Option A: 25 units is the distance between the points [tex](0,-3)[/tex] and [tex](4,0)[/tex]
Explanation:
Given that the two coordinates [tex](0,-3)[/tex] and [tex](4,0)[/tex]
We need to determine the distance between these two points.
The distance between the two points can be determined using the distance formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting the coordinates in the formula, we get,
[tex]d=\sqrt{(4-0)^2+(0+3)^2}[/tex]
Simplifying the terms within the bracket, we get,
[tex]d=\sqrt{(4)^2+(3)^2}[/tex]
Squaring the terms, we get,
[tex]d=\sqrt{16+9}[/tex]
Adding, we get,
[tex]d=\sqrt{25}[/tex]
Simplifying, we have,
[tex]d=5[/tex]
Thus, the distance between the two points is 5 units.
Therefore, Option A is the correct answer.
Answer:
A
Step-by-step explanation:
sqrt[(-3)² + 4²]
sqrt(9 + 16)
sqrt(25)
5
