A line graph titled Video Rental Stores has year on the x-axis and stores (thousands) on the y-axis. In 2009, there were 4,000 s
2 answers:
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Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle: , where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE =
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.
Answer:
Factor by which kinetic energy increase = 4 times
Step-by-step explanation:
Given,
- Mass of the car, v1 = 1500 kg
- initial speed of car = 35 miles/h
= 15.64 m/s
Initial kinetic energy of the car is given by,
= 183606.46 J
- Final velocity of car v2 = 70 miles/hour
= 31.29 m/s
So, final kinetic energy of car is given by
= 734425.84 J
Now, the ratio of final to initial kinetic energy can be given by,
Hence, the kinetic energy will increase by 4 times.