Question

Find the distance between (-10,12) and (-6,-14). Round to the nearest hundredth

Answer 1

Answer:

26.31 units

Step-by-step explanation:

Given: Points $(-10,12),(-6,-14)$

To find: Distance between the given points

Solution:

Let $(x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)$

The distance formula is used to find the distance between two points $(x_1,y_1),(x_2,y_2)$

According to distance formula,

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\sqrt{(-6+10)^2+(-14-12)^2}\\ =\sqrt{16+676}\\ =\sqrt{692}\\ =26.31$

So, distance between the given points is 26.31 units