Answer the question.Explain why the least common denominator of two (different) prime numbers is the product of the two numbers.

What will be an ideal response?


The numbers have no common factors, so the least common denominator must contain all the factors of both numbers and, hence, is their product.

Mathematics

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Write the sum without sigma notation and evaluate it.

A. -sin  + sin  - sin  = -1
B. -sin   - sin  = 2
C. -sin  + sin  - sin  = 0
D. -sin  + sin  - sin  = 1

Mathematics

Solve the problem.The perimeter of a triangle is 62 cm. The triangle is isosceles now, but if its base were lengthened by 2 cm and each leg were shortened by 2 cm, it would be equilateral. Find the base of the original triangle.

A. 18 cm B. 22 cm C. 17 cm D. 20 cm

Mathematics

Identify the type of curve that each equation represents by evaluating B2 - 4AC. x2 - 2xy + y2 - 6x + y + 20 = 0

A. Ellipse B. Parabola C. Hyperbola

Mathematics

Find the indicated measure of central tendency.The weights (in ounces) of 21 cookies are shown. Find the median weight.0.83?1.04?0.61?1.620.64?0.60?1.071.04?1.530.90?0.83?1.15?1.23?0.800.471.15?0.60?1.23?1.720.64?0.56

A. 0.85 ounces B. 0.80 ounces C. 1.04 ounces D. 0.90 ounces

Mathematics