Which represents the solution to the above absolute value equation? 2|x+2|-1=5

C. x=1 or x=-5

Step-by-step explanation:

1. First, we have to get the absolute value alone.

2|x+2|-1=5

2. Add 1 to both sides.

2|x+2|-1 +1 = 5 +1. The -1 and +1 will cancel each other out.

You will get 2|x+2|=6.

3. Divide 2 by both sides.

=

The division of 2 and the multiplication of 2 on the side of the absolute value will also cancel each other out.

You will get |x+2|=3.

4. Next, we will split this absolute value equation into two equations because we don't know if the variable of x that's inside of the absolute value is negative or not.

x+2=3 or x+2=-3.

5. Subtract 2 from all sides.

x+2 -2 =3 or x+2 -2 =-3

You will get x=1 or x=-5.

x=1 or x=-5 is your final answer.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.