Answer:
- [tex] \sf{\red{\sqrt{149} }}[/tex]
[tex]\\[/tex]
Step-by-step explanation:
[tex]\\[/tex]
We are given two points:
[tex]\\[/tex]
[tex] \dashrightarrow \: \: \sf (x_{1}, y_{1})= (-7,3) \\ \\ [/tex]
[tex] \dashrightarrow \: \: \sf (x_{2},y_{2}) = (10,3) \\ \\ [/tex]
Using distance formula,
[tex]\\[/tex]
[tex] \dashrightarrow \: \: \sf D = {\sqrt {(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2}} \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf D = \sqrt{{ \{(3 - ( - 7)} \}^{2} + (3 - 10)^{2} } \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf D = \sqrt{(10)^{2} + {( - 7)}^{2} } \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf D = \sqrt{100 + 49} \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf \red{D = \sqrt{149} } \\ \\ [/tex]
Hence,
[tex]\\[/tex]
- Required distance is[tex] \: \sf\sqrt{149} [/tex]
