Answer:
x=1/5y+−4/5
Step-by-step explanation:
Let's solve for x.
y=5x+4
Step 1: Flip the equation.
5x+4=y
Step 2: Add -4 to both sides.
5x+4+−4=y+−4/5x=y−4
Step 3: Divide both sides by 5.
5x/5=y−4/5x=1'5y+−4'5
Answer:
x=1/5y+−4/5
( I hope this was helpful) >;D
Answer:
choice a
Step-by-step explanation:
5/9 = 0.56
11/20 = 55/100 = 55%
So that means 5/9ths is bigger than 11/20ths
Hope this helped, trust me i know best:)
Answer:
87
Step-by-step explanation:
348 divided by 4
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)
