Question

find the values of x, if the distance between the points A(0,0) and B(x,-4) is 5 units.

Answer 1

Answer:

3

Step-by-step explanation:

The formula used to find the distance between two points is

$d =  \sqrt{(x2-x1)^{2}+(y2-y1)^{2}  } Where,d = distance = 5\\(x1, y1) = First set of points, i.e A= (0,0)\\(x2, y2) = Second set of points i.e B= (x,-4)d =  \sqrt{(x2-x1)^{2}+(y2-y1)^{2}  } \\ 5 = \sqrt{(x-0)^{2}+(-4-0)^{2}  } \\\\5 = \sqrt{(x)^{2}+(-4)^{2}  }\\\\Squaring both sides\\\\25 = x^{2} + 16\\\\25-16 = x^{2}\\\\9 = x^{2}\\\\x = 3$

Answer 2

Answer: 3

Step-by-step explanation:

In attachment

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