Acircle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. what are the coordinates for the center of the circle and the length of the radius?

 The co-ordinates of the center are (-7, -1) and length of the radius is 6 units.

Step-by-step explanation:  The given equation of a circle is as follows :

We are to find the co-ordinates of the center and the length of the radius of the circle.

We know that

the standard equation of a circle with center at the point (h, k) and radius r units is given by

From equation (i), we have

Comparing with the standard equation, we get

the co-ordinates of the center, (h, k) = (-7, -1)  

and

length of the radius, r = 6 units.

Thus, the co-ordinates of the center are (-7, -1) and length of the radius is 6 units.

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: