133k views
1 vote
Calculate the distance between the points G= (-9, 9) and C=(-3,4) in the coordinate plane. Give an exact answer (not a decimal approximation) Distance :

Calculate the distance between the points G= (-9, 9) and C=(-3,4) in the coordinate-example-1
User Faranjit
by
8.8k points

1 Answer

6 votes

Answer:

√61

Explanation:

To calculate the distance between the points G(-9, 9) and C(-3, 4) in the coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:

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

Here, (x1, y1) represents the coordinates of point G, and (x2, y2) represents the coordinates of point C.

Let's substitute the given values into the formula:

Distance = √((-3 - (-9))^2 + (4 - 9)^2)

= √(6^2 + (-5)^2)

= √(36 + 25)

= √61

So, the exact distance between points G and C is √61.

User Yakimych
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories