The equation factored would be (x+7)(x-2). As 7-2=5 and (7)(2)=14.
Answer:
The total distance covered in 1 hour is 4000 meters.
Step-by-step explanation:
The distance Ami'yan runs is 15 minutes = 1 kilometer
Using the unit formula,
The distance ran in 1 minute = 
Now, 1 hour = 60 minutes
⇒The distance covered in 60 minutes = 60 x (Distance run in 1 minute)
= 
So, the distance covered in 1 hour = 4 kilometer
1 kilometer = 1000 meters
⇒ 4 km = 4 x 1000 meters = 4000 m
Hence, the total distance covered in 1 hour = 4000 meters.
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
Answer D, 4 sets of -3 jumps to reach -12
Answer:
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Step-by-step explanation:
