Respuesta :
The length of the segment PQ is 25 units.
How to find the distance between two points?
- It can be calculated by using the distance formula.
- Distance formula consists of the coordinates of points on the graph.
Given: Segment PQ
P = (x₁, y₁) = (-3, 1) and Q = (x₂, y₂) = (4, 25)
We have to find the length of the segment PQ.
Length of the segment PQ can be found by using the distance formula.
⇒ PQ = [tex]\sqrt{(x_2 -x_1)^2+(y_2-y_1)^2}[/tex]
⇒ PQ = [tex]\sqrt{[4-(-3)]^2+(25-1)^2}[/tex]
⇒ PQ = [tex]\sqrt{7^2+24^2}[/tex]
⇒ PQ = [tex]\sqrt{49+576}[/tex]
⇒ PQ = [tex]\sqrt{625}[/tex]
⇒ PQ = 25 units
Therefore, the length of the segment PQ is 25 units.
Learn more about the distance between two points here: https://brainly.com/question/24190898
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