Given that x = 3 + 8i and y = 7 - i, match the equivalent expressions.

The correct matches of the following operations are:

Given the complex numbers

x = 3 + 8i and y = 7 - i,

To get -x * y

-x * y = -(3-8i) * (7-i)

-x*y = (-3+8i)(7-i)

-x * y = -21+3i-56i-8(-1)

-x * y = -21-53i-8

-x * y = -53i - 29

For 2x - 3y

2x - 3y = 2(3+8i) - 3(7 - i)

2x - 3y = 6 + 16i - 21 + 3i

2x - 3y = 19i - 15

For -5x + y

-5x +  y = -5(3 + 8i) + 7 - i

-5x + y = -15 - 40i + 7 - i

-5x + y = -41i - 8

For x * 2y

x * 2y = (3 + 8i)*2(7-i)

x * 2y = (3 + 8i)(14-2i)

x * 2y = 42 - 6i + 112i - 16(-1)

x * 2y = 106i + 42 + 16

x * 2y = 106i + 58

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step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.