Chapter 13: Q. 8 (page 526)

Use the distance formula to find the distance between the two points.
(12, -1) and (0, -6)

Short Answer

Expert verified

The distance is 13.

Step by step solution

Step-1 – Given

The given points are (12, -1) and (0, -6).

Step-2 – To determine

We have to find the distance between the two points using the distance formula.

Step-3 – Calculation

$L e t (x_{1}, y_{1}) = (12, - 1) and (x_{2}, y_{2}) = (0, - 6) .$

Using the distance formula $d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} [d = distance] weget$ :

$\begin{array}{l} d = \sqrt{{(0 - 12)}^{2} + {(- 6 - (- 1))}^{2}} \\ d = \sqrt{{(0 - 12)}^{2} + {(- 6 + 1)}^{2}} \\ d = \sqrt{{(- 12)}^{2} + {(- 5)}^{2}} \\ d = \sqrt{144 + 25} \\ d = \sqrt{169} \\ d = 13 \end{array}$

Hence, the required distance is 13.

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Use the distance formula to find the distance between the two points.
(12, -1) and (0, -6)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Use the distance formula to find the distance between the two points.(12, -1) and (0, -6)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

Use the distance formula to find the distance between the two points.
(12, -1) and (0, -6)