Question

1) Find the distance between the points A(-2, -3) and B(3,-5)

Please help. 1st correct ans will mark the brainliest​

Answer 1

Step-by-step explanation:

√(3-(-2)^2)+(-5-(-3)^2)

√(3+2^2)+(-5+3)^2

√5^2+(-2)^2

√25+4

√29

Answer 2

Let's understand the question.

★ This question says to find out the distance between the points, and we are given with the two points, by the help of that two points we can easily find the distance.

Let's solve the problem now.

Given that,

• A(-2, -3).

• B(3, - 5).

And, we need to find out the distance between these points.

The given points are A(-2, 3) and B(3, -5).

Here,

• x₁ = -2.

• y₁ = -3.

• x₂ = 3.

• y₂ = -5.

We can find the distance between the points by using the distance formula which says,

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

Now, substituting all the given values in the formula, we get:

$\rm{:\implies AB = \sqrt{ {(3 - ( - 2))}^{2} + {(-5 - ( - 3))}^{2} } }$

$\rm{:\implies AB = \sqrt{ {(3 + 2)}^{2} + {(-5 + 3)}^{2} } }$

$\rm{:\implies AB = \sqrt{ {(5)}^{2} + {(-5 + 3)}^{2} } }$

$\rm{:\implies AB = \sqrt{ {(5)}^{2} + {(-2)}^{2} } }$

$\rm{:\implies AB = \sqrt{25 + {(-2)}^{2} } }$

$\rm{:\implies AB = \sqrt{25 + 4}}$

$\bf{:\implies \boxed{ \bf{AB = \sqrt{29}}}}$

Thus, the distance between of the points is √29 units.