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What is the distance from P to Q?

OA. 1 unit
OB. 7 units
OC. 5 units
D. 25 units

What Is The Distance From P To Q OA 1 Unit OB 7 Units OC 5 Units D 25 Units class=

Sagot :

Esther

Answer:

C) 5 units

Step-by-step explanation:

In order to find the distance between points P and Q, we will be using the Distance Formula.

[tex]\sf \textsf{\underline{Distance Formula:}}\ \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given:

  • P (3, -1)
  • Q (-1, -4)

where:

⇒ x₁ = 3, y₁ = -1

⇒ x₂ = -1, y₂ = -4

Substitute these values into the formula:

[tex]\sf\\\implies d=\sqrt{(-1-3)^2+(-4-(-1))^2}\\\\\implies d=\sqrt{(-1-3)^2+(-4+1)^2}\\\\\implies d=\sqrt{(-4)^2+(-3)^2}\\\\\implies d=\sqrt{16+9}\\\\\implies d=\sqrt{25}\\\\\implies d=5[/tex]

The distance from P to Q is 5 units.

Learn more here:

brainly.com/question/21095661

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