Answer:8 planes are shown in the figure
Step-by-step explanation:
Answer:
x intercept=2, y intercept= -6
Step-by-step explanation:
X Intercept is when the graph crosses the X Axis, point of intersection. To find it, just convert into standard form and solve for x by getting rid of y.
The Y-intercept is where the line crosses the y-axis, point of intersection. It is the constant in the slope-intercept form.
Answer:
centre = (
, 1 )
Step-by-step explanation:
using the midpoint formula
midpoint = [
(- 1 + 4), (5 - 3) ] = (, 1 )
40 ÷ 2.40= 16.66
the teacher can buy 16 cookies
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
