Provide an appropriate response.Mark's teacher asked him to solve the following problem: "One leg of a right triangle is 7 m longer than the other. The length of the hypotenuse is 13 m. Find the lengths of the legs." Mark translated the problem into the following equation: 
. Why is this equation not correct and what would the correct equation be?
What will be an ideal response?
If the length of the shorter leg is x then the length of the other leg is 
. Substituting into the Pythagorean theorem 
gives 
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Solve the problem.If two tangent lines to the ellipse 4x2 + 36y2 = 144 intersect the y-axis at 
find the points of tangency.
A. 
, 
B. 
, 
C. 
, 
D. (-6, 0), (6, 0)
Use the rules for exponents to rewrite the expression and then evaluate the new expression. 
A. -14 B. -5 C. 0 D. 1
Provide an appropriate response.Show that the arc length of one petal of the rose 
is given by 2
and use this formula to help make a conjecture about the limit of such arc lengths as 
What will be an ideal response?
Add.6x8 - 8x7 - 6x6 - 2
A. 15x8 - 10x7 - 15x6 + 6 B. -10x42 + 6 C. -4x8 - 4x7 + 14x6 + 1 D. 15x16 - 10x14 - 15x12 + 6