Complete the square to find the center and radius of each circle. Show work please..x2+y2-6x+14y-6=0..And..x2+y 2+8x+8y=0

center of circle is (3, -7) and the radius is 8

center of circle is (-4,-4) and the radius is

Step-by-step explanation:

Rearrange the terms

Using the completing the square method

Simplify,

Therefore the center of circle is (3, -7) and the radius is 8

Next example,

Rearrange the terms,

Using completing the square method,

Simplify,

Therefore the center of circle is (-4,-4) and the radius is

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.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles