Eric starts with 10 milligrams of a radioactive substance. the amount of the substance decreases by 12 each week for a number of weeks, w . he writes the expression 10(12) 10 ( 1 2 ) w to find the amount of radioactive substance remaining after w weeks. andrea starts with 1 1 milligram of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w . she writes the expression (1−0.2) 1 - 0 . 2 w to find the amount of radioactive substance remaining after w weeks. use the drop-down menus to explain what each part of eric’s and andrea’s expressions mean.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

the answer would be  

a.

3: 1

step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²