Answer:
Step-by-step explanation:
so to solve this you have to be smart.
6yd and 5y^2
s.a=2lw+2wb
yb=86/7 = 42/855
9/6=2 and 2^2=4
therefore leaving us with 87in^2
ez stuff just think
Place the dock at (0, 0) in the xy-plane. At 5:00 P.M. boat A is at (0, 0). It's position after 5:00 P.M. is given by (0, -20t) where t is in hours. At 6:00 P.M. boat B is at (0, 0). That's 1 hour after boat A left the point (0, 0) so 1 h x 15 Km/h=15 Km which means at 5:00 P.M. boat B was 15 Km west of the dock at (0, 0) which means it was at (-15, 0) at 5:00 P.M. Boat B's position after 5:00 P.M. is therefore (-15+15t, 0). Use the distance formula to find the distance between the two boats.
<span>d=√((x2-x1)²+(y2-y1)²) </span>
<span>=√((-15+15t-0)²+(0+20t)²) </span>
<span>=√(225-450t+225t²+400t²) </span>
<span>=√(225-450t+625t²) </span>
<span>Find the derivative </span>
<span>d'= (1/2)(225-450t+625t²)^(-1/2)(-450+1250t) </span>
<span>Set equal to zero and you get </span>
<span>-450+1250t=0 </span>
<span>t=450/1250 </span>
<span>=0.36 h=22 minutes </span>
Answer:
slope =
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (8, 8) ← 2 points on the line
m = = =
Answer:
slope =
Step-by-step explanation:
Calculate the slope using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (5, 6)
m = =
Y= 7.75x because 31/4 = 7.75 and 54.25/7= 7.75 so the amount he charges per hour is $7.75