Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. xy = 4

Hyperbola

Step-by-step explanation:

The general second degree equation can be written as:

To identify the graph by inspection of equation, then complete any squares if necessary so that the variables are on one side and the constant is on the either right hand side of the equation.

1. Line : Squared term of neither variable is present.

2.Circle :Squared terms of both variables are present, both are positive and both have the same coefficient. The right hand side is positive.

3.Ellipse :Squared terms of both variables are present, both are positive and both have different coefficients. The right hand side is always positive.

4.Parabola :Both variables are present but only one is squared.

5.Hyperbola :Squared terms of both variables are present, but one is positive and the other one is negative. The right hand side is not zero.

For 3, 4 and 5, The general equation reduces to

which is a hyperbola if and an ellipse if and a parabola if .

For the given equation xy=4, we observe that , hence the given equation is an hyperbola.

answer: yes, he is correct

step-by-step explanation: 10x-1=59

                                              1-1=0     59+1=60

60/10=x=6

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.