Answer:
Step-by-step explanation:
Starting from the y-intercept of ![\displaystyle [0, -2],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B0%2C%20-2%5D%2C)
you do 
by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:
<em>Greater</em><em> </em><em>than</em>
![\displaystyle 0 > 4[0] - 2 → 0 > -2](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%20%3E%204%5B0%5D%20-%202%20%E2%86%92%200%20%3E%20-2)
☑
<em>Less</em><em> </em><em>than</em><em> </em>
![\displaystyle 0 < 4[0] - 2 → 0 ≮ -2](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%20%3C%204%5B0%5D%20-%202%20%E2%86%92%200%20%E2%89%AE%20-2)
This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:
I am joyous to assist you anytime.
Okay, so let's start with the labeling first:
(-4 = x1, 3 = y1) and (5 = x2, -6 = y2)
So now it's time to use the formula:
x Midpoint = (x1 + x2) / 2
y Midpoint = (y1 + y2) / 2
So then that would be:
x Midpoint = (-4 - 5) = (4 + 5) / 2 = 4.5
y Midpoint = (3 - -6) = (3 + 6) / 2 = 4.5
So therefore our answer for the midpoint would be:
(4.5, 4.5) which is D
Answer:
3 - 3i
Step-by-step explanation:
I think you meant:
6
------------
1 + i
To simplify this, that is, to "rationalize the denominator," multiply both numerator and denominator by the conjugate of 1 + i, which is 1 - I:
6(1 - i)
----------- = 3(1 - i)= 3 - 3i
1 -(-1)
<span>10 +- sqrt( 100 + 60 ) / 6
A is the correct answer</span>
