What is the area of the shaded region?

the area of a shaded region is the area of the non shaded region!

Step-by-step explanation:

So the area of the shaded region is 10x^2+6x-12

Step-by-step explanation:

So let's break this up, you need to multiply x+4 and x+2 together and x+1 and x+1 together:

x+4 X x+2= x^2+6x+8

x+1 X x+1= x^2+2x+1

After you have done that add the two products together:

x^2+6x+8+x^2+2x+1= 2x^2+8x+9

Then multiply 2x+3 and 6x-1 together:

2x+3 X 6x-1= 12x^2+16x-3

After that you need to subtract 12x^2+16x-3 and 2x^2+8x+9:

12x^2+16x-3 - (2x^2+8x+9)= 10x^2+6x-12

10x^2+6x-12

Hope this helps!

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

step-by-step explanation: