Question

Find the distance between (-2,4) and (3,-2):

Answer 1

Answer:

7.8 units

Step-by-step explanation:

sqrt[ (-2-4)² + (3--2)² ]

sqrt[ 36 + 25 ]

sqrt(61)

7.8102496759

Answer 2

Option C: The distance between the two points is 7.8 units

Explanation:

Given that the two points are (-2,4) and (3,-2)

Distance between the two points:

The distance between the two points can be determined using the formula,

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

Substituting the coordinates (-2,4) and (3,-2), we get,

$c=\sqrt{(3+2)^2+(-2-4)^2}$

Simplifying the terms, we get,

$c=\sqrt{(5)^2+(-6)^2}$

Squaring the terms, we have,

$c=\sqrt{25+36}$

Adding, we get,

$c=\sqrt{61}$

$c=7.8$

Thus, the distance between the two points is 7.8 units

Therefore, Option C is the correct answer.