Respuesta :
Answer: [tex]d = 9.4[/tex]
Step-by-step explanation:
The formula for calculating distance is given as :
[tex]d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]x_{1}=-4[/tex]
[tex]x_{2}=4[/tex]
[tex]y_{1}=-2[/tex]
[tex]y_{2}=3[/tex]
substituting into the formula , we have :
[tex]d = \sqrt{(4-(-4))^{2}+(3-(-2))^{2}}[/tex]
[tex]d = \sqrt{(8)^{2}+(5)^{2}}[/tex]
[tex]d = \sqrt{64+25}[/tex]
[tex]d = \sqrt{89}[/tex]
[tex]d = 9.433981132[/tex]
[tex]d = 9.4[/tex] to 1 decimal place