The complex conjugate of a + bi is a - bi
So, the complex conjugate of -8 + 12i is -8 - 12i.
Answer:
yes
Step-by-step explanation:
functions have one input for every output.
the input side has unique and individual numbers therefore it's a function.
Easy
y=a(x-h)^2+k
vertex is (h,k)
we know that vertex is (4,0)
input that point for (h,k)
y=a(x-4)^2+0
y=a(x-4)^2
passes thorugh the point (6,1)
input that point to find a
1=a(6-4)^2
1=a(2)^2
1=a(4)
divide both sides by 4
1/4=a
thefor the equation is
y=(1/4)(x-4)^2
or
y=(1/4)x^2-2x+4
Answer:
16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
=5(9) - 27 -2
= 45-29
= 16 !
Answer:
Step-by-step explanation:
Here is a tip: When you have something that looks like this - ( - , turn it into a plus sign. It looks kind of like a plus sign anyway. So if you have 53- (-32), turn it into 53 + 32. Does that make sense?
So 53 + 32 = 85.
Another tip to do it in your head, is to do 50 + 30 = 80, then do 3 + 2 = 5, and add them. It's easier than trying to juggle the odd numbers. :)
