What is the standard form of 7 + 3i / 2 - 5i A. -29/21 + 4/21i

B. -29/21 - 4/21i

C. 1/29 - 41/29i

D. -1/29 + 41/29i

Step-by-step explanation:

7 + 3i / 2 - 5i would be clearer if written as (7 + 3i) / (2 - 5i).  We must remove the symbol i from the denominator, and that can be accomplished by multiplying both 7 + 3i and 2 - 5i by the conjugate 2 + 5i:

(2 + 5i)(7 + 3i)

     4 + 29

which simplifies to     14 + 6i + 35i - 15 over 33, or

-1 + 41i

    33

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d