To find the distance between two points in a plane, we can use the distance formula derived from the Pythagorean theorem, which is:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the two points are (0, 4) and (4, 7). So, x1 = 0, y1 = 4, x2 = 4, and y2 = 7.

Substitute these values into the formula:

d = sqrt[(4 - 0)² + (7 - 4)²]
d = sqrt[(4)² + (3)²]
d = sqrt[16 + 9]
d = sqrt[25]
d = 5

So, the distance between the points (0, 4) and (4, 7) is 5 units.

Question

To find the distance between two points in a plane, we can use the distance formula derived from the Pythagorean theorem, which is:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the two points are (0, 4) and (4, 7). So, x1 = 0, y1 = 4, x2 = 4, and y2 = 7.

Substitute these values into the formula:

d = sqrt[(4 - 0)² + (7 - 4)²]
d = sqrt[(4)² + (3)²]
d = sqrt[16 + 9]
d = sqrt[25]
d = 5

So, the distance between the points (0, 4) and (4, 7) is 5 units.

Knowee AI · Accepted Answer

To find the distance between two points in a plane, we can use the distance formula derived from the Pythagorean theorem, which is:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the two points are (0, 4) and (4, 7). So, x1 = 0, y1 = 4, x2 = 4, and y2 = 7.

Substitute these values into the formula:

d = sqrt[(4 - 0)² + (7 - 4)²]
d = sqrt[(4)² + (3)²]
d = sqrt[16 + 9]
d = sqrt[25]
d = 5

So, the distance between the points (0, 4) and (4, 7) is 5 units.

Find the distance between the points (0, 4) and (4, 7). Type your answer in Blank 1