Question

If the distance between the points (x, 0) and (-7,0)
be 10 units, then the possible values of x are
(A) 3 and -17 (B) -3 and -17
(c) 3 and 17
(0) -3 and 17​

Answer 1

Answer:

choice a is the write answer

3 and -17

Answer 2

The correct option is A.

Step-by-step explanation:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

It is given that the distance between the points (x, 0) and (-7,0) is 10 units.

$10=\sqrt{(-7-x)^2+(0-0)^2}$

$10=\sqrt{(-7-x)^2}$

Taking square on both sides.

$100=(-7-x)^2$

Taking square root on both sides.

$\pm 10=-7-x$

Case 1:

$10=-7-x$

$x=-7-10$

$x=-17$

Case 2:

$-10=-7-x$

$x=-7+10$

$x=3$

The value of x is either -17 or 3. Therefore, the correct option is A.

#Learn more

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