The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
The coordinates of B would be (2, -4)
In order to find this, we need to know that the value of M's points will always be the average of A and B's points. This is because it is the midpoint. Therefore we can use the following formula.
Value of x
(A + B)/2 = M
(-8 + B)/2 = -3
-8 + B = -6
B = 2
Then we can do the same for the y values
Value of y
(A + B)/2 = M
(-2 + B)/2 = -3
-2 + B = -6
B = 4
Divide both side by 2 ad you get x=80
Answer:
x + y = 330 and 9x + 16y = 4650
Step-by-step explanation:
At a museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum collects in admissions for the day is $4959. The total number of visitors is 319.
x = number of children
y = number of adults
x + y = 330
9x + 16y = 4650
