9514 1404 393
Answer:
(c) dZ/dt = 11/√544, so moving away at about 0.47 m/s
Step-by-step explanation:
The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.
(x -12)^2 + (y -7)^2 = 25
2(x -12)x' +2(y -7)y' = 0
y' = -(x -12)/(y -7)x'
At the time and point of interest, we have ...
y' = -(15 -12)/(11 -7)(1) = -3/4
__
The distance (z) to the observer is given by the Pythagorean theorem:
z^2 = (x -0)^2 +(y -2)^2
and its rate of change with time is ...
2z·z' = 2(x-0)x' +2(y -2)y'
The distance d at the point of interest is ...
z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34
So, the rate of change of distance to the observer at the time and point of interest is ...
z' = (x(x') +(y -2)y')/z
z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)
z' = 11/√544 ≈ 0.47 . . . m/s
What????? Um I’m so sorry I don’t know
Answer:
Step-by-step explanation:
Given
Parabola has x-intercept has
and 
and Y-intercept as 
Now the general equation of parabola is

Substitute
in
we get

Now substitute
in equation 

Now substitute
in equation 

Solving
and
we get

therefore


Answer:
5
Step-by-step explanation:
Calculate slope by choosing two points. (1, 5) and (2, 10)
slope = (10 - 5) / (2 - 1) = 5/1 = 5
Answer:
- z+5+101=180°( being straight angle)
- z=180°-106°
- z=74°
<h3>hope it helps.</h3><h3>stay safe healthy and happy</h3><h3 />