Simplify (2+2i) divided by (1-i)

Mathematics

1 answer:

Verdich [7]3 years ago

3 0

Answer: 2i

Step-by-step explanation:

$\frac{2+2i}{1-i}$

$=\frac{\left(2\cdot \:1+2\left(-1\right)\right)+\left(2\cdot \:1-2\left(-1\right)\right)i}{1^2+\left(-1\right)^2}$

$=\frac{4i}{2}$

$=2i$

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IgorLugansk [536]

Answer:

$9$

Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; ( $a^2 + b^2 = c^2$ ), where ( $a$ ) and ( $b$ ) are the legs of the right triangle, or the sides adjacent to the right angle. ( $c$ ) is the hypotenuse or the side opposite the right angle.