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Analytic Geometry. Exam Preparation Made Simple: Comprehensive Study Guides
Analytic geometry 
A branch of mathematics which uses algebraic equations 
Rene Descartes and Pirre de Fermat 
French mathematicians independently developed the foundations for analytic geometry 
Cartesian geometry 
Analytic geometry is also known as... 
Cartesian plane 
The basis of analytic geometry 
Conic sections 
The curves formed by the intersection of a plane and a double right circular cone 
Circle 
When the plane is horizontal
- Exam (elaborations)
- • 1 pages •
Analytic geometry 
A branch of mathematics which uses algebraic equations 
Rene Descartes and Pirre de Fermat 
French mathematicians independently developed the foundations for analytic geometry 
Cartesian geometry 
Analytic geometry is also known as... 
Cartesian plane 
The basis of analytic geometry 
Conic sections 
The curves formed by the intersection of a plane and a double right circular cone 
Circle 
When the plane is horizontal
Analytic Geometry Achieve Your Goals: Verified Instructor Notes Included
Right angles 
Angles of the measurement of 90° all right angles are congruent 
Straight angle 
To race to go in opposite directions that foreman angle measurement of 180° all straight 
angles are congruent 
Interior angle 
In Angle in the interior (inside) of a figure 
Exterior angle 
In angle on the exterior outside of a figure that is adjacent to an interior angle 
Corresponding angle 
Angles/sides that have the same relative position 
Complementary angle 
Some of the angle measurements add ...
- Exam (elaborations)
- • 2 pages •
Right angles 
Angles of the measurement of 90° all right angles are congruent 
Straight angle 
To race to go in opposite directions that foreman angle measurement of 180° all straight 
angles are congruent 
Interior angle 
In Angle in the interior (inside) of a figure 
Exterior angle 
In angle on the exterior outside of a figure that is adjacent to an interior angle 
Corresponding angle 
Angles/sides that have the same relative position 
Complementary angle 
Some of the angle measurements add ...
Analytic Geometry. Exam Victory: Study Guides and Instructor Notes Provided
given point on a parabola is equal to the distance from that point to the focus. 
Latus Rectum 
The line segment is perpendicular to the axis of symmetry (and therefore parallel to the 
directory) which runs through the focus. Bounded by points (a,2a), (a, -2a), with a length 
of 4a. 
First General Equation of a Parabola 
y² = 4ax 
Where the vertex is at (0,0). 
Focus is located at (a,0). DirectX is represented by x = -a. The Axis of symmetry is the 
x-axis. Opens to the right. 
Second General ...
- Exam (elaborations)
- • 3 pages •
given point on a parabola is equal to the distance from that point to the focus. 
Latus Rectum 
The line segment is perpendicular to the axis of symmetry (and therefore parallel to the 
directory) which runs through the focus. Bounded by points (a,2a), (a, -2a), with a length 
of 4a. 
First General Equation of a Parabola 
y² = 4ax 
Where the vertex is at (0,0). 
Focus is located at (a,0). DirectX is represented by x = -a. The Axis of symmetry is the 
x-axis. Opens to the right. 
Second General ...
Chapter 1- 7 Verified Study Resources for All Testing Exams
systematically and purposefully do the best they can to achieve their objectives, 
economic rationality 
Economic rationality 
people compare the costs and benefits to maximize personal advantage... people do 
what's best for them 
Think at the margin 
people make decisions by evaluating costs and benefits of marginal changesincremental adjustments to an existing plan. Most choices involve how much of 
something to do rather than whether to do it at all.. Whether or not to use an additional 
un...
- Exam (elaborations)
- • 2 pages •
systematically and purposefully do the best they can to achieve their objectives, 
economic rationality 
Economic rationality 
people compare the costs and benefits to maximize personal advantage... people do 
what's best for them 
Think at the margin 
people make decisions by evaluating costs and benefits of marginal changesincremental adjustments to an existing plan. Most choices involve how much of 
something to do rather than whether to do it at all.. Whether or not to use an additional 
un...
Econ 110: Part 1 Your Key to Success: Comprehensive Guides for Testing Exams
8. social/cultural 
9. competitors (what they are doing and planning to do) 
10. substitute products 
11. corporate social responsibility 
Demand Shifters 
1. Understand how the world works 
2. Economics is at the root of business decisions, government policy market and global 
economic relations. 
3. Its a language we can all understand 
4. understanding how markets work and the relationship between economic variable is 
necessary to understanding the economy, the economy is greater predictor o...
- Exam (elaborations)
- • 10 pages •
8. social/cultural 
9. competitors (what they are doing and planning to do) 
10. substitute products 
11. corporate social responsibility 
Demand Shifters 
1. Understand how the world works 
2. Economics is at the root of business decisions, government policy market and global 
economic relations. 
3. Its a language we can all understand 
4. understanding how markets work and the relationship between economic variable is 
necessary to understanding the economy, the economy is greater predictor o...
Econ. Chapter 1. Verified Instructor Notes for Exam Confidence
resources required to produce the things we would like to have are land, capital, labor, 
and entrepreneurs. 
