Answer:
<em>Direction of the boat is 43.05° and the speed is 21.66 knot</em>
<em></em>
Step-by-step explanation:
yacht speed = 20 knots
yacht bearing = 185° = 85° below the negative horizontal x-axis
wind speed = 15 knots
wind bearing = 290° = 20° above the negative horizontal x-axis
we find the x and y components of the boat velocities
for yacht,
x component = -20 cos 85° = -1.74 knots
y component = -20 sin 85° = -19.92 knots
for the wind,
x component = -15 cos 20° = -14.09 knots
y component = 15 sin 20° = 5.13 knots
total x component Vx = -1.74 + (-14.09) = -15.83 knots
total y component Vy = -19.92 + 5.13 = -14.79 knots
Resultant speed of the boat =
==>
= <em>21.66 knot</em>
<em></em>
direction of boat = 
==>
= <em>43.05°</em>
The answer would be C because it’s the only fraction that does not equal 0.4
Answer: Undefined
The x coordinates are the same, so a vertical line forms. All vertical lines have undefined slopes.
We can see it through the slope formula
m = (y2-y1)/(x2-x1)
m = (3-(-6))/(2-2)
m = (3+6)/(2-2)
m = 9/0
We cannot divide by zero, so the result is undefined.
Both sets of numbers have the same factors:
12 × 12:
= (2× 2× 3) × (2 × 2 × 3)
= 2^4 × 3^2
6 × 24
= (2 × 3) × (2 ×2 × 2 × 3)
= 2^4 × 3^2