Question

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).

Answer 1

The location of the treasure on the treasure map is (b) (7.6,8.8)

The ratio is given as:

$m : n = 5 : 9$

The coordinates of the rock and the tree are:

$Rock =(3,2)$

$Tree = (16,21)$

The x and y coordinates of the location of the treasure are:

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

So, we have:

$(x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})$

$(x,y) = (\frac{107}{14},\frac{123}{14})$

$(x,y) = (7.6,8.8)$

Hence, the location of the treasure is (b) (7.6,8.8)

Read more about line segment ratios at:

brainly.com/question/14382744

Answer 2

Answer:

B. (7.6, 8.8)

Step-by-step explanation: