Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s
b) 527/24 Ft²/s
c) 2/25 rad/sec
Step-by-step explanation:
a) b=7 ; a^2+b^2 = 25^2
a^2+b^2 = 625
Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.
b) Area of the triangle = 1/2 * b*h
differentiate wrt to time leads to the following relation:

c) sin (Θ) = b/25
differentiate it again to give

The first one is (1,10)
The second one is (1,5)
The third one is (0.5,10)
I hope this helps
Answer:
y =
x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 5 ← is in slope- intercept form
with slope m = 
Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (- 6, - 5) into the partial equation
- 5 = - 8 + c ⇒ c = - 5 + 8 = 3
y =
x + 3 ← equation of parallel line
Answer:

Step-by-step explanation:
Expand the binomial and collect terms.
Answer:
$6.17
Step-by-step explanation:
Divide 30.85 by 5 to get the price of each book. Each book was $6.17
I hope this helped