Answer:
A: -2
Step-by-step explanation:
You want some factor k such that k(5x) +(10x) = 0. That is, 5k+10 = 0. The solution to this is k=-2, corresponding to selection A.
9514 1404 393
Answer:
Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
Answer:
The cities are approximately 1452 km apart
Step-by-step explanation:
The two cities are on the same Longitude 90°W therefore the distance between them is on a great circle
Latitude of the first city = 23°N
Latitude of the second city = 36° N
Because their latitude are on the same polar axis, we subtract to get the angular difference
Angular Difference = 36 -23 =13°

where 

The cities are approximately 1452 km apart