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Rus_ich [418]
3 years ago
10

Which of the following is the equation for a circle with a center of (−2, −3) and a radius of 7? (2 points)

Mathematics
2 answers:
frez [133]3 years ago
6 0

Answer:

1

Step-by-step explanation:

(x-h)^2+(y-h)^2=r^2

radius = 7 = 49

h,k = -2,-3

fill in the blanks

vodka [1.7K]3 years ago
4 0

Answer:

1. (x + 2)^2 + (y + 3)^2 = 49

Step-by-step explanation:

Circle equation: (x-h)^2 + (y-k)^2 = r^2

(h,k) = (-2,-3)

r = 7

(x+2)^2 + (y+3)^2 = 7^2

(x+2)^2 + (y+3)^2 = 49

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vivado [14]
3.88888=3.88888/1=38.8888888

so lets ssay our repeating decimal = a fraction x
x=3.888 is true
multiply by 10
10x=38.8888
now subtract fir frist eqation from second
10x-x=38.8888-3.888888
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divide both sides by 9
x=35/9
x=3 and 7/9

anser is 3.88=3 and 7/9

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A group of rowdy teenagers near a wind turbine decide to place a pair of
Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is y = 9 + 7* sin(\pi * t / 15 - \pi  / 6)

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

x^2 + (y-yc)^2 = R^2 ,

where  

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So,  is the trajectory path equation to the circle

Let x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi) be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t  

At t= 10s, y = 16 m so we have,

9 + 7 * sin(10* w + \phi) = 16 ---------------(1)

Also, at t= 25s, y =2 m so we have,

9 + 7* sin(25 * w +\phi) = 2--------------(2)

Solving we have, 10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2

15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6  

Therefore y = 9 + 7* sin(\pi * t / 15 - \pi  / 6) is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

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7
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Answer:

000

Step-by-step explanation:

000

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