Question

The distance between the points (2, -3) and (10,--9) (in units) is -
(a) 4/13
(b) 12
(c) 10
(d) 2/13​

Answer 1

Answer:

option c 10 is the correct answer

I think so

not sure about it

Answer 2

The distance between (2, -3) and (10, -9) is "option c ) 10 units".

Step-by-step explanation:

Here, $x_{1} =2,y_{1} =-3$ and $x_{2} =10,y_{2} =-9$

To find, the distance between the points (2, -3) and (10, -9) =  ___ units

We know that,

The distance formula,

$\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

The distance between the points (2, -3) and (10, -9)

= $\sqrt{(10-2)^{2}+(-9-(-3))^{2}}$

= $\sqrt{(10-2)^{2}+(-9+3)^{2}}$

= $\sqrt{(8)^{2}+(-6)^{2}}$

= $\sqrt{64+36}$

= $\sqrt{100}$

= 10 units

∴ The distance between the points (2, -3) and (10, -9) = 10 units

Thus, the required "option c) 10 units" is correct.