The temperature at midnight would be -14*F. Subtract 10 from -4 and you get -14*F
Answer:
36
Step-by-step explanation:
10% of 360=10/100*360=1/10*360=360/10=36
Answer:
(-1,3)
Step-by-step explanation:
so y=x+4 and y=-2x+1
obviously, y=y
so that means that x+4 is equal to -2x+1
let's use that
y=x+4,y=-2x+1
y=y
x+4=-2x+1
x+2x=1-4
3x=-3
x=-1
y=x+4
y=(-1)+4
y=3
(-1,3)
Hey There!
80+70 is 150
180
-150
is 30 so 30 must be your answer
Hope This Helps!!!
Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
