Given:
Positions of two artifacts are at points (1, 4) and (5, 2).
To find:
The distance between these two artifacts.
Solution:
Distance formula: The distance between two points is

Using distance formula, the distance between two points (1, 4) and (5, 2) is





Round to the nearest tenth of a unit.

Therefore, the distance between two artifacts is 4.5 units.
X-16=-8
Add 16 on both sides
x=-8+16
And solve; your answer will be
x=8
Answer:
The answer is x=1
Step-by-step explanation:
-4(3x+6)+6=-30
-12x-24+6=-30
-12x-18=-30
-12x-18+18=-30+18
-12x=-12
-12x/-12=-12/-12
x=1
Answer:
56 degrees
Step-by-step explanation:
Answer:
C. 185 ft
Step-by-step explanation:
The work is in the attached picture file, if you need it. Basically the question sets up a right triangle, for which the base is 200 and the height is the goal that you are solving for. It is given that the angle between hypotenuse and base is 42 degrees. For this you use tangent to say that
tan(42) = h / 200
200 tan (42) = h
h = 180 feet.
But then you must remember that this triangle starts 5 feet off of the ground. So you add the 5 feet and get 185 feet as the height of the tower.