Answer:
a = -4.
Step-by-step explanation:
25(√5)^a * (√5) ^3 = 5√5
25*5^a/2 * 5^3/2 = 5*5^1/2
25*5^a/2 = 5*5^1/2 / 5^3/2
25*5^a/2 = 5^1 *5^1/2 / 5^3/2
25*5^a/2 = 5^3/2 / 5^3/2 = 1
5^a/2 = 1/25 = 5^-2
The bases are equal, so
a/2 = -2
a = -4.
Answer:
The point is located at (0,7) is correct
The point is on the y-axis. is correct
Step-by-step explanation:
The point is located at (7,0). is wrong because first the x values comes and then y values come here the x value is 0 and y value is 7
The point is on the x-axis.this is also wrong as you can see that the point lies on y axis not x axis
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:
-5,3,4
Step-by-step explanation:
