Question

Question
(a) A is a point on the x-axis and B is (-7, 9). Distance between the points A and B
-19,5
is 15 units. Find the coordinates of point A.

​

Answer 1

Answer:(0,0)

Step-by-step explanation:as A is a point on the x-axis therefore let A(x,0)

By formula,

AB=√(x1-x2)^2 +(y1-y2)^2

AB=√(0-(-7))^2 +(y-9)^2

AB=√(7)^2+ (y-9)^2

15-7 =( y-9)^2

Answer 2

The coordinates of A are (-5,-7) or (19,-7)

Step-by-step explanation:

Let point A(x,0) and B (-7,9).

Distance between A and B=15 units

Distance formula:$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the formula

$AB=\sqrt{(-7-x)^2+(9-0)^2}$

$15=\sqrt{(-7-x)^2+(9-0)^2}$

$(15)^2=(-7-x)^2+(9-0)^2$

$225=49+x^2-14x+81$

Using the formula

$(a+b)^2=a^2+b^2+2ab$

$x^2-14x+49+81-225=0$

$x^2-14x-95=0$

$x^2-19x+5x-95=0$

$x(x-19)+5(x-19)=0$

$(x+5)(x-19)=0$

$x+5=0$

$x=-5$

$x-19=0$

$x=19$

Hence, the coordinates of A are (-5,-7) or (19,-7).

#Learn more:

https://brainly.in/question/15414669