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Given the coordinates of two points in the plane you can use either the distance formula or the Pythagorean theorem to find the distance between them.?

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Distance between 8 -13 and 1 -7 Midpoint between 8 -13 and 1 -7?

For the distance, use the Pythagorean formula. For the midpoint, take the average of the x-coordinates, and the average of the y-coordinates.


How can one determine the distance between two points on a graph using the keyword "how to find distance on a graph"?

To determine the distance between two points on a graph, you can use the distance formula, which is derived from the Pythagorean theorem. This formula calculates the distance as the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of the two points. By plugging in the coordinates of the two points into the formula, you can find the distance between them on the graph.


What is the difference in the distance formula and the Pythagorean theorem?

The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.


Given the coordinates of two points in the plane you can use either the Distance Formula or the Pythagorean Theorem?

Answer: True


Is this true or false the distance formula is equivalent to the Pythagorean theorm if your trying to find the distance between a point in the plane and the origin?

True. The distance formula, which is derived from the Pythagorean theorem, calculates the distance between two points in a plane. When finding the distance between a point ((x, y)) and the origin ((0, 0)), the formula simplifies to (d = \sqrt{x^2 + y^2}), which directly corresponds to the Pythagorean theorem. Thus, in this specific case, the distance formula is indeed equivalent to the Pythagorean theorem.


If you know Pythagorean's therem can you always find the distance of two points?

Yes, if you know the Pythagorean theorem, you can find the distance between two points in a Cartesian coordinate system. By using the formula (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points, you can apply the theorem to determine the distance as the hypotenuse of a right triangle formed by the differences in the x and y coordinates.


How do you Use Coordinates to find length of Sides?

To find the length of a side between two points using coordinates, apply the distance formula, which is derived from the Pythagorean theorem. If the points are (A(x_1, y_1)) and (B(x_2, y_2)), the length of the side (AB) is calculated as (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}). This formula computes the straight-line distance between the two points in a Cartesian plane. By substituting the coordinates of the points into the formula, you can easily determine the length of the side.


The Pythagorean Theorem is similar to?

the slope formula and the distance formula.


Is The Distance Formula is derived from the Pythagorean Theorem?

No.


The pythagorean theorem can be developed from what?

distance formula!


How can distances and midpoints be found on the coordinate plane when you can't easily count blocks?

If you have the coordinates, you can do calculations. You can get the distance with the Pythagorean formula; the x-point of the midpoint is the average of both x-coordinates, similar for the y-point.