Question

2

Find the distance between the two points. Write your answer as a decimal
rounded to the hundredths place if needed.
(1, -3) and (-6, -7)
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Hint: To add the square root symbol (√), type "root"
Enter your answer

Answer 1

The distance between the points (1, -3) and (-6, -7) is found using the distance formula and is approximately 8.06 when rounded to the hundredths place.

Step-by-step explanation:

To find the distance between the two points (1, -3) and (-6, -7), we can use the distance formula, which is derived from the Pythagorean theorem: Distance = √((x2 - x1)² + (y2 - y1)²). Here, (x1, y1) is the first point and (x2, y2) is the second point. Let's substitute the values:

Distance = √((-6 - 1)² + (-7 - (-3))²)

= √((-7)² + (-4)²)

= √(49 + 16)

= √65

≈ 8.06.

Therefore, the distance between the points (1, -3) and (-6, -7), rounded to the hundredths place, is approximately 8.06.