How do you simplify (4+2i)(3-i)

1 answer:

5 0

You simplify it by doing distributive property like this

(4+2i)(3-i) =12-4i+6i-2i2

now add common like numbers

12+2i-2i2

Now on the i that is squared change the i to a -1 and get this

12+2i+2

Now again add common like numbers and get

14+2i that would be your answer
hope this helped

You might be interested in

Find the volume of the triangular prism as pictured below with a = 7 cm, b = 4

nydimaria [60]

Answer:

Step-by-step explanation:

Volume of triangular prism = Base Area × length of prism

Base area = ½*base*height

base = c = 3 cm

height = b = 4 cm

Base area = ½*3*4 = 6 cm²

Length of prism = d = 8 cm

Therefore,

Volume = 6 × 8 = 48 cm³

3 0

3 years ago

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,

ololo11 [35]

Answer:

From the graph attached, we know that $\angle 1 \cong \angle 5$ by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like $\angle 1$ and $\angle 5$ .

We also know that, by definition of linear pair postulate, $\angle 3$ and $\angle 1$ are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that $\angle 3$ and $\angle 1$ together are 180°, because they are on a straight angle. That is, $m \angle 3 + m \angle 1 = 180\°$

If we substitute $\angle 5$ for $\angle 1$ , we have $m \angle 3 + m \angle 5 = 180\°$ , which means that $\angle 3$ and $\angle 5$ are also supplementary by definition.