Acertain rectangle has an area of x^2+7x+12. factor the trinomial to find the length and width of the rectangle. ( show the steps for working this out)

(x + 3)(x + 4)

Step-by-step explanation:

To factor the trinomial

Consider the factors of the constant term ( + 12) which sum to give the coefficient of the x- term ( + 7)

The factors are + 3 and + 4, since

3 × 4 = 12 and 3 + 4 = 7, hence

x² + 7x + 12 = (x + 3)(x + 4)

Thus length can be x + 3 or x + 4 and

the width can be x + 4 or x + 3

the correct answer is d

hope this

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752