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walkerobrien5
26.10.2021 •
Mathematics
Question 13 of 20 :
Select the best answer for the question.
13. Find the distance between the points (-1/2,-8) and (-1/2,-2).
O A. 6
O B.1/2
O C. 10
O D. 8
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Ответ:
a) 6
Step-by-step explanation:
distance formula = the sq rt of the (difference of the y-values)² + (difference of the x-values)²
=![\sqrt{(-6^2) + (0^2)}](/tpl/images/2522/4311/a5d0a.png)
=![\sqrt{36}](/tpl/images/2522/4311/d1893.png)
= 6
Ответ:
Let's simplify \sqrt{75}
75
square root of, 75, end square root by removing all perfect squares from inside the square root.
We start by factoring 757575, looking for a perfect square:
75=5\times5\times3=\blueD{5^2}\times375=5×5×3=5
2
×375, equals, 5, times, 5, times, 3, equals, start color blueD, 5, start superscript, 2, end superscript, end color blueD, times, 3.
We found one! This allows us to simplify the radical:
\begin{aligned} \sqrt{75}&=\sqrt{\blueD{5^2}\cdot3} &=\sqrt{\blueD{5^2}} \cdot \sqrt{{3}} &=5\cdot \sqrt{3} \end{aligned}
75
=
5
2
⋅3
=
5
2
⋅
3
=5⋅
3
So \sqrt{75}=5\sqrt{3}
75
=5
3
square root of, 75, end square root, equals, 5, square root of, 3, end square root.Let's simplify \sqrt{75}
75
square root of, 75, end square root by removing all perfect squares from inside the square root.
We start by factoring 757575, looking for a perfect square:
75=5\times5\times3=\blueD{5^2}\times375=5×5×3=5
2
×375, equals, 5, times, 5, times, 3, equals, start color blueD, 5, start superscript, 2, end superscript, end color blueD, times, 3.
We found one! This allows us to simplify the radical:
\begin{aligned} \sqrt{75}&=\sqrt{\blueD{5^2}\cdot3} &=\sqrt{\blueD{5^2}} \cdot \sqrt{{3}} &=5\cdot \sqrt{3} \end{aligned}
75
=
5
2
⋅3
=
5
2
⋅
3
=5⋅
3
So \sqrt{75}=5\sqrt{3}
75
=5
3
square root of, 75, end square root, equals, 5, square root of, 3, end square root.