Solve the following problem when -2 is outside an absolute value equation: -2|-2r-4|=-12

-2|-2r-4|=-12

divide by -2

|-2r-4| = 6

we get a positive and negative solution

-2r-4 = 6     and -2r - 4 = -6

-add 4 to each side

-2r = 10         -2r = -2

divide by -2

r = -5    and r = 1

Answer r = -5 ,1

r = 1 and r = -5

Step-by-step explanation:

We are given the following problem with an absolute value equation:

The only variable here is so we will make it the subject and solve for it.

Isolating the absolute value by dividing the constant -12 by -2 to get:

Setting the quantity inside the absolute value notation equal to a positive and a negative value on the other side of the equation:

and

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and

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)

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step-by-step explanation: