Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
1+8=3r
9=3r
Both divided by 3
3=r
Answer:
2/10 miles
Step-by-step explanation:
2 x 1/10 = 2/10
Answer:
26 ft and 46 ft.
Step-by-step explanation:
The prime factors of 42 are 2 * 3 * 7.
Possible lengths and widths are:
L = 7, W = 6 giving a perimeter of 2*7 + 2*6 = 26 ft.
L = 14 , W = 3 giving perimeter = 34 ft.
L = 21, W = 2 giving perimeter = 46 ft.
