If pa=6 and pe= 4 find be
a: 9
b: 6
c: 5

 correct option is c) 5

Step-by-step explanation:

In this diagram PA is tangent of circle and PB is secant of circle

since relation between secant and tangent is mention in figure-1

so, we have length of tangent AP = 6 and PE= 4

Now, put the given values in formula C² = E . ( A + E )

6² = 4 . ( A + 4 )

36 = 4 . A + 16

subtract 16 from both sides in above expression,

36 - 16 = 4 . A + 16 - 16

20 = 4A

divide both the sides by 4 in  above expression,

5 = A

hence , length of BE is 5

Therefore, correct option is c) 5

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.