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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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Respuesta :

tramserran

Answer: [tex]\bold{\sqrt{17}}[/tex]

Step-by-step explanation:

[tex]\text{Use the distance formula: }d_{AB}=\sqrt{(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}=\sqrt{[-3-(-2)]^2+(3-7)^2}\\\\.\quad =\sqrt{(-1)^2+{(-4)}^2}\\\\.\quad =\sqrt{1+16}\\\\.\quad =\boxed{\sqrt{17}}[/tex]

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