The answer would be 3 + 6i.
1. simplify brackets (-i + 6 - 3 + 7i )
2. gather like terms ( 6 - 3 ) + ( -i + 7i )
3. simplify
So in conclusion your answer would be 3 + 6i.
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
Indeed, men and women are not the same. They have structural differences in their genetic makeup that make them different and compatible with each other. In addition, they have differences in character, behavior, strength and even emotional sensitivity.
Even the scriptures themselves speak of differences between the two: according to the book of Genesis, the woman was created from the rib of Adam, the first man on earth. With this, the woman, theoretically, has one more rib than the man.
Answer:
2√15
Step-by-step explanation:
