The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
Multiply the factors together. You should get the original expression.
For example, if we are to factor
2x^2 + 4x
we would factor as
2x(x + 2).
Check this by multiplying back in
2x*x + 2x*2 = 2x^2 + 4x
which is what we started with, so we know we are correct.
A and B lie on the line, yes, but what specifically are you supposed to do? Looks like your problem statement was cut off before you'd finished typing it in.
You say your line passes thru (-2,5) and has a slope of 2/3? Then, using the point-slope formula,
y-5 = (2/3)(x+2) This is the general equation for your line.
Now let's play around with B(-2,y). Suppose we subst. the x-coordinate of B, which is -2, into the equation y-5 = (2/3)(x+2); we get y-5 = (2/3)(-2+2) = 0. This tells us that y must be 5. But we already knew that!!
So, please review the original problems with its instructions and this discussion and tell me what you need to know from this point on.
