Question

What is the distance between the following points?The answer choices areA- 9B- 10C- square root of 21D- square root of 58

Answer 1

Answer:
`distance\text{ = square root of 58 \lparen option D\rparen}`

Step-by-step explanation:

Given:

Points: (3, -9) and (6, -2) on a coordinate plane

To find:

The distance between the two points

To determine the distance between the points, we will apply the formula:

`$$dis\tan ce\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}$$`
`\begin{gathered} x_1=3,y_1=-9,x_2=6,y_2\text{ = -2} \\ dis\tan ce\text{ = }√((-2-(-9))^2+(6-3)^2) \\ dis\tan ce\text{ = }√((-2+9)^2+(6-3)^2) \\ dis\tan ce\text{ = }√((7)^2+(3)^2) \end{gathered}`
`\begin{gathered} distance\text{ = }\sqrt{49\text{ + 9}} \\ distance\text{ = }√(58) \end{gathered}`