Answer:
Option A: 4 units is the correct answer.
Step-by-step explanation:
Given that:
Layana's house is located at (
)
Store is located at (
)
We can find distance between two points by using distance formula.
S = 
The points can also be written as;
House (8/3, 22/3)
Store (-4/3, 22/3)
Putting values in the formula.
S = 
S = 
S = 
S = 
S = 
S = 4 units
Hence,
Option A: 4 units is the correct answer.
The answer would be (3,-1)
Answer: 2 < x < 16
The triangle inequality theorem says that if we have a triangle with sides a,b,c then
b-a < c < b+a
with b being longer than 'a'
In this case, a = 7 and b = 9 and c = x
so we have
b-a < c < b+a
9-7 < c < 9+7 .... replace a with 7, replace b with 9
2 < c < 16
2 < x < 16 .... replace c with x
So x can be any number between 2 and 16. The value of x cannot be equal to 2. Also, x cannot be equal to 16 either.
