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Juliet A.

College Architecture Student

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Geometry

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Question:

If the following two triangles are similar and have the given side lengths, what is the value of Z? The lengths are listed in the same order for both triangles. Triangle one side lengths: 3,4,5 Triangle two side lengths: 9,12, Z

Juliet A.

Answer:

Z=15 because the two triangles are similar and triangle two is larger than triangle one by a factor of 3.

Calculus

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Question:

Find the derivative of the following polynomial: f(x)=(2x+3)/(4x^2)

Juliet A.

Answer:

Using the quotient rule, we find that the derivative of f(x) is d/dx=[((4x^2)(2))-((2x+3)(8x))]/(16x^4)

Algebra

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Question:

Solve the system of equations by substitution: x+3y=3 3x-2y= -2

Juliet A.

Answer:

y=1 x=0

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