Which pair of complex numbers has a real-number product? * (1 + 3))(61)
* (1 + 3) (2-3)
* (1 + 3) (1-3)
* (1 + 3) (31)

(1 + 3i)(1 - 3i)

Step-by-step explanation:

The product of a complex number and its conjugate produce a real number.

given a ± bi the conjugate is a ∓ bi ← where a and b are real, then

(a + bi)(a - bi)

= a² - b² ← a real number

The only pair of conjugate complex numbers in the list is

(1 + 3i)(1 - 3i)

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.