ElectricPavlov

60 minutes to a full rotation of 360 degrees for the minute hand  = 6 degrees per minute

   13 minutes x 6 degrees/min = 78 ^o

   first letter consonant    21     x    5

       second letter consonant    5   x   21

           both letters different  vowels (different or alike)           5 x 5

105   + 105    + 25 = 235 'words' with at LEAST one vowel    

4x - 2y = 8     re-arrnge to

y = 2x -4        slope , m = 2    parallel slope is the same   m  = 2

point slope form of new line through 0, -8

   y - - 8 =  2 (x -0)

   y = 2x - 8                          ( could have just changed the y intercept to -8   to get this result with a little less calc)

Future amount = $ 60 ( 1 + .05)³

Z' = -2, 3

Five ways with the face up     five more ways with the face reflected to the back ....    10 ways

TOTAL AREA TO BE PAINTED

     2 x 10 x 20  +   2 x10x 16 = 720 ft²

720 ft² / 400 ft² /gal = 1.8 gal       you will need to purchase 2 gallons

The vertex of f(x) is given as  (1,-2)

   the vertex of f(x+8) will be shifted 8 units to the LEFT to  ( -7,-2 )    

Good work , CTP....I forgot to calculate the MAXIMUM   ....but you didn't !    ~ EP

Triangle side length rule

7 + x     must be greater than 12          x >5