The distance between two points (x1, y1) and (x2, y2) in a plane is given by the formula:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the points are A(-1, 3) and B(4, -9). So, x1 = -1, y1 = 3, x2 = 4, and y2 = -9.

Substitute these values into the formula:

d = sqrt[(4 - (-1))² + (-9 - 3)²]
d = sqrt[(5)² + (-12)²]
d = sqrt[25 + 144]
d = sqrt[169]

So, the distance d is 13.

Therefore, the correct answer is b. 13.

Question

The distance between two points (x1, y1) and (x2, y2) in a plane is given by the formula:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the points are A(-1, 3) and B(4, -9). So, x1 = -1, y1 = 3, x2 = 4, and y2 = -9.

Substitute these values into the formula:

d = sqrt[(4 - (-1))² + (-9 - 3)²]
d = sqrt[(5)² + (-12)²]
d = sqrt[25 + 144]
d = sqrt[169]

So, the distance d is 13.

Therefore, the correct answer is b. 13.

Knowee AI · Accepted Answer

The distance between two points (x1, y1) and (x2, y2) in a plane is given by the formula:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the points are A(-1, 3) and B(4, -9). So, x1 = -1, y1 = 3, x2 = 4, and y2 = -9.

Substitute these values into the formula:

d = sqrt[(4 - (-1))² + (-9 - 3)²]
d = sqrt[(5)² + (-12)²]
d = sqrt[25 + 144]
d = sqrt[169]

So, the distance d is 13.

Therefore, the correct answer is b. 13.

The distance between the points A( -1, 3 ) and ( 4, -9 ) isa.10b.13c.12d.9