Answer:
x = 5
Step-by-step explanation:
√(2x − 1) + 2 = x
√(2x − 1) = x − 2
2x − 1 = (x − 2)²
2x − 1 = x² − 4x + 4
0 = x² − 6x + 5
0 = (x − 1) (x − 5)
x = 1 or 5
Check for extraneous solutions.
√(2(1) − 1) + 2 = 1
√(1) + 2 = 1
3 = 1
No solution
√(2(5) − 1) + 2 = 5
√(9) + 2 = 5
5 = 5
x = 5
The one you have selected is correct
The distance between Layana's house and store is 4 units.
<u>Explanation:</u>
Given:
Coordinates of Layana's house = 
Coordinates of the store = 
It can also be written as:
Coordinates of Layana's house =
Coordinates of the store =
The distance between the house and the shop is:

On substituting the value we get:

Therefore, the distance between Layana's house and store is 4 units.