Land 
"gifts of nature", or natural resources not created by people. Land includes deserts, 
fertile fields, forests, mineral deposits, livestock, sunshine, and climate. 
Land is the first factor of production. 
Capital / Capital goods 
the tools, equipment, machinery, and factories used in the production of goods and 
services. It is a result of production. 
Capital is the second fact...
- Exam (elaborations)
- • 5 pages •
resources required to produce the things we would like to have are land, capital, labor, 
and entrepreneurs. 
Land 
"gifts of nature", or natural resources not created by people. Land includes deserts, 
fertile fields, forests, mineral deposits, livestock, sunshine, and climate. 
Land is the first factor of production. 
Capital / Capital goods 
the tools, equipment, machinery, and factories used in the production of goods and 
services. It is a result of production. 
Capital is the second fact...
Formulas (Analytic Exam Success Roadmap: Comprehensive Study Guides
division of line segment 
x = (x1r2+x2r1)/r1+r2 
y = (y1r2+y2r1)/r1+r2 
Location of midpoint 
x = (x1 + x2)/2 
y = (y1 + y2)/2 
point slope form 
y-y1=m(x-x1) 
two-point form 
y-y₁=(y₂-y₁)/(x₂-x₁)×(x-x₁) 
slope-intercept form 
y=mx+b 
intercept form 
x/a + y/b = 1 
slope of the line 
m = -A/B 
Angle between two lines 
tanΘ = (m1-m2)/(1+m1*m2), m's are slopes of two lines 
Distance of a point from a line Ax+By+C=0 
d = (Ax1+By1+C)/+-(sqrt(A^2+B^2))
- Exam (elaborations)
- • 1 pages •
division of line segment 
x = (x1r2+x2r1)/r1+r2 
y = (y1r2+y2r1)/r1+r2 
Location of midpoint 
x = (x1 + x2)/2 
y = (y1 + y2)/2 
point slope form 
y-y1=m(x-x1) 
two-point form 
y-y₁=(y₂-y₁)/(x₂-x₁)×(x-x₁) 
slope-intercept form 
y=mx+b 
intercept form 
x/a + y/b = 1 
slope of the line 
m = -A/B 
Angle between two lines 
tanΘ = (m1-m2)/(1+m1*m2), m's are slopes of two lines 
Distance of a point from a line Ax+By+C=0 
d = (Ax1+By1+C)/+-(sqrt(A^2+B^2))
Four key elements of the study of Study Smarter, Not Harder: Verified Instructor Notes Included
Description of economic activity 
Gross, domestic product, unemployment rate, government 
Analysis 
Looks at the "why" and "how" of economic activity prices go and down, for example, pr 
taxes affect savings
- Exam (elaborations)
- • 1 pages •
Description of economic activity 
Gross, domestic product, unemployment rate, government 
Analysis 
Looks at the "why" and "how" of economic activity prices go and down, for example, pr 
taxes affect savings
Part 1: Twelve Key Elements of Exam Excellence: Study Guides and Instructor Notes Included
both the buyer and seller 
Economic progress 
reflects that people are achieving higher income levels and living standards 
Voluntary trade promotes economic progress because it 
makes larger outputs possible as a result of specialization. 
Higher transaction costs will tend to 
reduce the number of mutually beneficial exchanges 
Middlemen 
Increase transaction goods 
If the Internet helps buyers learn about the availability of products and find potential 
sellers more quickly, 
the gains from t...
- Exam (elaborations)
- • 2 pages •
both the buyer and seller 
Economic progress 
reflects that people are achieving higher income levels and living standards 
Voluntary trade promotes economic progress because it 
makes larger outputs possible as a result of specialization. 
Higher transaction costs will tend to 
reduce the number of mutually beneficial exchanges 
Middlemen 
Increase transaction goods 
If the Internet helps buyers learn about the availability of products and find potential 
sellers more quickly, 
the gains from t...
principles of economics exam 2 Guaranteed Pass: Verified Study Materials for All Testing Exams
-Financial transactions such as trading of stocks and bonds 
-Government transfer payments 
-leisure time 
government transfer payments 
a payment to a person that is not for goods and services currently supplied such as 
social secrutiy 
GDP and Bads 
GDP counts the goods and services, but it does not net out the air and water pollution 
Why aren't stock purchases and sales counted in GDP? 
GDP is a measure of production in a country. When stocks are purchased and sold, no 
production occurs 
...
- Exam (elaborations)
- • 8 pages •
-Financial transactions such as trading of stocks and bonds 
-Government transfer payments 
-leisure time 
government transfer payments 
a payment to a person that is not for goods and services currently supplied such as 
social secrutiy 
GDP and Bads 
GDP counts the goods and services, but it does not net out the air and water pollution 
Why aren't stock purchases and sales counted in GDP? 
GDP is a measure of production in a country. When stocks are purchased and sold, no 
production occurs 
...
Pre-MPJE Exceptional Academic Excellence.
Good work
APEX EKG Test Perfect Your Scoring.