Answer:
Step-by-step explanation:
x+10=0
x=-10
so vertex is (-10,-105)
Answer:
1227 is correct ................................................
Step-by-step explanation:
Answer:
the volume of a cone = 1589.625feet³
Step-by-step explanation:
given that the diameter of the cone = 15inches
radius = 15inches/2 = 7.5inches
height of the cone = 27 inches
volume of the cone = ?
recall that
the formulae for finding the volume of a cone is given to be
= 1/3πr²h
the volume of a cone = πr² h/3
the volume of a cone = 3.14 × ( 7.5)² × 27/3
the volume of a cone = (3.14 x 56.25 x27)/3
the volume of a cone = 4768.875/3
the volume of a cone = 1589.625feet³
Because of the relatively large coefficients {9, 42, 49}, applying the quadratic formula would be a bit messy. Instead, I've chosen to "complete the square:"
9x^2 + 42x + 49 = 0 can be re-written as 9 [ x^2 + (42/9)x ] = -49
Dividing both sides by 9, we get [ x^2 + (42/9)x ] = - 49/9
Completing the square: [ x^2 + (42/9)x + (21/9)^2 - (21/9)^2 ] = -49/9
[ x + 21/9 ]^2 = 441/81 - 441/81 = 0
Then [ x + 21/9 ] = 0, and x = -21/9 (this is a double root).
30
1 x 30
1 x (15 x 2)
1 x (3 x 5 x 2)
so ur answer is 1 x 3 x 5 x 2...which are all prime numbers
