Find the distance between the points $$ (9,2) $$ and $$ (3,8) $$. Round decimals to the nearest tenth.

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt{(9-3)^2+(2-8)^2} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{\left(9-3ight)^{2}+\left(2-8ight)^{2}}$$
- step1: Subtract the numbers:
  $$\sqrt{6^{2}+\left(2-8ight)^{2}}$$
- step2: Subtract the numbers:
  $$\sqrt{6^{2}+\left(-6ight)^{2}}$$
- step3: Add the numbers:
  $$\sqrt{72}$$
- step4: Write as a product:
  $$\sqrt{36	imes 2}$$
- step5: Write in exponential form:
  $$\sqrt{6^{2}	imes 2}$$
- step6: Use the properties of radicals:
  $$\sqrt{6^{2}}	imes \sqrt{2}$$
- step7: Simplify the root:
  $$6\sqrt{2}$$
The distance between the points $$ (9,2) $$ and $$ (3,8) $$ is approximately $$ 8.5 $$ units when rounded to the nearest tenth.
两点之间的距离约为8.5个单位。

Find the distance between the points
and .
Round decimals to the nearest tenth.

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Find the distance between the points and . Round decimals to the nearest tenth.