Answer:
w = 3
Step-by-step explanation:
-6(w - 4) + 8W=6(w + 2)
-6w + 24 + 8w = 6w + 12
2w + 24 = 6w + 12
12 = 4w
3 = w
Answer:
Step-by-step explanation:
slope=m=(Y2-Y1)/(X2-X1)
As given values
take, (X1,Y1)=(-7,-4)
(X2-Y2)=(8,8)
hence X1=-7 , Y1= -4 , X2=8 , Y2= 8
putt the values in the above equation of slope we get ,
m=(8-(-4))/(8-(-7)
m=12/15 Ans
Answer:
13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
_____
The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
d = √((15t)² + (45+5t)²)
When you know the coordinates of a point and the slope of a line, you can use the formula
in your case, 
and 
, so you have
]Answer:
79.5
Step-by-step explanation:
just multiply 13.25 by 6 :D hope that helps
