Consider RS endpoints R(-2,1) and S(4,4) Find point Q that is 2/3 away NEED THIS ASAP PLEASE ANSWER

The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.

The point Q is (2,3)

Step-by-step explanation:

Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).

The required point Q must satisfy the relation:

d(RQ) = 2/3 d(RS)

Where d is the distance between two points.

The horizontal and vertical axes also satisfy the same relation:

x(RQ) = 2/3 x(RS)

And, similarly:

Working on the first condition:

Removing the parentheses:

Adding 2:

x = 2

Similarly, working with the vertical component:

Removing the parentheses:

Subtracting 1:

y = 3

The point Q is (2,3)

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: