Use compass and straightedge construction to estimate the coordinates of the center of the inscribed circle in the triangle with vertices (7, 1), (5, 1) and (7, 6) and determine the equation of the circle. Sketch the triangle and the circle.

Sam is sketching a template on graph paper to use as a guide for his painted cork dart board.

The diameter of Circle 1 is 2 feet and the distance between the edges of each of the next three

pairs of circles is 1 foot.The distance between Circle 4 and Circle 5 is 1/2 foot. Sam does not want

axes through or touching his template and therefore wishes to sketch the dart board only in

Quadrant I. At the closest points, he wants Circle 5 to be 1 unit from the y-axis and 1-unit from

the x-axis. In this case:


Mathematics

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Answer the question.If 1 is substituted for x in the rational expression , the result is . Mathematicians have been known to say "Any number divided by itself is 1." Does this mean that this expression is equal to 1 for x = 1? Explain why or why not.

What will be an ideal response?

Mathematics

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A. function domain: all real numbers range: all real numbers intercepts: (-2, 0), (0, 2), (2, 0) symmetry: none B. function domain: {x|x ? 0} range: {y|y ? -2} intercepts: (-2, 0), (0, 2), (2, 0) symmetry: y-axis C. function domain: {x|x ? -2} range: {y|y ? 0} intercepts: (-2, 0), (0, 2), (2, 0) symmetry: none D. not a function

Mathematics

Multiply. ? 

A.
B.
C.
D.

Mathematics

Write the augmented matrix for the system. Do not solve the system. 6x + 5z - 1 = 0  4y + 8z - 16 = 0-2x + 9y + 7z - 45 = 0

A.

B.

C.

D.

Mathematics