nd the distance between the points $$ (-7.8,9) $$ and $$ (-7.8,4.1) $$. $$ \square $$ units

Question

UpStudy AI · Accepted Answer

We start by using the distance formula between two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$:

$$
d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
$$

Given the points $$(-7.8, 9)$$ and $$(-7.8, 4.1)$$, we have:

$$
x_1 = -7.8,\quad y_1 = 9,\quad x_2 = -7.8,\quad y_2 = 4.1
$$

Since the $$x$$-coordinates are the same, the formula simplifies to finding the absolute difference in the $$y$$-coordinates:

$$
d = \sqrt{(4.1-9)^2} = \sqrt{(-4.9)^2} = | -4.9 | = 4.9
$$

Thus, the distance between the points is:

$$
4.9 \text{ units}
$$
The distance between the points is 4.9 units.

nd the distance between the points and .
units