3 hours 15 minutes to fly from city A
Alex777 [14]

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19.5

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Step-by-step explanation:

5 0
3 years ago
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
Your work<br> START<br> f(x)=2x² – 12x-5
MrMuchimi

Answer:

range = (− 23 ,  ∞ )

domain = ( − ∞ ,  ∞ )

y-intercept = -5

5 0
3 years ago
What is the correct factorization of 5!?
Oksi-84 [34.3K]

Answer:

B) 5 x 4 x 3 x 2 x 1

Step-by-step explanation:

When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:

5! = 5 * 4 * 3 * 2 * 1

For example, take factoral 10: 10!

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800

In this case, you are multiplying 5!.

5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120

5! = 120

4 0
4 years ago
What is 550 divide by 76
harina [27]

Answer:

7.236

Step-by-step explanation:

4 0
3 years ago
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