If either a or b or both are 0, we have |ab|= 0 and |a|*|b|=0
For any real number a and b non equal to 0, one of the 3 following cases are true:
i) both a and b are positive:
then |ab|=ab, |a|=a, |b|=b
ab=a*b
|ab|=|a|*|b|
ii) both a and b are negative:
then |a|=-a, |b|=-b
|ab|=ab, for example if a=-3, b=-7: |(-3)(-7)|=|21|=21=(-3)(-7)=a*b
so
ab=(-a)*(-b)
|ab|=|a|*|b|
iii) one of them is positive and the other negative.
In our case let a be positive, b negative:
|a|=a, |b|=-b,
and |ab|=-ab, for example if a=3, b=-4; |3*(-4)|=|-12|=12=3*(4)=a*(-b)
thus:
-ab= a*(-b)
|ab|= |a||b|.
In each possible case of the signs of a and b we get: |ab|= |a||b|.
X=5
Because 8/16=x/10 8 is half of 16 so it is equal to the same amount as 5/10
You can simplify them both down to one fraction 1/2
Hope that I could help you
Answer:
Solving for variable x
Move all terms containing x to the left, all other terms to the right
<u>Add -2x to each side of the equation</u>
<u></u><u></u>
<u></u>
<u>Combine like terms: 3x + -2x = 1x
</u>
<u></u><u></u>
<u></u>
<u>Combine like terms: 2x + -2x = 0
</u>
<u></u><u></u>
<u></u>
<u>Add 61 to each side of the equation.
</u>
<u></u><u></u>
<u></u>
<u>Combine like terms: -61 + 61 = 0
</u>
<u></u><u></u>
<u></u>
<u>Combine like terms: -50 + 61 = 11
</u>
<u></u><u></u>
<u></u>
<u>Divide each side by 1
</u>
<u></u><u></u>
Adding the coordinates of two points together and dividing them by two gives you back the midpoint of the segment.
i.e. the x coordinate for the midpoint is (-2+(-10))/2=-6
the y coordinate for the midpoint is (7+(-1))/2=3
Hence, the midpoint is (-6,3)