Answer:
7.62
Explanation:
To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.
A^2 + B^2 = C^2
Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.
First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.
On the x-axis we have
A = 5 - 2
A = 3
The y-axis has
B = 4 - (-3)
B = 7
Plugging these values into the equation from earlier we get:
3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.
9+49 = C^2
sqrt(58) = C
7.615773106 = C
Rounded the the nearest hundredth:
C = 7.62