Problem

Identify the type of the conic section represented by the equation \(9x^2 - 16y^2 = 144\).

Answer

Expert–verified
Hide Steps
Answer

The equation is in the form \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\), which is the standard form of a hyperbola.

Steps

Step 1 ：Step 1: Rewrite the equation in the standard form for conic sections.

Step 2 ：\(\frac{x^2}{16} - \frac{y^2}{9} = 1\)

Step 3 ：Step 2: Identify the conic section.

Step 4 ：The equation is in the form \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\), which is the standard form of a hyperbola.

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More