Question

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

Answer 1

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).

Answer 2

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

How to determine the length of the line segment?

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

Read more about distance at

brainly.com/question/7243416

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