Answer:
(a) (x-2)^2 +(y-2)^2 = 16
(b) r = 2
Step-by-step explanation:
(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.
Circle centered at (h, k) with radius r:
(x -h)^2 +(y -k)^2 = r^2
The given circle is ...
(x -2)^2 +(y -2)^2 = 16
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(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:
r = 2
The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken.
The speed that a tsunami can travel is modeled by the equation
s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.
S = 356√d
200 = 356√d
√d = 200/356
= 0.5618
d = 0.5618^2
= 0.316 km
d = 0.32 km.
Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
Learn more about speed;
brainly.com/question/4723349
Answer:
y = -x + 9
Step-by-step explanation:
✔️Find the slope using (9, 0) and (7, 2):
Slope (m) = -1
✔️Find the y-intercept (b):
The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9
✔️Substitute m = -1 and b = 9 into y = mx + b
Thus,
y = -1(x) + 9
y = -x + 9
Answer:
161,084,000
Step-by-step explanation:
7 x 11,506,000 = 80,542,000
80,542,000 x 2 = 161,084,000
