Answer:
Z = 258Ω
Step-by-step explanation:
There are two methods of solving this question,
First method
Z = ( RXL)/ sqr rt ( R²+XL²)
Z= (330 Ω × 420 Ω)/ sqr rt ( 330 Ω² + 420 Ω²)
Z = 138600 Ω /534
Z = 259 Ω
THE second complete method is given in attachment below
Plug this into the formula y2 - y1 / x2 - x1
-2 = x1, x2 = 2, y1 = -1, y2 = -3
-3 - (-1) / 2 - (-2)
-2 / 4
-1/2
The slope is -1/2.
The formula of a distance between two points:

We have two points A(-5, 2) and B(-5, 8). Substitute:

d is a diameter of a circle because d = 2r = 2(3).
The center of a circle is in midpoint of AB.
The formula of a midpoint:

Substitute:

Answer: (-5, 5).
Answer:

Step-by-step explanation:
Given

Required
Identify and correct error
The error is when the inner and outer terms are multiplied. i.e.
not 32x
not 15x
So, the expression is:

