Add or subtract as indicated.Add.

A. -7p - 17
B. 7p - 17
C. 15p - 5
D. -15p - 5


Answer: D

Mathematics

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For the pair of similar triangles, find the length of the indicated side.In the upper triangle, the shortest side has length 16, and the middle side has length 24. In the lower triangle, the shortest side has length 12, the middle side has length 18, and the longest side has length 24. Find the length, x, of the longest side of the upper triangle.

A. x = 30 B. x = 32 C. x = 24 D. x = 40

Mathematics

Solve the problem.A mathematician has found 5 solutions to a homogeneous system of 40 equations in 42 variables. The 5 solutions are linearly independent and all other solutions can be constructed by adding together appropriate multiples of these 5 solutions. Will the system necessarily have a solution for every possible choice of constants on the right side of the equation? Explain.

What will be an ideal response?

Mathematics

Find the product using the formula for multiplying the sum and difference of two terms. Check the answer using the FOIL method.(3m - 13n)(3m + 13n)

A. 3m2 - 13n2 B. 9m2 - 169n2 C. 9m2 + 78mn - 169n2 D. 9m2 - 78mn - 169n2

Mathematics

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb 

A. logbx + 7logby - 6logbz B. logbx + 7logby + 6logbz C. logbx + logby7 + logbz6 D. logbx + logby7 - logbz6

Mathematics