Me with this. i think i understand it and know what it is but i just want someone to check it for me to see if i'm right.

the width (w) of a rectangular garden is 7 feet longer than the length (l). the area of the garden is 30 square feet.

a. write an expression to represent the width of the garden in terms of length

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de