Here's number 5. If you need more explanation just let me know.
y-int: 140
slope: -4
to find the slope u gotta use the (y2-y1)/(x2-x1) formula
120-140 = -20
5-0 = 5
-20/5 = -4
The answer is z = 3 + i
z = a + bi
conj(z) = a - bi
conj(7 + 3i) = 7 - 3i
<span>(conj)z + 2z = 2 + 4i + conj(7 + 3i)
</span>a - bi + 2(a + bi) =<span> 2 + 4i + 7 - 3i
</span>a - bi + 2a + 2bi =<span> 2 + 4i + 7 - 3i
</span>3a + bi = 9 + i
From here:
3a = 9 and bi = i
a = 9/3 b = i/i
a = 3 b = 1
z = a + bi
z = 3 + 1 * i
z = 3 + i
Answer: x ≥ 4
<u>Step-by-step explanation:</u>
x + 10 ≥ 14
Subtract 10 from both sides of the equation:
x ≥ 4
Graphing:
> and < symbols represent an open dot
≥ and ≤ symbols represent a closed dot
Since the solution is: x ≥ 4, we will use a closed dot and the arrow will point to the right of 4.
4 ·------------→