Mrs. Lopez decided to have a circular kitchen in her house. The center part of the kitchen is located on the y-axis and the distance from the center to its door is 10 meters and passing through the origin. a. Where is its center located?

b. Determine the equation of the circular kitchen in standard and general form.

c. If the table from the kitchen is located at (3, 2), find the location of the table if inside, outside or on the circular kitchen.

Hiroki wrote a number that is the opposite of -3. what number did hiroki write? a. ⅓ b. 3 c. 0 d. -3

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

The sum of the squares of two numbers is 8 . the product of the two numbers is 4. find the numbers.