The function s(l) = 1.34 √l models the maximum speed s in knots for a sailboat with length l in feet at the waterline. a. use the model to find the length of a sailboat with a maximum speed of 12 knots. round to the nearest foot.

The length of the sailboat is 80 feet.

Step-by-step explanation:

The function  

................ (1)  

models the maximum speed s in knots for a sailboat with length l in feet at the waterline.

So, using this model we have to find the length of a sailboat with a maximum speed of 12 knots.

Now, from equation (1) we get

⇒

⇒ feet (Answer)

{The value is round to the nearest foot}

a c

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b