Rewrite the equation of each circle in standard form. then graph.

Step-by-step explanation:

The standard form for the equation of a circumference is:

Where:

(a, b) is the center of the circumference

r is the radius

In this problem we have the equation of the following circumference, and we want to convert it to the standard form:

The first thing we must do to transform this equation into the standard form is to use the square completion technique.

The steps are shown below:

1. Group all the same variables:

2. Take the coefficient that accompanies the variable x. In this case the coefficient is -8. Then, divide by 2 and the result elevate it to the square.

We have:

Then do the same for the coefficient that accompanies the variable y

3. Add on both sides of the equality the terms obtained in the previous step:

4. Factor the resulting expression, and you will get:

Write the equation in the standard form:

Then, the center is the point (4, -3) and the radius is r = 3.

Observe the attached image

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: