100 point pls drag the tiles to the correct boxes to complete the pairs. given that x = 4 + 5i and y = 2 - 9i, match the equivalent expressions. 1. 53 - 26i 2. 106 - 52i 3. 2 - 32i 4. 14 + 29i tiles : 2x (y) -x + 3y x (y) 4x - y

real part of x(y)=4*2-(-9*5)=53 so 1 is x(y): real part of x(y)=

real part of 2x(y)=2*53=106 so 2 is 2x(y)

real part of -x+3y=-4+6=2 so 3 is -x + 3y

real part of 4x-y=16-2=14 so 4 is 4x - y

1. 53 - 26i =  x(y) cuz' real xy=4*2+9*5=53

2. 106 - 52i = 2x(y) cuz real 2xy=2*53=106

3. 2 - 32i = -x + 3y cuz real -x+3y=-4+3*2=6

4. 14 + 29i = 4x - y cuz real 4x-y=4*4-2=14

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!