Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?

The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet

Step-by-step explanation:

The given coordinates of the clues for the treasure hunt are

The location of the first clue = 5 units north of the flag pole

The coordinates is (0, 5)

The location of the second clue = 6 units east of the flag pole

The coordinates is (6, 0)

The location of the final clue = 5 units south of the flag pole

The coordinates is (0, -5)

The flagpole is at the origin

The coordinates of the flagpole is (0, 0)

Each unit on the graph = 50 feet

From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;

The shortest distance between 2 points is a straight line

Therefore

The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units

The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet

The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units

The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet

By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61

The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column