Karen started walking at 1 mile per hour. After she walked 2.5 miles, her friend Ned started walking along the same route at a piece of 1 mile per hour. If they continue to walk at the same rate, will Ned ever catch up to Karen? Explain.

No, Ned will never catch up to Karen.

Step-by-step explanation:

Karen started walking at 1 mile per hour.

Time = distance/speed

If she walks 2.5 miles, it means that the time she spent walking is

2.5/1 = 2.5 hours.

After she walked 2.5 miles, her friend Ned started walking along the same route at a speed of 1 mile per hour. Since Ned is walking at 1 mile per hour which is even slower than Karen's speed, it means that for every 1 mile that Ned walks, Karen walks 2.5 miles. Therefore, if

they continue to walk at the same rate, Ned will never catch up to Karen.

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