## Problem 1143

Find the eccentricity of the ellipse      Solution:-   eccentricity of the ellipse = c/a c = √(a^2 – b^2) c = √(25-5) c= √(20) c = 2√(5) eccentricity = (2√5)/5  …

## Problem 1124

Write the general form equation of (x + 3)2 + (y + 6)2 = 3.   Solution:-   FOIL the binomials and write in general Form; x2 + y2 +…

## Problem 1123

Write the standard form equation of a circle with a center at (-3, 4) and a radius of 4.   Solution:-   Substitute the coordinates and write in standard form:…

## Problem 1122

Write the equation x2 + y2 -4x -6y +8 = 0 in the standard form.   Solution:-   Complete the square and write in standard form: (x -h)2 + (y…

## Problem 1121

Write the equation in standard form. x2 + y2 + 4y – 45 = 0   Solution:-   Complete the square and then write the equation in standard form. (x…

## Problem 1120

What is the radius  of the circle (x + 16)2 + (y – 8)2 = 16 ?   Solution:-   The radius of a circle is the r-value from the equation…

## Problem 1119

What is the center of the circle (x + 3)2 + y2 = 4?   Solution:-   The center of a circle is  (h, k ) from the equation (x…

## Problem 1118

Find the center and radius of the circle. Then graph the circle. x2 + y2 + 4y – 45 = 0   Solution:-   To find the center and the…

## Problem 1117

Find the center and radius of the circle. Then graph the circle. x2 + y2 + 3x – 5y – = 0   Solution:-   To find the center and the…

## Problem 1086

Compute the discriminant. Then determine the number and type of solution for the given equation. 3×2 – 4x + 2 = 0   Solution:-   b2– 4ac > 0 Two…