Question

Drag the tiles to the correct boxes to complete the pairs. Given that x = 3 + 8i and y = 7 - 1 match the equivalent expressions:

a) -8 - 4y
b) -15 + 19x
c) 58 + 1061y
d) -29 - 53i

Answer 1

To match the equivalent expressions, we need to replace the variables with their corresponding values using x = 3 + 8i and y = 7 - 1. The matching expressions are: a) -8 - 4y, b) -15 + 19x, c) 58 + 1061y, and d) -29 - 53i.

Step-by-step explanation:

To match the equivalent expressions, we need to replace the variables in each expression with their corresponding values using x = 3 + 8i and y = 7 - 1. Let's go through each option one by one:

a) -8 - 4y = -8 - 4(7 - 1) = -8 - 4(6) = -8 - 24 = -32

b) -15 + 19x = -15 + 19(3 + 8i) = -15 + 57 + 152i = 42 + 152i

c) 58 + 1061y = 58 + 1061(7 - 1) = 58 + 1061(6) = 58 + 6366 = 6424

d) -29 - 53i = -29 - 53(3 + 8i) = -29 - 159 - 424i = -188 - 424i

Therefore, the matching equivalent expressions are: a) -8 - 4y, b) -15 + 19x, c) 58 + 1061y, and d) -29 - 53i.