Find the distance between the two points in simplest radical form.left bracket, 8, comma, minus, 4, right bracket, and , left bracket, 3, comma, 8, right bracket(8,−4) and (3,8)
Question
Find the distance between the two points in simplest radical form.left bracket, 8, comma, minus, 4, right bracket, and , left bracket, 3, comma, 8, right bracket(8,−4) and (3,8)
Solution
To find the distance between two points in a plane, we can use the distance formula which is derived from the Pythagorean theorem. The distance formula is:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Here, the two points are (8, -4) and (3, 8). So, x1 = 8, y1 = -4, x2 = 3, and y2 = 8.
Substitute these values into the distance formula:
d = sqrt[(3 - 8)^2 + (8 - (-4))^2] d = sqrt[(-5)^2 + 12^2] d = sqrt[25 + 144] d = sqrt[169]
The square root of 169 is 13, so the distance between the two points is 13 units.
Similar Questions
Find the distance between the two points in simplest radical form.left bracket, 2, comma, 6, right bracket, and , left bracket, 7, comma, minus, 6, right bracket(2,6) and (7,−6)
Find the distance between the two points in simplest radical form.left bracket, minus, 9, comma, 9, right bracket, and , left bracket, 0, comma, minus, 3, right bracket(−9,9) and (0,−3)
Find the distance between the two points in simplest radical form.left bracket, 5, comma, 2, right bracket, and , left bracket, minus, 3, comma, minus, 5, right bracket(5,2) and (−3,−5)
Find the distance between the two points in simplest radical form.12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10xy12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10xyAnswer
Find the distance between the pair of points. Upper E left parenthesis 8 comma negative 3 right parenthesis, Upper F left parenthesis negative 1 comma 9 right parenthesis
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.