Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.) Center at the origin;
passes through (4, 6)

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, and . The distance between them is given by:

Equation of a circle:

The equation of a circle with center and radius r has the following format:

Center at the origin;

This means that

So

Passes through (4, 6)

The radius is the distance from this point to the center. So

So

Then

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.