The locus is the circle with its radius that size and its center at that point.
Its equation is (x+3)^2 + (y+1)^2 = 81.
The arrangement of the Eastern and Western lighthouses and the position of the boat are as shown in the attached diagram.
Using sine rule,
28/Sin 37 = 40/Sin B => Sin B = (40 Sin 37)/28 = 0.8597 => B = Sin ^-1(0.8597) = 59.287°
Therefore,
Angle E = 180 - (37+59.287) = 83.713°
Using the sine rule again;
BW/Sin E = 28/Sin 37 => BW = (28 Sin 83.713)/Sin 37 = 46.246 ≈ 46.27 miles.
The boat is 46.27 miles from the western lighthouse. The correct answer is A.
Answer:
The x-intercept is 5 and the y-intercept is 20. To find the x-intercept plug in y = 0 into the equation and then solve for y and to find the y-intercept plug in x = 0 into the equation and solve for y.
Answer:
d)
Step-by-step explanation:
17
d)