Chapter 13: Q. 7 (page 526)

Use the distance formula to find the distance between the two points.
(-8, 6) and (0, 0)

Short Answer

Expert verified

The distance is 10.

Step by step solution

Step-1 – Given

The given points are (-8, 6) and (0, 0).

Step-2 – To determine

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

Step-3 – Calculation

$L e t (x_{1}, y_{1}) = (- 8, 6) and (x_{2}, y_{2}) = (0, 0) .$

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

$\begin{array}{l} d = \sqrt{{(0 - (- 8))}^{2} + {(0 - 6)}^{2}} \\ d = \sqrt{{(0 + 8)}^{2} + {(0 - 6)}^{2}} \\ d = \sqrt{{(8)}^{2} + {(- 6)}^{2}} \\ d = \sqrt{64 + 36} \\ d = \sqrt{100} \\ d = 10 \end{array}$

Hence, the required distance is 10.

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Use the distance formula to find the distance between the two points.
(-8, 6) and (0, 0)

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.(-8, 6) and (0, 0)

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

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Study anywhere. Anytime. Across all devices.

Use the distance formula to find the distance between the two points.
(-8, 6) and (0, 0)