Find the distance between the points $$ (4,-6) $$ and $$ (10,8) $$. Round decimals to the nearest tenth.

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We start with the distance formula:
$$
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
$$
Plugging in $$ (x_1, y_1) = (4, -6) $$ and $$ (x_2, y_2) = (10, 8) $$:
$$
d = \sqrt{(10 - 4)^2 + (8 - (-6))^2}
$$
$$
d = \sqrt{6^2 + 14^2}
$$
$$
d = \sqrt{36 + 196}
$$
$$
d = \sqrt{232}
$$
Simplifying, note that:
$$
232 = 4 \times 58
$$
Thus:
$$
d = \sqrt{4 \times 58} = 2\sqrt{58}
$$
Approximating $$\sqrt{58} \approx 7.6$$ (to the nearest tenth):
$$
d \approx 2 \times 7.6 = 15.2
$$
The distance between the points $$ (4, -6) $$ and $$ (10, 8) $$ is approximately 15.2 units.

Find the distance between the points and .
Round decimals to the nearest tenth.

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Find the distance between the points and . Round decimals to the nearest tenth.