Question

Find the distance between the points (3,4) (-2,-5)​

Answer 1

Step-by-step explanation:

Let d be the required distance.

∴d=(3−6)2+(−2−4)2

⇒d=9+36

⇒d=45

⇒d=35

Answer 2

The distance between the points (3,4) (-2,-5) is√106 unit or 10.3 unit.

Given:

• Two Cartesian coordinates.
• (3,4) and (-2,-5)

To find:

• Find the distance between two points.

Solution:

Formula to be used:

If two points are $(x_1,y_1)$ and $(x_2,y_2)$ then distance between the points is given by $\bf \sqrt{( {x_2 - x_1)}^{2} + ( {y_2 - y_1)}^{2} }$

Step 1:

Write the coordinates in distance formula.

$= \sqrt{( {3 -( - 2))}^{2} + ( {4 - ( - 5))}^{2} }$

or

$= \sqrt{( {3 + 2)}^{2} + ( {4 + 5)}^{2} }$

or

$= \sqrt{( {5)}^{2} + (9)^{2} }$

Step 2:

Open squares and solve square root.

$= \sqrt{25 + 81}$

or

$= \sqrt{106}$

or

$= 10.295$

or

≈ 10.3 units

Thus,

The distance between the points (3,4) (-2,-5) is √106 unit or 10.3 unit.

Learn more:

1) what is distance of a point a (-5,6) from origin

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2) find the distance between A(1,-3) and B(-4,4) and rounded off to two decimals

https://brainly.in/question/5952533