Alexandra is scuba diving. every 5 minutes an alarm goes off, and she checks her instruments and makes note of her depth. the depth readings from her first 20 minutes of diving are shown in the table below.
elapsed time (in minutes)
depth (in meters)
0
0
5
–12.45
10
–9.7
15
–22.98
20
–6.6
which best represents the greatest amount of change in her depth over a single 5-minute period?

After 15 minutes she reached -22.98 meters best represent the the greatest amount of change in her depth over a single 5-minute period.

Step-by-step explanation:

Given:  Alexandra checks her instruments and makes note of her depth in every 5 minutes.

From the given depth readings from her first 20 minutes of diving we can see the greatest amount of change in her depth over a single 5-minute period is -22.98 meters.

Hence, after 15 minutes she reached -22.98 meters best represent the the greatest amount of change in her depth over a single 5-minute period.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.