Area of the shaded region=area of the greater rectangle- area of the inner rectangle.
Area of a rectangle=length x width.
Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)
Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x
Answer: the area of the shaded region would be: 38x²-12x
Answer:
The fraction is 41/99.
Step-by-step explanation:
The steps are :
The midpoint is (-6.5,-0.5)
try using Desmos.com, when dealing with coordinates and functions. It really works!
If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.
Hope this helps you !!
Answer:
Step-by-step explanation:
<u>Electric Field</u>
The electric field produced by a point charge Q at a distance d is given by
Where
The net electric field is the vector addition of the individual electric fields produced by each charge. The direction is given by the rule: If the charge is positive, the electric field points outward, if negative, it points inward.
Let's calculate the electric fields of each charge at the given point. The first charge 
is at the origin. We'll calculate its electric field at the point x=-3.85 cm. The distance between the charge and the point is d=3.85 cm = 0.0385 m, and the electric field points to the left:
Similarly, for 
, the distance to the point is 12 cm + 3.85 cm = 15.85 cm = 0.1585 m. The electric field points to the right:
Since E1 and E2 are opposite, the net field is the subtraction of both
