What is the distance, d, between the points (2,5/2) and (8/3,1)? answer in the simplest radical form.

Step-by-step explanation:

We have the two points: (2, 5/2) and (8/3, 1).

And we want to find the distance between them.

So, we can use the distance formula:

Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:

Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:

Evaluate:

Square:

Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:

Add:

We can separate the square roots:

Simplify. So, our distance is:

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

4.08%

step-by-step explanation: