Which shows the expression below simplified? 0.00048 ÷ (6 × 10-4) a 8 × 10-2 b 8 × 10-1 c 8 × 101 d 8 × 100

0.00048 ÷ (6 × 10-4)  should be rewritten as 0.00048 ÷ (6 × 10^(-4) ).  The symbol " ^ " denotes exponentiation.  Without parentheses here, it appears that you want to subtract 4 from 10, which is inappropriate.

First focus on the " (6 × 10^(-4) )"  This is equivalent to  6 / (10^4).  To divide 0.00048 by 6 / (10^4), invert the divisor and then multiply:

0.00048 * (10^4 / 6) = 0.00008*10^4, or  8*10^(-5)*10^(4) = 8*10^(-1) = 8/10 = 0.8.

Note that all of the possible answer choices need to be re-written.  10-1, for example, must be re-written as 10^(-1).

A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2

Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.

So now you have:
(x+4)^2 + (y-2)^2 = radius^2

So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.

The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.

Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29