Question

Round decimal answers to the nearest tenth . what is the midpoint n lenght of AB a(-4, 4) b(6, -5)

Answer 1

The midpoint of AB can be gotten by the formula

`((x_1+x_2)/(2),\text{ }(y_1+y_2)/(2))`
`\begin{gathered} \text{For ( -4, 4) and (6, -5)} \\ =((-4+6)/(2),\text{ }(4+(-5))/(2)) \end{gathered}`
`((2)/(2),\text{ }(-1)/(2))`
`(1,\text{ -}(1)/(2))`
`\begin{gathered} d=\sqrt[]{(x2-x1)^2+(y2-y1)^2\text{ }}\text{ = }\sqrt[]{(6-(-4))^2+(-5-4)^2} \\ =\sqrt[]{(6+4)^2+(-9)^2} \\ =\sqrt[]{100+81}\text{ =}\sqrt[]{181} \\ =13.453 \\ \approx13.5\text{ (nearest tenth)} \end{gathered}`