Question

find the distance between the two points rounding to the nearest tenth (if necessar(6,4) and (2,9)

Explanation:

Step1: Recall the distance formula

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
Here, \(x_1 = 6,y_1 = 4,x_2 = 2,y_2 = 9\).

Step2: Substitute the values into the formula

First, calculate \((x_2 - x_1)\) and \((y_2 - y_1)\):
\(x_2 - x_1=2 - 6=- 4\)
\(y_2 - y_1=9 - 4 = 5\)

Then, square these values:
\((x_2 - x_1)^2=(-4)^2 = 16\)
\((y_2 - y_1)^2=5^2=25\)

Add these squared values:
\(16 + 25=41\)

Take the square root:
\(d=\sqrt{41}\approx6.4\) (rounded to the nearest tenth)

Answer:

\(6.4\)