Question

Plz help on bottom one no guessing

Answer 1

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:

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

=$\sqrt{16 + 1}$=

=$\sqrt{17}$

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

Answer 2

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

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

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

$d = \sqrt{(1 - -3)^2 + (2 - 3)^2} = \sqrt{4^2+1^2}=\sqrt{17} \approx 4.12$

Answer: B 4.1 units