Marsh Morgan
11/15/2023 · Senior High School
What is the distance between the \( (-5,0) \) and \( (0,2) \) ? Write answer as an exact answer no decimals and make sure to simplify if necessary.
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( \sqrt{(0-(-5))^2+(2-0)^2} \).
Calculate the value by following steps:
- step0: Calculate:
\(\sqrt{\left(0-\left(-5\right)\right)^{2}+\left(2-0\right)^{2}}\)
- step1: Remove the parentheses:
\(\sqrt{\left(0+5\right)^{2}+\left(2-0\right)^{2}}\)
- step2: Remove 0:
\(\sqrt{5^{2}+\left(2-0\right)^{2}}\)
- step3: Remove 0:
\(\sqrt{5^{2}+2^{2}}\)
- step4: Add the numbers:
\(\sqrt{29}\)
The distance between the points \( (-5,0) \) and \( (0,2) \) is \( \sqrt{29} \) units.
Quick Answer
The distance is \( \sqrt{29} \) units.
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