Question

Which expression gives the distance between the points (4,6) and (7,-3)

Answer 1

Answer:

D = 9.4868

Step-by-step explanation:

The expression is the following

D = √((x2-x1)^2+(y2-y1)^2)

Where

(x1,y1) = (4,6)

(x2,y2) = (7,-3)

D = √((7-4)^2+(-3-6)^2)

D = √((3)^2+(-9)^2)

D = √(9+81)

D = √(90)

D = 9.4868

Answer 2

Answer:

$d = \sqrt{(7-4)^{2}+(-3-6)^{2}}$

Step-by-step explanation:

The expression used for calculating distance between two points involves the square root of sum of squares of differences of x-intercepts and y-intercepts.

The formula is given by:

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

Here,

$(x_{1},y_{1}) = (4,6)\\ (x_{2},y_{2}) = (7,-3)\\Putting\ the\ values\\d = \sqrt{(7-4)^{2}+(-3-6)^{2}}$

Hence, the following expression will give the distance between given points

$d = \sqrt{(7-4)^{2}+(-3-6)^{2}}$

Solving it will give:

$d = \sqrt{(3)^{2}+(-9)^{2}}\\= \sqrt{9+81}\\=\sqrt{90}$