find the distance between (0,4) and (-3,-2)?

Answer 1

(0+3)^2 + (4+2)^2 = 9 + 36 = 45; sqrt(45) = 3sqrt(5)

Answer 2

although it may seem complex, the easiest way to solve this is to look at your points on the coordinate plane and create a triangle with a line that connects the points as the hypothenuse (the "sloped" or "angled") and go straight down th y-axis from the point (0,4) until you reach -2. then go left until you connect with your point (-3,-2) to form the legs of the triangle.

after you have formed your triangle, use pythagorean's theorem (a^2 + b^2 = c^2, with a as your horizontal, b as your vertical and c as the distance between the points)

when you rearange the equation to solve for c you get:

c = squareroot of (a^2 + b^2)

then find c and that is your distance

Answer 3

There is 3 between the x value. There is 6 between the y. 3^2+6^2=45 the square root of 45 is about 6.7