Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the distance between the points (-6.7, 8.4) and (-6.7, -4). units …

Question

find the distance between the points (-6.7, 8.4) and (-6.7, -4). units submit

Explanation:

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

When two points \((x_1,y_1)\) and \((x_2,y_2)\) have \(x_1 = x_2\), the distance \(d=\vert y_1 - y_2\vert\). Here \(x_1=-6.7,x_2 = -6.7,y_1 = 8.4,y_2=-4\).

Step2: Calculate the difference in y - coordinates

\(y_1-y_2=8.4-(-4)=8.4 + 4=12.4\)

Step3: Take the absolute value

Since distance is non - negative, \(d=\vert12.4\vert = 12.4\)

Answer:

\(12.4\)