Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?

14.4 units²

Step-by-step explanation:

The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S

Let the area of rectangle S be represented by x, therefore:

40 : x = 8² : 4.8²

40/x = 64/23.04

Cross multiply

x*64 = 40*23.04

64x = 921.6

x = 921.6/64

x = 14.4

Area of rectangle S = 14.4 units²

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

jwjeh; hw; kjhekjhkjhwkejhkw

step-by-step explanation: