Respuesta :

DeanR

That's the distance formula, which is the Pythagorean Theorem applied to the points.


The distance between (a,b) and (c,d) is [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex]


a-c is the signed distance in the x direction between the points. b-d is the signed distance in the y direction between the points. Since the axes are perpendicular, these make a right triangle whose hypotenuse is the distance between the points.


Here that just means our distance is


[tex]d = \sqrt{(1 - -3)^2 + (2 - 3)^2} = \sqrt{4^2+1^2}=\sqrt{17} \approx 4.12[/tex]


Answer: B 4.1 units


PenguinHelper

The answer is B, 4.1 units.


To solve this problem, we can use the distance formula. The distance formual states that the distance between two points, (x₁, y₁) and (x, y) is:


[tex] \sqrt{(x_{1}-x)^{2} + (y_{1}-y)^{2}} [/tex]


Now we can substitute the values of the points (-3, 3) and (1, 2) and solve. The expression become:


[tex] \sqrt{(-3-1)^{2} + (3-2)^{2}} [/tex]=

=[tex] \sqrt{16 + 1} [/tex]=

=[tex] \sqrt{17} [/tex]


Rounded to the nearest tenth, the square root of 17 is 4.1, meaning that the answer is B, 4.1 units.



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