Which is the product of the following numbers? −4 (−3 + 9i )( 5 − 6i )

expand (- 3 + 9i )(5 - 6i ) using the FOIL method

= - 4 (- 15 + 18i + 45i - 54i² ) → i² = (√- 1 )² = - 1

= - 4 (- 15 +63i + 54 )

= - 4 (39 + 63i ) ( distribute by - 4 )

= - 156 - 252i ← in standard form

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

the answer is 48m^2!

step-by-step explanation: