CPhill

1). 12x ; 15x²  = 

Answer  = 60x² 

Factors are 4, 3, 5 and x^2   multiply them together......we get 60x^2

This one is correct

2). 2m; m2 – 4m + 4; 4m² – 8m 

Answer = 4m(m – 2)² 

2m,  m(m - 2) (m - 2), 4m(m - 2)

So ...  we need .... 4, m, and (m -2)^2  =

4m(m - 2)^2

And this one is correct, as welll !!!

Good job...!!

W = L + 4   ...so......

(L)(L + 4) = 320  simplify

L^2 + 4L - 320 = 0      factor

(L - 16) (L + 20) = 0       and setting each factor to 0, we have that x = 16 or x = -20

Reject the negative

So,  L = 16   and W = L + 4 = 20

[(x - 3)/(x + 7)]  /  [(x + 1) /(x + 7) ]=    invert the second fraction and multiply

[(x - 3) / (x + 7) ] * [ (x + 7) / (x + 1)]  =   "swap" denominators

[(x - 3) / (x + 1)] * [(x + 7) /(x + 7) ] =

(x -3) / (x + 1)

8 thousand......

Here's a graph that might help explain what geno is describing.......

The common factors are 2, 4 and 8

The greatest common factor is 8

We can solve this using similar triangles

5 / 4 = x / 18     multipy both sides by q8

18(5 / 4) = x = 22.5 ft  = 22 ft 6 in.

So we have

4500 = pi * r^2 * 4     divide both sides by 4 pi

4500/[4 pi] = r^2  = (1125/pi)   take the sq root of each side

√(1125/pi) = r = about 18.923 ft   (at most)

So the circular area is just pi * r^2  = pi *(18.923)^2 = about 1124.94 sq ft  (at most)

( 2 + x - x^2) / ( 6 + 7x + x^2)   factor

[(2 - x)(1 + x)] / [(6 + x)(1 + x)] =

(2 - x) / ( 6 + x)

100000/365 = about 273.9 years