A map of Pulaski County is laid out in the standard (x. y) coordinate plane. The center of the county is located at the origin. A cell phone tower is at (-8, 10) and Jordan’s house is at (-12, -7). Each coordinate unit represents 1 mile. The tower’s signal range is 15 miles in all directions.
The strength of the tower’s signal to Jordan’s house depends on the straight-line distance between his house and the tower. What is the straight-lie distance in miles, between Jordan’s house and the tower?
A) 305
B) 349
C) 365
D) 409
E) None of the above

Please help fast

E

Step-by-step explanation:

Sqrt[(10 - (-7))² + (-8 - (-12))²]

Sqrt(305)

17.46

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)