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user100 [1]
4 years ago
11

What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?

Mathematics
2 answers:
natali 33 [55]4 years ago
3 0
\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -3 &,& -4~) 
%  (c,d)
&&(~ -8 &,& 1~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2}
\\\\\\
d=\sqrt{(-5)^2+5^2}\implies d=\sqrt{50}\implies d=\sqrt{25\cdot 2}\implies d=\sqrt{5^2\cdot 2}
\\\\\\
d=5\sqrt{2}
Nady [450]4 years ago
3 0

Answer: 5.83 units

Step-by-step explanation:

The distance between points A(a,b) and B(c,d) is given by :-

\text{Distance}=\sqrt{(d-b)^2+(c-a)^2}

Given points :  (-3,-4) and (-8,1)

Now, the distance between the two points  (-3,-4) and (-8,1) is given by :-

\text{Distance}=\sqrt{(1-4)^2+(-8-(-3))^2}\\\\\Rightarrow\ \text{Distance}=\sqrt{(-3)^2+(-8+3)^2}\\\\\Rightarrow\ \text{Distance}=\sqrt{9+(-5)^2}=\sqrt{9+25}\\\\\Rightarrow\ \text{Distance}=\sqrt{34}=5.83095189485\approx5.83\text{ units}

Hence, the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid is 5.83 units.

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