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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answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point