Is this true or false? The following graph represents a proportional relationship:

Answer:

radius = 7 units

Step-by-step explanation:

We are given the equation;

x² - 10x + y² - 10y = -1

We are required to determine the radius of the circle;

We are going to use completing square method to solve for the radius and the center of the circle.

First we make sure the coefficient of x² and  y²  is 1

x² - 10x + y² - 10y = -1

Then we add the square of half the coefficient of x and y on both sides of the equation;

That is;

Simplifying the equation, we get;

Thus;

That is;

The equation of a circle is written in the form of;

Then (a, b) is the center and r is the radius.

Therefore;

In our case;

Then, center = ( 5, 5)

         radius = √49

                    = 7 units

The number of the distinct outfit is 30 each consisting of a sweater, a shirt, and a pair of slacks that can Kareem select.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have been given that Kareem has 4 sweaters, 6 shirts, and 3 pairs of slacks.

To determine the number of distinct outfits, each consisting of a sweater, a shirt, and a pair of slacks, can Kareem select.

Add 4 sweaters and 6 shirts and that should add up to 10 in total, then times 10 sweaters/shirts by 3 slacks to get 30 as a grand total.

Therefore, the number of the distinct outfit is 30 each consisting of a sweater, a shirt, and a pair of slacks that can Kareem select.

To learn more about numerical expression click here :

brainly.com/question/6037813

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