Each member of the relay team will run 2 laps around the field. If there are 4 people on the relay team, how would you
figure out how many total laps will be run

  8 laps

Step-by-step explanation:

You can simply add up the number of laps:

 (1st student laps) + (2nd student laps) +(3rd student laps) +(4th student laps)

 = 2 laps + 2 laps + 2 laps + 2 laps

 = 8 laps . . . . total for the 4 students

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Many people find it tedious to add the same number over and over, so they make use of the invention of multiplication. If you want to add 4 twos, you can simply multiply 4 times 2 to get the result.

  total laps = (laps/student) × (number of students)

  = (2 laps/student) × (4 students) = 8 laps

Additional comment

May people look at this and say "word problem!" and then turn off their brain and go into a state of shock.

It is more productive to read the words, and use your imagination to visualize the scenario and what the question is asking. If you imagine 4 team members standing at the starting line and anticipating running 2 laps (each), the total number of laps should be so obvious that you don't even have to think about how you arrived at the solution.

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.