Purchase Solution

Problems in Analytic Geometry

Not what you're looking for?

Ask Custom Question

Please help on how to approach the following problems:

1. For the given equation, list the intercepts and test for symmetry
x^2+4y^2=4

What are the intercepts?

2. For the given equation, list the intercepts and test for symmetry.
y=negative7x/x^2+25

What are the intercepts?

3. If (a, negative 6) is a point on the graph of y=x^2-5x what is a?

4. Find an equation for the line with the given properties. Express teh equation in slope intercept form.
Containng the points P=(- 4,-4) and Q = (-2, -1)
What is the equation of the line?

5. Find the equation of a line that is perpendicular to the line y=1/2x+3 and contains the point (-8,0)
y=?

Purchase this Solution
Solution Summary

The solution solves several problems in analytic geometry.

Solution Preview

1. x^2 + 4y^2 = 4 is the equation of an ellipse. The standard form of this equation is (x/2)^2 + y^2 = 1. Thus we see that this is an ellipse centered at the origin with semimajor axis of length 2 and semiminor axis of length 1 oriented along the x and y axes respectively. The intercepts of this ellipse ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Problems in Analytic Geometry

    We solve various problems in analytic geometry.

  • Synthetic, Analytic and Vector Techniques in Euclidean Geometry

    115455 Synthetic, Analytic, and Vector Techniques in EUCLIDEAN GEOMETRY Describe the advantages and disadvantages of the synthetic, analytic, and vector techniques for proving a given theorem in Euclidean Geometry.

  • Vector multiplication

    74284 Vectors and analytic geometry Please find the 1) length and 2) direction (when defined) of 1) A X B and 2) B X A Please show all work, including the grids for the determinants. Thank you.

  • Distance Formula in 2- and 3-Dimensional Space

    Include technology functions using a graphing calculator and computer software applications Analytic Geometry: Distance Formula Explain how to derive the formula for the distance between two points in analytic geometry in 3-space.

  • Dynamic geometry

    Geologist used static geometry to decipher the history of objects and its age and origin. Dynamic geometry problems are the opposite of static geometry problems. Dynamic geometry problems constitutes action, motion, and energy.

  • Various Geometry Problems

    The solution solves various geometry problems.

  • Synthetic and analytical proof: parrallelogram

    Prove the theorem given above in Euclidean geometry using analytic techniques. 1. Include each step of your proof. 2. Provide written justification for each step of your proof.

  • What is linear algebra? What is matrix algebra?

    Linear algebra also has a concrete representation in analytic geometry and it is generalized in operator theory.

  • Math Standards, a comparison of 3 states

    Numerical and Algebraic Operations and Analytical Thinking Standard V.1 Operations and Their Properties Standard V.2 Algebraic and Analytic Thinking Strand VI.

View More Related Solutions