find the distance between point A(5, 3) and point B(14, 17). round your answer to the nearest tenth.
To find the distance between two points in a coordinate plane, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the x-coordinate of point A is 5, the y-coordinate of point A is 3, the x-coordinate of point B is 14, and the y-coordinate of point B is 17.
Substituting these values into the formula, we get:
Distance = √((14 - 5)^2 + (17 - 3)^2)
= √(9^2 + 14^2)
= √(81 + 196)
= √277
≈ 16.64
Therefore, the distance between point A(5, 3) and point B(14, 17) is approximately 16.64 units.
thats wrong
I apologize for the mistake. Let's redo the calculation correctly.
To find the distance between two points A(x1, y1) and B(x2, y2), we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the x-coordinate of point A is 5, the y-coordinate of point A is 3, the x-coordinate of point B is 14, and the y-coordinate of point B is 17.
Substituting these values into the formula, we get:
Distance = √((14 - 5)^2 + (17 - 3)^2)
= √(9^2 + 14^2)
= √(81 + 196)
= √277
≈ 16.65
Therefore, the distance between point A(5, 3) and point B(14, 17) is approximately 16.65 units.
thats wrong still. did you round to the nearest tenth
Apologies for the mistake. Let's redo the calculation and round to the nearest tenth.
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates:
x1 = 5, y1 = 3
x2 = 14, y2 = 17
Distance = √((14 - 5)^2 + (17 - 3)^2)
= √(9^2 + 14^2)
= √(81 + 196)
= √277
≈ 16.6
Therefore, the distance between point A(5, 3) and point B(14, 17) rounded to the nearest tenth is approximately 16.6 units.
find the distance between point M(-4, 3) and point N(9, -2). round your answer to the nearest tenth.
To find the distance between two points in a coordinate plane, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the x-coordinate of point M is -4, the y-coordinate of point M is 3, the x-coordinate of point N is 9, and the y-coordinate of point N is -2.
Substituting these values into the formula, we get:
Distance = √((9 - (-4))^2 + (-2 - 3)^2)
= √((9 + 4)^2 + (-2 - 3)^2)
= √((13)^2 + (-5)^2)
= √(169 + 25)
= √194
≈ 13.9
Therefore, the distance between point M(-4, 3) and point N(9, -2) rounded to the nearest tenth is approximately 13.9 units.
find the distance between point C(-7, 5) and point D(8, 16). round your answer to the nearest tenth.
To find the distance between two points in a coordinate plane, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the x-coordinate of point C is -7, the y-coordinate of point C is 5, the x-coordinate of point D is 8, and the y-coordinate of point D is 16.
Substituting these values into the formula, we get:
Distance = √((8 - (-7))^2 + (16 - 5)^2)
= √((8 + 7)^2 + (16 - 5)^2)
= √((15)^2 + (11)^2)
= √(225 + 121)
= √346
≈ 18.6
Therefore, the distance between point C(-7, 5) and point D(8, 16) rounded to the nearest tenth is approximately 18.6 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is as follows:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Here, (x1, y1) represents the coordinates of point A(5, 3), and (x2, y2) represents the coordinates of point B(14, 17).
Plugging the values into the formula, we get:
Distance = √((14 - 5)^2 + (17 - 3)^2)
= √(9^2 + 14^2)
= √(81 + 196)
= √277
≈ 16.64
Therefore, rounding the answer to the nearest tenth, the distance between point A(5, 3) and point B(14, 17) is approximately 16.6 units.