1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

We see that our h and our k are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

√r² = √16

∴ Our radius is equal to 4

Rational

Step-by-step explanation:

An irrational number cannot be written as the ratio. of two integers. An irrational number is simply the opposite of a rational number. (Recall that a rational number is one that can be represented as the ratio of two integers.

A rational number is one that can be written as an integer over an integer, with non-zero denominator. ie. all your fractions.

An irrational number cannot be expressed as a ratio of integers

-5 is rational because it is a number that ends and is not a decimal that doesnt terminate.