Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²

Differentiating with respect to t


Since the car driving towards the intersection at 13 m/s.
so,

Now



= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
In the default window of a graphing calculator, there is only one intersection that you see.
However, if you zoom out, you will see that they are 3 intersections to the pair of equations.
Answer:
Step-by-step explanation:
6
Answer:
Step-by-step explanation:
The rate of change is equal to (y2-y1)/(x2-x1) where (x1,y1)=((0,150) and (x2,y2)=(5,0). Therefore the rate of change equals (0-150)/((5-0)=-30 songs/week. This is equal to the slope of the line that goes through these two points. The initial value is the y coordinate of the point when x=0 which is 150. The equation of the line is y=-30x+150, and this is the slope-intercept form (y=my+b) where m is the slope of the line and b is the y-intercept.
(4.81 x 10^3) + (7.913 x 10^5)
(4810)+(791300) = 796,110 OR (79611 x 10)