For the parallelogram ABCD with vertices A(0, 0), B(a, 0), C(), and D(b,c) to bea rhombus, it is necessary that .

Answer the following statement true (T) or false (F)


True

Mathematics

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Evaluate the determinant.

A. 4 B. -52 C. 104 D. -4

Mathematics

Solve the problem.Your starting salary for a new job is $30,000 per year. You are offered two options for salary increases: Option 1: an annual increase of $1000 per year or Option2: an annual percentage increase of 3% of your salary.If you plan on staying at your job for ten years which option would you choose? How much would your salary be after ten years to the nearest dollar?

A. Option 2: $321,456 B. Option 2: $40,317 C. Option 1: $300,000 D. Option 1: $40,000

Mathematics

Find the area of the polygon.

A. A = 129 cm2 B. A = 126 cm2 C. A = 45 cm2 D. A = 123 cm2

Mathematics

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.

A. y2 B. - y1/2 C. - y2 D. y1/2

Mathematics