1st semester exam review B 24-25

Front

What is the center of the ellipse given by the equation 25x² + 9y² + 50x - 36y - 164 = 0?

Back

The center of the ellipse is (-1, 2).

Front

What are the foci of the ellipse given by the equation 25x² + 9y² + 50x - 36y - 164 = 0?

Back

The foci of the ellipse are (-1, -2) and (-1, 6).

Front

What is the measure of angle A if the options are 18, 28, 25, 24?

Back

The measure of angle A is 24 degrees.

Front

What is the completely factored form of the polynomial 25x² - 81?

Back

The completely factored form is (5x - 9)(5x + 9).

Front

If a = 4, b = 5, and c = 8, what is the value of B?

Back

The value of B is 30.8 degrees.

Front

What is the standard form of the equation of the circle given by x² + y² + 6x - 12y + 20 = 0?

Back

The standard form is (x + 3)² + (y - 6)² = 25.

Front

Define the term 'ellipse'.

Back

An ellipse is a set of points in a plane such that the sum of the distances from two fixed points (foci) is constant.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by A = πr², where r is the radius.

Front

What is the quadratic formula used to solve quadratic equations?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.