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.
Answer:
x = sqrt(15) - 1 or x = -1 - sqrt(15)
Step-by-step explanation:
Solve for x:
x^2 + 2 x + 7 = 21
Subtract 7 from both sides:
x^2 + 2 x = 14
Add 1 to both sides:
x^2 + 2 x + 1 = 15
Write the left hand side as a square:
(x + 1)^2 = 15
Take the square root of both sides:
x + 1 = sqrt(15) or x + 1 = -sqrt(15)
Subtract 1 from both sides:
x = sqrt(15) - 1 or x + 1 = -sqrt(15)
Subtract 1 from both sides:
Answer: x = sqrt(15) - 1 or x = -1 - sqrt(15)
If you have to simplify it , the answer would be 4x+6
<span>A) -5u + 2x = 22
B) -u - 6x = -34
</span>Multiplying A) by 3
A) -15u +6x = 66
B) -u -6x = -34 Then adding the 2 equations:
-16u = 32
u = -2
x = 6