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:

Step-by-step explanation:
So we have the equation:

First, separate the second term:

Let u equal 5ˣ. So:

Combine like terms:

Divide both sides by 6:

Substitute back u:

Take the base 5 logarithm of both sides:

The left cancels:

Evaluate the right:

So, our answer is 2.
And we're done!
Answer:
x=-3y+8
Step-by-step explanation:
2x+6y=16
2x=16-6y
2x=-6y+16
x=-6/2y+16/2
x=-3y+8
Answer:
.
Step-by-step explanation:
Step-by-step explanation:
The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm
ans.C