Question

find the distance between the points (-7, 5.7) and (10, 5.7). units submit

Explanation:

Step1: Identify the formula

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 \(y_1 = y_2=5.7\), so \(d=\vert x_2 - x_1\vert\) (since \((y_2 - y_1) = 0\)).

Step2: Substitute the \(x -\) values

Substitute \(x_1=-7\) and \(x_2 = 10\) into \(d=\vert x_2 - x_1\vert\). Then \(d=\vert10-(-7)\vert=\vert10 + 7\vert\).

Step3: Calculate the absolute - value

\(\vert10 + 7\vert=\vert17\vert=17\).

Answer:

\(17\)