Question

Distance between points. Round to the nearest tenth if necessary (0,1) (-4,-3) please solve using distance formula

Answer 1

d = 5.7

Step-by-step explanation

The distance formula between points (x1, y1) and (x2, y2) is:

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

For this problem, the distance is:

`\begin{gathered} d=\sqrt[]{(0-(-4))^2+(1-(-3))^2} \\ d=\sqrt[]{4^2+4^2} \\ d=\sqrt[]{16+16} \\ d=\sqrt[]{32} \\ d=4\sqrt[]{2} \\ d=5.656854\ldots \end{gathered}`

To round this to the nearest tenth we have to see the number in the hundedths. If it is 5 or more, then we have to add one to the thounsands place. If it's 4, we should take a look at the thousandths, because if that's 5 or more, then we'll have to round the hundredths to 5 and then round the tenths 1 more. This is the same process for all the decimals.

In this case, we have a 6 in the tenths and a 5 in the hundredths, so to round to the nearest tenth, we have to add 1 to the tenths:

`d=5.7`