Answer:
Step-by-step explanation:
8x+5y = 20
y = (-8/5)x + 4
slope of the line is -8/5.
slope of any perpendicular to the line is ⅝.
line of slope ⅝ that passes through P(4,5):
y-5 = ⅝(x-4)
y = ⅝x + 2.5
find intersection of lines
⅝x + 2.5 = (-8/5)x + 4
25x + 100 = -64x + 160
89x = 60
x = 60/89, y = 260/89
distance between (60/89, 260/89) and (4,5) = 3.92
Answer:
c) 10 feet
Step-by-step explanation:
Pythagorean theorum! Wonderful! (remember that c is the hypotenuse)
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
square root of 100 = c^2
10 = c^2
Answer:
200
Step-by-step explanation:
R(x) = 11x - 0.025x^2
Revenue is maximum when dr(x)/dx = 0
dr(x)/dx = 11 - 0.05x = 0
0.05x = 11
x = 11/0.05 = 220
The revenue will be maximum when 220000 toys are produced.
r(220) = 11(220) - 0.025(220)^2 = 2,420 - 1,210 = 1,210
Therefore, maximum revenue = $1210000
Answer:
The Answer should be B Retirement
