Apark is represented on a map with the following vertices coordinates: vertex 1 is at (−4, −1) . vertex 2 is at (−4, 5) . vertex 3 is at (2, 5) . vertex 4 is at (2, −1) . linsey jogs along the the edge of the park in order from vertex 1 to vertex 2 to vertex 3 to vertex 4 and then back to vertex 1. one unit on the coordinate grid equals 20 yd. what is the total distance lindsey jogged? enter your answer in the box.

Lindsey jogged 480 yards.

Step-by-step explanation:

The distance between two vectors, and , in which

Is given, in units on the coordinate grid, by the following formula:

So:

From vertex 1 to vertex 2

From (-4,-1) to (-4,5)

From vertex 2 to vertex 3

From (-4,5) to (2,5)

Total distance is 6+6 = 12 units

From vertex 3 to vertex 4

From (2,5) to (2,-1)

Total distance is 6+6+6 = 18 units

From vertex 4 to vertex 1

From (2,-1) to (-4,,-1)

Total distance is 6+6+6+6 = 24 units

Each unit on the coordinate grid equals 20 yards.

So Lindsay jogged 24*20 = 480 yards.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer: 414,377,008

step-by-step explanation:

just multiply it