Let the horizontal distance is x and vertical distance is y and the distance between them is z
z^2 = x^2 + y^2
2z(dz/dt) = 2x(dx/dt) + 2y(dy/dt) divide by 2
z(dz/dt) = x(dx/dt) + y(dy/dt)
when y = 45 , x = 0 because the boy was under the balloon
after 3 secs: x = 15 * 3 = 45 , y = 5 * 3 = 15 , z = sqr(x^2 +y^2) = 75
z(dz/dt) = x(dx/dt) + y(dy/dt)
75(dz/dt) = 45(15) + 15(5) = 975
dz/dt = 13 ft/sec
Answer:
Step-by-step explanation:
<u>Proportional relationship is:</u>
- y = kx, where k is the constant of proportionality
We have a point (5, 2). it means x = 5, y = 2
<u>Substitute x and y and find k:</u>
60 explination, its pretty simple
Answer:
5/6
Step-by-step explanation: