Question

i) (-99, 38) & (-99, 722)

Explanation:

Assuming the problem is to find the distance between the two points \((-99, 38)\) and \((-99, 722)\):

Step1: Identify the formula for distance between two points with the same x - coordinate

When two points \((x_1,y_1)\) and \((x_2,y_2)\) have \(x_1 = x_2\), the distance \(d\) between them is given by \(d=\vert y_2 - y_1\vert\) (since the line connecting them is vertical). Here, \(x_1=-99,x_2 = - 99,y_1 = 38,y_2=722\).

Step2: Substitute the values into the formula

Substitute \(y_1 = 38\) and \(y_2=722\) into the formula \(d=\vert y_2 - y_1\vert\). We get \(d=\vert722 - 38\vert\).

Step3: Calculate the value inside the absolute - value

First, calculate \(722-38 = 684\). Since \(684\) is positive, \(\vert684\vert=684\).

Answer:

The distance between the two points \((-99, 38)\) and \((-99, 722)\) is \(684\).