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Tems11 [23]
3 years ago
9

Question 1: Find the distance between the points (1, 4) and (5, 1).

Mathematics
2 answers:
Anit [1.1K]3 years ago
6 0

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(5-1)^2+(1-4)^2}\implies d=\sqrt{4^2+(-3)^2} \\\\\\ d=\sqrt{16+9}\implies d=\sqrt{25}\implies d=5

Xelga [282]3 years ago
4 0

Answer: second option.

Step-by-step explanation:

You need to use the formula for calculate the distance between two points. This is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the point (1, 4) and the point (5, 1), you can say that:

x_2=5\\x_1=1\\y_2=1\\y_1=4

Now you must substitute these values into the formula.

The distance between the points (1, 4) and (5, 1) is the following:

d=\sqrt{(5-1)^2+(1-4)^2}\\\\d=5

This matches with the second option.

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Read 2 more answers
Geometry help needed!
salantis [7]

Answer:

AC Midpoint (2,0)-

CB Midpoint (5,-4)

midlength is 5

Step-by-step explanation:

midpoint formula (\frac{x_{1}+x_{2}  }{2} ,\frac{y_{1} +y_{2} }{2})

A(2,4) C(2,-4)

\frac{2+2}{2} =\frac{4}{2}=2\\\frac{4-4}{2}  =\frac{0}{2} =0

(2,0)

C(2,-4) B(8,-4)

\frac{8+2}{2} =\frac{10}{2} =5

\frac{-4-4}{2} =\frac{-8}{2} =-4  midpoint is  (5,-4)

Distance between the 2 midpoints is the midsegment

(2,0) and (5,-4)

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