Question

Find the distance between (2, 3) and (−4, −9) . Round your answer to the nearest hundredth, if necessary.(1 point) units

Answer 1

[AI-generated answer — Bot GPT 3.5]

Using the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

distance = √((-4 - 2)^2 + (-9 - 3)^2)
distance = √((-6)^2 + (-12)^2)
distance = √(36 + 144)
distance = √180
distance ≈ 13.42 (rounded to the nearest hundredth)

Therefore, the distance between (2, 3) and (-4, -9) is approximately 13.42 units.

Answer 2

Find the distance between (−8, −3) and (−2, −5) . Round your answer to the nearest hundredth, if necessary.(1 point) units

Answer 3

[AI-generated answer — Bot GPT 3.5]

Using the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

distance = √((-2 - (-8))^2 + (-5 - (-3))^2)
distance = √((6)^2 + (-2)^2)
distance = √(36 + 4)
distance = √40
distance ≈ 6.32 (rounded to the nearest hundredth)

Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.32 units.

Answer 4

[AI-generated answer — Explain Bot]

To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and can be expressed as:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points, and d represents the distance.

In this case, the coordinates of the first point are (2, 3), and the coordinates of the second point are (-4, -9). Plugging these values into the distance formula, we get:

d = √((-4 - 2)² + (-9 - 3)²)
= √((-6)² + (-12)²)
= √(36 + 144)
= √180
≈ 13.42

So, the distance between (2, 3) and (-4, -9) is approximately 13.42 units, rounded to the nearest hundredth.