x2 + y2 + 6x - 6y + 2 = 0
To complete square to a quadratic equation in its standard form we have:
ax2 + bx + c
Completing squares:
P (x) = (x + b / 2) ^ 2 - b ^ 2/4 + c
Keeping this in mind, we can complete square then:
x2 + y2 + 6x - 6y = -2
(x2 + 6x) + (y2 - 6y) = -2
((x + b / 2) ^ 2 - b ^ 2/4 + c) + ((y + b / 2) ^ 2 - b ^ 2/4 + c) = -2
((x + 6/2) ^ 2 - 6 ^ 2/4 + 0) + ((y + (-6) / 2) ^ 2 - (-6) ^ 2/4 + 0) = -2
((x + 3) ^ 2 - 9) + ((y - 3) ^ 2 - 9) = -2
((x + 3) ^ 2) + ((y - 3) ^ 2) - 9 - 9 = -2
((x + 3) ^ 2) + ((y - 3) ^ 2) - 18 = -2
((x + 3) ^ 2) + ((y - 3) ^ 2) = -2 + 18
((x + 3) ^ 2) + ((y - 3) ^ 2) = 16
((x + 3) ^ 2) + ((y - 3) ^ 2) = 4 ^ 2
Answer:
center: (-3, 3), r = 4
If the frequency of the sound wave is 2π/3, then the time period of the sound wave will be 0.447 seconds. Then the amplitude is 14.
<h3>What is wavelength?</h3>
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
A sound wave is modeled with the equation y = 14 cos (2π/3) θ.
The frequency of the sound wave will be
Then the time period will be
Then the amplitude of the sound wave will be
A = 14
To learn more about the wavelength refer to the link;
brainly.com/question/7143261
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Answer: 549 meters
Step-by-step explanation:
3 minutes and 3 seconds is the same as:
3 x 60 + 3 = 183 seconds
3 meters per second, multiplied by number of seconds gives us distance:
3 x 183 = 549m
Answer:
No, the 2 equations do not intersect on either the x or y axis
Step-by-step explanation:
To find the intersection point for this situation we can set the 2 equations equal to each other. Since they are both equal to y, they are equal to each other
-2x + 3 = x - 5
Solving the above problem will tell us the x value where the 2 equations have the same y value...
Get the x's to one side, and the constants to the other....
-2x - x = -5 - 3 (subtract x and 3 from both sides)
Now combine like terms...
-3x = -8
Divide both sides by -3 to isolate x
x = 8/3
Plug 8/3 in for 'x' into either equation to find the v-value
y = 8/3 - 5
y = 8/3 - 15/3
y = -7/3
The point of intersection is (8/3, -7/3)
No, the 2 equations do not intersect on either the x or y axis
3×60=180 seconds (60 seconds in 1 minute)
180×200,000,000= 36,000,000,000 calculations
