Answer:

Step-by-step explanation:
Given a circle centred at the point P(-4,-6) and passing through the point
R(2,2).
To find its equation, we follow these steps.
Step 1: Determine its radius, r using the distance formula
For point P(-4,-6) and R(2,2)

Step 2: Determine the equation
The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: 
Centre,(h,k)=P(-4,-6)
r=10
Therefore, the equation of the circle is:

Answer: OPTION C.
Step-by-step explanation:
1. To solve this problem you must apply the Pythagorean Theorem, which is shown below:

Where a is the hypotenuse, and b and c are the legs of the triangle.
2. When you solve for one of the legs and substitute values, you obtain that the result is:

K.E=0.5mv^2
GPE=mgh
The child has both K.E and GPE


g is taken as 9.81
Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
V = (3.14) (4 in)² (5 in)
V = 251.2 in³
Volume of a cone is:
V = ⅓ πr²h
V = ⅓ (3.14) (4 in)² (15 in)
V = 251.2 in³
The volumes are equal.
If a car goes from 0 to 60 mph in 8.0 seconds, its acceleration would be 60/8 which is equal to 7.5mph/sec