Perform the indicated operation and write the result in the form a + bi.
(4 + 9i) (7-4i)

The result of (4 + 9i)(7 - 4i) in the form of a + bi is 64 + 47i.

Solution:

Given, product term is (4 + 9i)(7 – 4i )

We have to find the result and write it a + bi form.

Multiplying the terms we get,

We know that value of is -1

= 28 – 16i + 63i – 36(-1)

= (28 + 36) + (63 – 16)i

= 64 + 47i

Hence, the result is 64 + 47i which is in form of a + bi

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1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours