If you want to make 10, you can take 3 from the 13 and add it to the 7. You will then have 10+10 which equals 20.
The answer is the top option.
A circle equation is :
( x - p )² + ( y - q )² = r², where p and q are coordinates of the center.
The position of the source is : ( - 6, - 4 ) and the range :
r² = 36 ⇒ r = 6
Answer:
0.128rad/sec
Step-by-step explanation:
Let x represent the between the man and the point on the path
θ = the angle
dx/dt = 4 ft/s
dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
tan θ = x/20 ft
Cross Multiply
20tan θ = x
dx/dt = 20sec² θ dθ/dt
dθ/dt = 1/20 × cos² θ dx/dt
dθ/dt= 1/20 × cos² θ × 4
dθ/dt = 1/5 × cos² θ
Note : cos θ = 4/5
dθ/dt = 1/5 × (4/5)²
dθ/dt = 16/125
dθ/dt = 0.128rad/sec
Answer:
Option 4
Step-by-step explanation:
Coordinances for a three-dimensional coordinate system are (x, y, z).
The letter labeling each axis is always on the positive side.
The fourth option is correct because you move 3 units away from the 'x', 1 unit away from the 'y', then 2 units toward the 'z'.
