Question

find the distance between the points (-10, 9) and (6, 9). units submit

Explanation:

Step1: Identify the formula for distance

For two points \((x_1,y_1)\) and \((x_2,y_2)\), the distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1=-10,y_1 = 9,x_2=6,y_2 = 9\).

Step2: Substitute the values into the formula

Substitute the values: \(d=\sqrt{(6-(-10))^2+(9 - 9)^2}\).
Simplify inside the square - root:
First, \(6-(-10)=6 + 10=16\) and \(9 - 9=0\).
So, \(d=\sqrt{16^2+0^2}\).
Since \(16^2 = 256\) and \(0^2=0\), then \(d=\sqrt{256+0}\).

Step3: Calculate the square - root

\(d=\sqrt{256}\).
Since \(16\times16 = 256\), \(\sqrt{256}=16\).

Answer:

16