1) solve the following system of equations algebraically. give your solution as two
ordered pair (x, y)
y=x2 + 7x + 12,
y = 2x + 8

For this case we have the following system of equations:

Equating both equations we have:

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

Then, the factorized equation is of the form:

Thus, the solutions are:

We look for solutions for the variable "y":

Thus, the system solutions are given by:

The circle is centered at (-8,3) and has a diameter of 20.

Step-by-step explanation:

The radius is 10 because you would take the square root of 100. To find the diameter you would multiply the radius by 2.