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 

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y) = ln 

A. fx(x, y) = - ; fy(x, y) = 
B. fx(x, y) = ; fy(x, y) = 
C. fx(x, y) = -ln  ; fy(x, y) = ln 
D. fx(x, y) = -ln ; fy(x, y) = ln 

Mathematics

Convert as indicated.62 kg to pounds

A. 65.7 lb B. 137.8 lb C. 27.9 lb D. 157.5 lb

Mathematics

Convert the measurement as indicated.7 qt to cups

A. 1 c
B. 28 c
C. 112 c
D. 56 c

Mathematics

Evaluate the expression for the given replacement values.x - yfor x = -12, y = -9

A. -3 B. 21 C. -21 D. 3

Mathematics