Answer:
Solve for d:
Using the distance formula, solve for the distance.
d = √(a - 3)² + (b - 6)²
Using (a + b)² = a² + 2ab + b², expand:
d = √a² - 6a + 9 + b² - 12b + 36
Rearrange the terms.
d = √a² + b² - 6a - 12b + 9 + 36
Collect like terms.
[tex]d = \sqrt{ {a}^{2} + {b}^{2} - 6a - 12b + 45} [/tex]
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Answer:
Solve for d:
Using the distance formula, solve for the distance.
d = √(a - 3)² + (b - 6)²
Using (a + b)² = a² + 2ab + b², expand:
d = √a² - 6a + 9 + b² - 12b + 36
Rearrange the terms.
d = √a² + b² - 6a - 12b + 9 + 36
Collect like terms.
[tex]d = \sqrt{ {a}^{2} + {b}^{2} - 6a - 12b + 45} [/tex]