QuestionAugust 25, 2025

Find the distance between the pair of points. N(-4,-11),P(-4,-3) d=square (Simplify your answer. Type an exact answer, using radicals as needed.)

Find the distance between the pair of points. N(-4,-11),P(-4,-3) d=square (Simplify your answer. Type an exact answer, using radicals as needed.)
Find the distance between the pair of points. N(-4,-11),P(-4,-3) d=square (Simplify your answer. Type an exact answer, using radicals as needed.)

Solution
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Answer

8 Explanation 1. Identify the coordinates N(-4, -11) and P(-4, -3) are given. 2. Apply the distance formula Use **d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}**. Here, x_1 = -4, y_1 = -11, x_2 = -4, y_2 = -3. 3. Calculate differences (x_2 - x_1) = (-4) - (-4) = 0; (y_2 - y_1) = (-3) - (-11) = 8. 4. Compute the distance d = \sqrt{0^2 + 8^2} = \sqrt{64} = 8.

Explanation

1. Identify the coordinates<br /> $N(-4, -11)$ and $P(-4, -3)$ are given.<br />2. Apply the distance formula<br /> Use **$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$**. Here, $x_1 = -4$, $y_1 = -11$, $x_2 = -4$, $y_2 = -3$.<br />3. Calculate differences<br /> $(x_2 - x_1) = (-4) - (-4) = 0$; $(y_2 - y_1) = (-3) - (-11) = 8$.<br />4. Compute the distance<br /> $d = \sqrt{0^2 + 8^2} = \sqrt{64} = 8$.
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