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01.09.2020 •
Mathematics
Find the length of the segment. Round your answer to the nearest tenth.
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Ответ:
The length of the line segment: 5.8 units
Step-by-step explanation:
To find the length of a line segment, you must us the formula:
D=![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](/tpl/images/0737/0617/60cfb.png)
1. well, you must first identify your coordinates
Point A is (-2, -4) which is (
,
)
Point B is (1, 1) which is (
,
)
2. Now you put these coordinates into your equation
D=![\sqrt{(1--2)^2+(1--4)^2}](/tpl/images/0737/0617/ef377.png)
Ofc, you gotta keep in mind of any double negatives
D=![\sqrt{(1+2)^2+(1+4)^2}](/tpl/images/0737/0617/fbe03.png)
3. simplify
D=![\sqrt{(3)^2+(5)^2}](/tpl/images/0737/0617/daa12.png)
D=![\sqrt{9+25}](/tpl/images/0737/0617/5abf7.png)
D=![\sqrt{34}](/tpl/images/0737/0617/2f895.png)
The square root of 34 is 5.83095189.... in decimal form
4. Round it to the nearest tenth
5.83 and since 3 is lower than five, it does nothing
5.8= The length of your line segment!
Ответ: