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QuestionCalculate the distance between points B(2,-3) and C(9,0) using the formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

Studdy Solution

STEP 1

Assumptions1. The coordinates of point B are (,-3) . The coordinates of point C are (9,0)
3. We use the Euclidean distance formula to calculate the distance between two points in a plane

STEP 2

The Euclidean distance between two points (x1, y1) and (x2, y2) in a plane is given by the formulaDistance=(x2−x1)2+(y2−y1)2Distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

STEP 3

Now, plug in the given values for the coordinates of points B and C into the formula.
Distance=(9−2)2+(0−(−3))2Distance = \sqrt{(9 -2)^2 + (0 - (-3))^2}

STEP 4

implify the expression inside the square root.
Distance=(7)2+(3)2Distance = \sqrt{(7)^2 + (3)^2}

STEP 5

Square the numbers inside the square root.
Distance=49+9Distance = \sqrt{49 +9}

STEP 6

Add the numbers inside the square root.
Distance=58Distance = \sqrt{58}The distance between the points B(2,-3) and C(9,0) is 58\sqrt{58} units.

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