Juanita constructed a number line to test her brother's understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A. A number line going from negative 20 to positive 20 in increments of 5. The points are: negative 20, blank, A, B, 0, 5, C, blank, D. Which represents the opposite of Point A? Negative (negative 10) Negative (negative 5) 0 Negative (10)

Negative (negative 10)

Step-by-step explanation:

Given that:

- 20, blank, A, B, 0, 5, C, blank, D in Increment of 5

-20, - 15, - 10, - 5, 0, 5, 10, 15, 20

The point A on the number line is - 10 ;

The opposite of point A : will be

- (point A) = - (-10)

The opposite of point A should be (10) which is the equivalent point to the right of the number line and can be represented as - (-10)

w = 5

Step-by-step explanation:

Combining like terms is a very important part to this equation!

5.2w - 1.4 = 3.2w + 8.6

I added 1.4 to the right side first, though you must do it to the left side of the equation as well

5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)

5.2w = 3.2w + 10

Combine the remaining like terms. I subtracted 3.2w from both sides.

5.2w + (-3.2w) = 3.2w + (-3.2) +10

2w = 10

Now divide

2w = 10

w =  

w = 5