Question

Point P has coordinates (-4,-2) and point Q has coordinates (4,3).
Calculate the shortest distance between P and Q.
Give your answer to 1 decimal place.

Answer 1

Step-by-step explanation:

The answer is 20.5.

By distance formula we can find the answer.

I hope this answer is correct

Answer 2

The distance between the point P and Q is $\sqrt{89}$

Step-by-step explanation:

Given as :

The coordinate of point P = $x_1 , y_1$  = - 4 , - 2

The coordinate of point Q = $x_2 , y_2$  = 4 , 3

Let The distance between the point P and Q = D

According to question

From Distance formula

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

Or,       D = $\sqrt{(4-(-4))^{2}+ (3-(-2))^{2} }$

Or,       D = $\sqrt{(4+4)^{2}+ (3+2)^{2} }$

Or,       D = $\sqrt{(8)^{2}+ (5)^{2} }$

Or,       D = $\sqrt{64+25}$

∴          D = $\sqrt{89}$

So, The distance between the point P and Q = D = $\sqrt{89}$

Hence ,  The distance between the point P and Q is $\sqrt{89}$   Answer