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const2013 [10]
3 years ago
10

Find the distance between the points (2, 8) and (-1, 9).

Physics
2 answers:
Shtirlitz [24]3 years ago
7 0
The approximate value for the distance between the two points is <span>3.162277663.16227766</span>.

<span><span>√10</span>≈<span>3.16227766

</span></span>
Ksju [112]3 years ago
7 0
Use the distance formula to determine the distance between the two points.<span><span>Distance=<span>√<span><span><span>(x2−x1)</span>2</span>+<span><span>(y2−y1)</span>2</span></span></span></span><span>Distance=<span><span><span>(x2-x1)</span>2</span>+<span><span>(y2-y1)</span>2
</span></span></span></span>Substitute the actual values of the points into the distance formula.<span>√<span><span><span>((−1)−(2))</span>2</span>+<span><span>((9)−(8))</span>2
</span></span></span><span>Simplify.
</span>Multiply <span><span>−1</span><span>-1</span></span> by <span>22</span> to get <span><span>−2</span><span>-2</span></span>.<span><span>√<span><span>(−1−2)2</span>+<span><span>((9)−(8))</span>2</span></span></span><span><span>(-1-2)2</span>+<span><span>((9)-(8))</span>2</span></span></span>Subtract <span>22</span> from <span><span>−1</span><span>-1</span></span> to get <span><span>−3</span><span>-3</span></span>.<span><span>√<span><span>(−3)2</span>+<span><span>((9)−(8))</span>2</span></span></span><span><span>(-3)2</span>+<span><span>((9)-(8))</span>2</span></span></span>Raise <span><span>−3</span><span>-3</span></span> to the power of <span>22</span> to get <span>99</span>.<span><span>√<span>9+<span><span>((9)−(8))</span>2</span></span></span><span>9+<span><span>((9)-(8))</span>2</span></span></span>Multiply <span><span>−1</span><span>-1</span></span> by <span>88</span> to get <span><span>−8</span><span>-8</span></span>.<span><span>√<span>9+<span>(9−8)2</span></span></span><span>9+<span>(9-8)2</span></span></span>Subtract <span>88</span> from <span>99</span> to get <span>11</span>.<span><span>√<span>9+<span>(1)2</span></span></span><span>9+<span>(1)2</span></span></span>Remove parentheses around <span>11</span>.<span><span>√<span>9+12</span></span><span>9+12</span></span>One to any power is one.<span><span>√9+1</span>9+1</span>Add <span>99</span> and <span>11</span> to get <span>1010</span>.<span>√10
</span><span>√10</span>≈ 3.16227766
The distance between the points (2, 8) and (-1, 9) is 3.16227766
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