x^2 - 3x -28 ≥ 0
factor
(x-7) (x+4) ≥ 0
x=7 x=-4
we have three regions where the answers can lie
x<-4 between -4 and 7 and x>7
pick a point and see if it works
x=-10
(-10-7) (-10+4) ≥ 0
negative * negative is greater than 0 so this is a solution x< -4
x=0
(0-7) (+4) ≥ 0
negative * positive is less than 0 so this is not a solution
x=10
(10-7) (10+4) ≥ 0
positive * positive is greater than 0 so this is a solution x>7
We have two regions that work
x<-4 and x>7
Answer:
479,001,600 different arrangements
Step-by-step explanation:
Answer:
The shape of each cross-section of a 3D figure, relates to the volume because the area of the cross-section is determined by its shape and the area of this cross section is in the sum that calculates the volume of this 3D figure.
Step-by-step explanation:
An infinite sum of all the all the cross-sections of a 3D figure parallel to the base equals the volume of that 3D figure.
C. Use the formula for area of a triangle 1/2(Base * Height). Using that we see that we have 1/2(a*b) + 1/2(c*c) + 1/2(a*b). Cleaning this up we get 1/2(2ab+c^2)
Answer:
Well, it's the perimeter, so...40.
You just calculate the perimeter of a rectangle with the lenght of 12 and width of 8, by the formula

or you can factor it out.