Suppose we wish to construct a line segment containing point A and perpendicular to segment BC. To do so with the fewest compass measurements, we should first
A length is constructible if it can be obtained from a nite number of applications of a compass and straightedge. A constructible number is a constructible length or the negative of a constructible length. The demonstrations in this section, elsewhere in the text, and in class emphasize three part of the problem solving process for constructions:
1. Investigation or analysis. The usual approach is to imagine the problem is solved and search for relationships or properties that will allow us to accomplish the construction.
2. Construction. We propose the steps in the construction and perform the construction.
3. Proof: We justify that the constructions steps are valid and that the construction accomplishes what it was supposed to do.
He polynomial of degree 5, p ( x ) p(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 x=4 and x = 0 x=0, and a root of multiplicity 1 at x = − 4 x=-4 find a possible formula for p ( x ) p(x).
which term best describes the type of reaction that happens when a single element reacts with a molecule or compound producing a new single element and a new molecule or compound? A) an isolation reaction B) a single combustion reaction C) a single replacement reaction D) a double replacement reaction
Which option accurately describes greek and roman ideas that were revived during the renaissance by humanist philosophers? the art of public speaking and debate, known as rhetoric, was revived during the renaissance. the use of ziggurats as architectural symbols of faith was revived during the renaissance. the worship of greek and roman gods as deities was revived during the renaissance. gladiator battles that demonstrated strength and dominance were revived during the renaissance?