If PA=6, PD=4, and BE=5, find PE
4
5
6

Option A: 4 is the length of PE

Explanation:

Given that PA=6, PD=4, and BE=5

We need to determine the length of PE

The length of PE can be determined using the intersecting secant tangent theorem.

Applying the secant tangent theorem, we get,

Substituting the values of the PA and BE, we get,

Simplifying, we get,

Subtracting both sides of the equation by 36, we get,

Switch sides, we get,

Solving this equation, we get,

Equating each term equal to zero, we get,

and

Simplifying, we get,

and

The value of PE cannot be negative.

Thus, the length of PE is 4.

Hence, Option A is the correct answer.

3

step-by-step explanation:

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4