Answer:
The vertex is (3,4)
Step-by-step explanation:
f (x) = x^2 - 6 x + 13
Completing the square
-6/2 = -3 and squaring it = 9
= x^2 -6x +9 +4
= ( x-3) ^2 +4
The equation is now in vertex form
a( x-h) ^2 +k
where the vertex is ( h,k)
The vertex is (3,4)
Answer:
Length = 72 mm
Width = 46 mm
Ratio = 72:46 = 36:23
Step-by-step explanation:
72 and 36 both are divisible by 2. so when we divide them by two we get 36 and 23. we can divide both the sides only with the same number, but 36 and 23 have no common factors. so we leave it here and this is the answer.
Answer:
24x^4+18x^3-15x^2 -42x-24
Step-by-step explanation:
(6x^2-3x-6)(4x^2 +5x+4)=
6x^2*4x^2 +6x^2*5x+6x^2*4
-3x*4x^2 - 3x*5x-3x*4
- 6*4x^2 -6*5x-6*4=
24x^4+30x^3+24x^2-12x^3-15x^2 -12x
-24x^2-30x-24=
24x^4+18x^3-15x^2 -42x-24
