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2 votes
Plz help on bottom one no guessing

Plz help on bottom one no guessing-example-1
User Chel
by
8.9k points

2 Answers

3 votes

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


The distance between (a,b) and (c,d) is
√((a-c)^2+(b-d)^2)


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



d = √((1 - -3)^2 + (2 - 3)^2) = √(4^2+1^2)=√(17) \approx 4.12


Answer: B 4.1 units


User Chris Haugen
by
7.5k points
4 votes

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:



\sqrt{(x_(1)-x)^(2) + (y_(1)-y)^(2)}


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



\sqrt{(-3-1)^(2) + (3-2)^(2)}=

=
√(16 + 1)=

=
√(17)


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



User Amine Jallouli
by
8.2k points

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