Hello :
<span> sin 2x = sin x and 0 ≤ x ≤ 2π.
all solutions :
2x= x +2k</span>π or x= π -x +2kπ ..... k in : Z
x = 2kπ or : x = π/2 + kπ
but :
<span>0 ≤ x ≤ 2π
</span><span>all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π are :
</span>k = 0 : x=0 , x= π/2
k=1 : x=2 π , x=3π/2
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:13
Step-by-step explanation: I took the test in K12 and the answer is 13
If there are 20 groups of 10, then there are 200 pencils. Subtract 200 and 137 to get the number of dull pencils.