Question

A is a point on the x-axis and B is (-7,9). Distance between the points A and B
is 15 units. Find the coordinates of point A.​

Answer 1

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Answer 2

The coordinates of point A (-19, 0) (5,0).

Step-by-step explanation:

$\ Given \ value: \\\\\ coordinate \ B = (-7, 9)\\\\\ Distance = 15 \ unit\\\\ \ Solution:\\\\\ Let \ x \ be \ axis \ A \\\\\ then , A = (x, 0) \\\\\ Finding \ distance \ between \ AB: \\\\\ A = (x, 0) \ and \ B = (-7, 9) \\\\\text{Distance = D} \\\\ \ formula: \\\\ D = \sqrt{(Y_2 - Y_1)^2 + (X_2 - X_1)^2}\\\\15= \sqrt{(0-9)^2 + (x+7)^2}\\\\15= \sqrt{81 + (x + 7)^2}\\\\\ square \ the \ above \ equation:\\\\\rightarrow (15)^2= (\sqrt{81 + (x + 7)^2})^2$

$\rightarrow 225= (81 + (x + 7)^2)\\\\\rightarrow 225= (81 + (x)^2 + (7)^2+14x)\\\\\rightarrow 225= (81 + x^2 +49+14x)\\\\\rightarrow 225= 130 + x^2+14x\\\\\rightarrow x^2+14x+ 130-225= 0\\\\ \rightarrow x^2+14x-95= 0\\\\\rightarrow x^2+14x-95= 0\\\\\rightarrow x^2+19x-5x-95= 0\\\\\rightarrow x(x+19)-5(x+19)= 0\\\\\rightarrow (x+19)(x-5)=0$

$\rightarrow x+19=0 \ \ \ and \ \ \ x-5=0\\\\\rightarrow x=-19 \ \ \ and \ \ \ x=5$

coordinates of point A (-19, 0) (5,0).

Learn more:

• Coordinates of point A: https://brainly.in/question/15414669