Answer:
8 + 4i
Step-by-step explanation:
Put corresponding terms above each other and subtract in the usual way.
z = 3 + 5i
<u> w = -5 + i
</u>
z - w = 8 + 4i: 3 - (-5} = 8; 5i - 1i = 4
i
Answer:
57
Step-by-step explanation:
5 |-2^3 - 2| + 7
-2^3 = -8
-8 - 2 = -10
absolute value of -10 = 10
5 * 10 = 50
50 + 7 = 57
Answer:
3
Step-by-step explanation:
(x₁ , y₁) = (-1 , -2) & (x₂ , y₂) = (3 , 10)

![= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B10-%5B-2%5D%7D%7B3-%5B-1%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B10%2B2%7D%7B3%2B1%7D%5C%5C%5C%5C%3D%5Cfrac%7B12%7D%7B4%7D%5C%5C%5C%5C%3D4)
m = 4
y - y₁ = m (x - x₁)
y - [-2] = 4(x - [-1])
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 4 - 2
y = 4x + 2
Answer:
x = 50
m∠D = 150°
m∠F = 30°
Step-by-step explanation:
- supplementary angles are two angles whose sum is 180°
∠D + ∠F = 180°
3x + x - 20 = 180
3x + x = 180 + 20
4x = 200
x = 200/4
x = 50
D = 3*50 = 150
∠D = 150°
F = 50 - 20 = 30
∠F = 30°