Question

find the value of x by using distance formula this equation as (-6,x),(-4,-9)​

Answer 1

Step-by-step explanation:

Given

A (-6,x)

B(-4,-9)

By using distance formula

$AB = \sqrt{ ({x_{1} - x_{2} )}^{2} + ({y_{1} - y_{2} )}^{2} }$

$AB = \sqrt{ ({ - 6 + 4 )}^{2} + ({x + 9 )}^{2} }$

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

$AB = \sqrt{ 4 + {x}^{2} + 81 + 18x }$

$AB = \sqrt{ 85+ {x}^{2} + 18x }$

$AB = \sqrt{ 5 \times 17 + x \times x + 2 \times 3 \times 3 \times x }$

$AB = 3x\sqrt{5 \times 17 + 2 + x }$