The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.
Answer:
18.......................
Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

The distance between these 2 points is 13.
Answer:

Step-by-step explanation:
Given the expression: 
To complete the square, we follow these steps:
Step 1: Identify the coefficient of q
Coefficient of q=-23
Step 2: Divide the coefficient of q by 2

Step 3: Square your result from step 2 and add it to the equation
This gives us: 
We have now completed the square.
Step 4: Write the result as a binomial square.
To write it as a binomial square, pick the variable and add the term in the bracket.
Therefore:
