Find the coordinates of point p along the directed like segment ab from a(1,6) to b(-2,-3) so that the ratio of ap to pb is 5 to 1

The coordinates of

Step-by-step explanation:

Coordinates of A= (1,6) and B = (-2,-3)

AP:PB = 5:1

Let the coordinates of P =(x,y)

Now, by SECTION FORMULA:

If m1: m2 is the ratio between two segments, then the coordinate of point is given as

Similarly here, (x1, y1) = (1,6) , (x2, y2) = (-2,-3) and m1: m2 = 5: 1

Putting all values in equation, we get:

or,

Hence, the coordinates of

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40