matt thinks that all the values of x and y that absolute value | | would make this statment true
|x+y|= |x|+|y|
if x is -5 and y is -6 then replacing x and y for the values would look like this:
|x+y|=|-5+-6|= |-11|=11
|x|+|y|= |-5|+|-6|=5+6=11
Is matt a true smarty pants? could matt be proven wrong? show work to try and prove him wrong. also explain in words how you got the answer
how about x = +5 and y = -6
no it doesnt say that its just states is he right or not
How do I figar out the third of a amount of money
Try the numbers I suggested to see if he is right or wrong.
To determine if Matt's claim is true or false, we can substitute various values of x and y into the given equation and compare the two sides to see if they are equal.
Let's test a different pair of values to try and prove Matt wrong. For example, let's consider x = -3 and y = 2.
Substituting these values into the equation:
|x+y| = |-3 + 2| = |-1| = 1
|x| + |y| = |-3| + |2| = 3 + 2 = 5
Now, we can clearly see that |x+y| is not equal to |x| + |y|. In this case, 1 is not equal to 5. Therefore, Matt's claim is proven wrong, and he is not correct in stating that all values of x and y would make the equation |x+y| = |x| + |y| true.
In simpler terms, the equation |x+y| = |x| + |y| states that the absolute value of the sum of x and y is equal to the sum of the absolute values of x and y. By substituting different values, we can test if this equation holds true. In the case of x = -3 and y = 2, the equation is not true, as 1 does not equal 5. Thus, Matt's claim is incorrect.