Question

What is the distance between point A (-3, 3) and Point B (-2, 7)?

Fill in the correct value into the distance formula. √[( - )2 +( - )2]

Simplyfy inside the squared terms. √[( )2+( )2]

Square each term inside the square root. √( + )

Combine like terms inside square root √( )

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Answer 1

Answer:
`\bold{√(17)}`

Explanation:

`\text{Use the distance formula: }d_(AB)=√((x_A-x_B)^2+(y_A-y_B)^2)\\where\ (x_A, y_A)=(-3, 3)\\and\ (x_B, y_B)=(-2, 7)\\\\\\d_(AB)=√([-3-(-2)]^2+(3-7)^2)\\\\.\quad =\sqrt{(-1)^2+{(-4)}^2}\\\\.\quad =√(1+16)\\\\.\quad =\boxed{√(17)}`