What is the distance between (-1,7) and (44,3)?

2 Answers
smendyka
Mar 29, 2018

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)

Substituting the values from the points in the problem gives:

d = sqrt((color(red)(44) - color(blue)(-1))^2 + (color(red)(3) - color(blue)(7))^2)

d = sqrt((color(red)(44) + color(blue)(1))^2 + (color(red)(3) - color(blue)(7))^2)

d = sqrt(45^2 + (-4)^2)

d = sqrt(2025 + 16)

d = sqrt(2041)

Or

d ~= 45.177

Jim G.
Mar 29, 2018

~~45.18" to 2 dec. places"

Explanation:

"calculate the distance using the "color(blue)"distance formula"

•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

"let "(x_1,y_1)=(-1,7)" and "(x_2,y_2)=(44,3)

rArrd=sqrt((44+1)^2+(3-7)^2)

color(white)(rArrd)=sqrt(2041)~~45.18

Related questions
See all questions in Distance Formula
Impact of this question
1676 views around the world
You can reuse this answer
Creative Commons License