Answer:
a. Yes
b. Yes
c. Yes
d. No
Step-by-step explanation:
a. Because -10x+4x=6x
b. 2(12-3x)=2*12-2*3x=24-6x
c. 24 and -6x just switched places.
d. 24x-6x=18x not 24-6x
To find the inverse of a relation, we switch the x and y values in each point.
So the inverse would be {(4, -3), (0, -1), (0, 6).
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
Well CD and CB are both equal to each other because they’re the same angles , it’s a reflection