Ok so I'm reviewing algebra since it was the only math class I didn't do well in and thought I would work out all the problems in the Schaum's Outline. I have ran across 3 problems I'm not sure how to do.
a)Two numbers have the ratio 3:4. If 4 is added to each of the numbers the resluting ratio is 4:5. Find the two numbers.
b) Determine whether the graph of each relation is symmetric with respect to the y axis, x axis, or origin.
I want to work this one out rather than look at the graph.
So it is symmetric with respect to the origin but is there a faster way of showing that. I tried going this route but got stuck
and then got stuck.
c)Find the largest rectangle which can be inscribed in a right triangle whose legs are 6 and 8 inches repectively.
Thanks in advance
This is where you went wrong. For a lack of a better explanation, you "counted" the negatives twice. Look at the binomial cubic expansion in the general case:
If you're saying that a = -x and b = -3, then you follow the first rule:
But, if you're saying that a = -x and b = 3, then you follow the second rule:
You were combining both rules.
In either case,
the two polynomials are not equal, so this relation is not symmetric at the origin.
In fact, this relation is not symmetric to the x-axis, y-axis, or the origin. You'll now have to show algebraically that the first two are not the case.