Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
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No, you can't. Although similar in concepts, Pre-Calculus is more advanced than Algebra 2. Algebra 2 is taken between Algebra 1 and Geometry or after Geometry and before Pre-Calculus. The reason that you can't take both at the same time is because of the curriculum. Pre-Calculus does not spend nearly as much time on linear topics (linear equations, linear programming, etc.) as Algebra 2 does. Pre-Calculus also almost always is 2 courses in one: Pre-Calculus and Trigonometry. Algebra 2 has very little, if any, trig. Topics that they have in common are quadratics equations/functions, polynomial equations/functions, rational functions, exponential & logarithmic functions (sometimes these are not covered in Algebra 2), possibly conic sections in Algebra 2, definitely in Pre-Calculus, factoring, and probability/sequences/series/statistics. In addition to trigonometry, pre-calculus also covers polar and parametric topics (these will NEVER NEVER NEVER be seen in Algebra 2) and an introduction to limits. So, you must take Algebra 2 before pre-calculus. If you want to take 2 math courses in 1 year, try algebra 1 and geometry (not very common), algebra 2 and geometry (somewhat common), and some schools allow honors students with a solid A in Algebra 2 (assuming you took Algebra 2 before Geometry, this differs between schools) allow you to take geometry and pre-calculus in the same year. The study of proofs is not a major topic in pre-calculus, and proofs make up a majority of geometry.
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Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
In mathematics, deductive reasoning is used in proofs of geometric theorems. Inductive reasoning is used to simplify expressions and solve equations.
look in google if not there, look in wikipedia. fundamental theorem of algebra and their proofs
No.
Geometry is more of a visual subject. Geometry involves anything that has to do with shapes. It is the study of angles, shapes, length of their sides, proofs, triangles and formulas. Algebra involves a lot more arithmetic. basically have to solve for the variables, a letter that stands for an unknown number. There will be variables in inequalities, polynomials, square roots, radicals.
Indirect proofs are a very useful tool, not just in geometry, but in many other areas - making it possible to prove things that would be hard or impossible to prove otherwise. An example outside of geometry is the fairly simple proof, often found in high school algebra textbooks, that the square root of 2 is not a rational number.
i need to know the answer
it is not important
Euclid
Obviously?...
No, you can't. Although similar in concepts, Pre-Calculus is more advanced than Algebra 2. Algebra 2 is taken between Algebra 1 and Geometry or after Geometry and before Pre-Calculus. The reason that you can't take both at the same time is because of the curriculum. Pre-Calculus does not spend nearly as much time on linear topics (linear equations, linear programming, etc.) as Algebra 2 does. Pre-Calculus also almost always is 2 courses in one: Pre-Calculus and Trigonometry. Algebra 2 has very little, if any, trig. Topics that they have in common are quadratics equations/functions, polynomial equations/functions, rational functions, exponential & logarithmic functions (sometimes these are not covered in Algebra 2), possibly conic sections in Algebra 2, definitely in Pre-Calculus, factoring, and probability/sequences/series/statistics. In addition to trigonometry, pre-calculus also covers polar and parametric topics (these will NEVER NEVER NEVER be seen in Algebra 2) and an introduction to limits. So, you must take Algebra 2 before pre-calculus. If you want to take 2 math courses in 1 year, try algebra 1 and geometry (not very common), algebra 2 and geometry (somewhat common), and some schools allow honors students with a solid A in Algebra 2 (assuming you took Algebra 2 before Geometry, this differs between schools) allow you to take geometry and pre-calculus in the same year. The study of proofs is not a major topic in pre-calculus, and proofs make up a majority of geometry.
You start out with things that you know and use them to make logical arguments about what you want to prove. The things you know may be axioms, or may be things you already proved and can use. The practice of doing Geometry proofs inspires logical thinking, organization, and reasoning based on facts. Each statement must be supported with a valid reason, which could be a given fact, definitions, postulates, or theorems.