Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
Answer:
growth = 2 x day
^growth based off what day it is
^how much it grows per day
^ day at hand
2x14 (2 weeks)= 28 cm
?
Answer:
t = 10
t = 100
t = 1000
Step-by-step explanation:
The area under the curve is calculated by using the following definite integral:
Evaluated areas are presented below:
t = 10
t = 100
t = 1000
Answer:
Step-by-step explanation:
a is a¹ and you have a^7 in multiplication you add the exponents. If you were to have a numerical value, you would replace a and calculate. If a = -5 then: a^8 =
which is = 390 625
8^2= 8 times 8 = 64
8^4= 8 times 8 times 8 times 8= 4,096
