Test 6

Front

Back

Center: (0,0), a=5, b=2

Front

Write the standard form equation of an ellipse with center (1,10), vertex (-14,10), and focus (1+4\sqrt{11},10).

Back

Front

Solve the equation: 7^{-x} = 49

Back

x = -2

Front

What is the standard form of the equation of a hyperbola?

Back

Front

Back

Front

What is the definition of an ellipse?

Back

An ellipse is a set of points where the sum of the distances from two fixed points (foci) is constant.

Front

What is the relationship between the lengths a, b, and c in an ellipse?

Back

In an ellipse, c^2 = a^2 - b^2, where a is the semi-major axis and b is the semi-minor axis.

Front

What is the formula for the area of an ellipse?

Back

Front

What is the definition of a hyperbola?

Back

A hyperbola is a set of points where the difference of the distances from two fixed points (foci) is constant.

Front

What is the standard form of a hyperbola?

Back