For this case we have the following equation:

We apply distributive property on the left side of the equation:

We simplify the left side of the equation:

Different signs are subtracted and the major sign is placed.

On the right side we must take into account that:

So:

We add x to both sides of the equation:

We subtract 2 from both sides of the equation:

We multiply by 3 on both sides of the equation:

We divide by 8 on both sides of the equation:

Thus, the solution of the equation is:

Answer:

Your equation is a circle where the center is the origin (0, 0) and the radius is 5. With the translation, the new center is (- 7, - 2). Radius stays the same.
Your new equation is:
(x + 7)² + (y + 2)² = 25
Answer:
neither, since the gradients are not the same, as well as the c value
Step-by-step explanation:
Answer:

Because the 
The integral converges to 
Step-by-step explanation:
For this case we want to find the following integral:

And we can solve the integral on this way:


And if we evaluate the integral using the fundamental theorem of calculus we got:

Because the 
The integral converges to 
20 less than 1000 is the same thing as 1000 minus 20.
1000 minus 20 is 980.
20 less than 1000 is 980.