Determine the length of the line segment shown. line segment from negative 10 comma 9 to 5 comma negative 1 4 units 18 units 19

Question

NNADVOKAT [17]

6 months ago

8

Determine the length of the line segment shown. line segment from negative 10 comma 9 to 5 comma negative 1 4 units 18 units 19

units 21 units

Mathematics

2 answers:

serg [7] · Answer 1 · 2024-04-18T14:00:24+03:00

serg [7]6 months ago

8 0

Answer:

18 units

Step-by-step explanation:

$\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}$

Given endpoints of the line segment:

(-10, 9)
(5, -1)

To determine the length of the line segment, substitute the given endpoints into the distance formula:

$\begin{aligned}\implies d&=\sqrt{(5-(-10))^2+(-1-9)^2}\\&=\sqrt{(15)^2+(-10)^2}\\&=\sqrt{225+100}\\&=\sqrt{325}\\&=18.02775638...\end{aligned}$

Therefore, the length of the line segment is 18 units (nearest integer).

user100 [1] · Answer 2 · 2024-04-18T12:14:48+03:00

The length of the line segment is (b) 18 units

<h3>How to determine the length of the line segment?</h3>

The line segment is given as

ine segment from negative 10 comma 9 to 5 comma negative 1

This can be rewritten as

line segment from (-10, 9) to (5, -1)

The length of the line segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (-10, 9) to (5, -1)

Substitute the known values in the above equation, so, we have the following representation

Length = √[(-10 - 5)² + (9 + 1)²]

Evaluate

Length = 18

Hence, the length is 18 units