Which of the following functions is graphed below?

(4 – 2i)(6 + 2i)

Use FOIL

First: 4 multiplied by 6 equals 24

Outer: 4 times 2i gives 8i

Inner: -2i times 6 results in -12i

Last: -2i times 2i equals -4i², which simplifies to 4

Combine the results

24 + 8i - 12i + 4

Final result: 28 - 4i

The answer is: 28 - 4i

Define the unit vectors along the x and y axes as correspondingly.

Consequently, the vector from P to Q is

In terms of components, vector PQ is represented as (-8,5).

The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434

Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

Recall that

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

Substituting values,

From this, we find

By substitution,

For every cup of sugar, you will need five cups of water. To find out how much sugar is used per cup, you take 1 and divide it by 5, resulting in 1/5 cups of sugar.

The correct response is 176