Question

what is the distance between the points?
√53 units
9 units
3 units
√40 units

Explanation:

Since the points are not clearly - stated in the image, let's assume the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ for two points $(x_1,y_1)$ and $(x_2,y_2)$. But without the coordinates of the two points, we can't directly calculate. However, if we assume the points are such that the horizontal distance (difference in x - coordinates) $a$ and vertical distance (difference in y - coordinates) $b$ are known, we calculate as follows:

Step1: Recall distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, which is based on the Pythagorean theorem. If the horizontal displacement between the two points is $a$ and the vertical displacement is $b$, then $d=\sqrt{a^{2}+b^{2}}$.

Step2: Assume values for $a$ and $b$ (for example purposes, since points are not given)

Let's assume $a = 6$ and $b = 2$. Then $d=\sqrt{6^{2}+2^{2}}=\sqrt{36 + 4}=\sqrt{40}$.

Answer:

$\sqrt{40}$ units (This is just an example - based answer as the actual points are not visible in the image. The correct answer depends on the actual coordinates of the two points.)