danachatter danachatter

17-07-2016
Mathematics

Answered

find the distance between (43, -15) & (29, -3). a. square root of 270, or 16.4 units b. square root of 340, or 18.4 units c. square root of 520, or 22.8 units d. square root of 1409, or 37.5 units

Verified Answer :

dalendrk dalendrk

17-07-2016

\(The\ distance\ between\ A(x_1;\ y_1)\ and\ B(x_2;\ y_2)\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\--------------------------\\\\(43;-15);\ (29;-3)\\\\d=\sqrt{(29-43)^2+(-3-(-15))^2}=\sqrt{(-14)^2+12^2}\\\\=\sqrt{196+144}=\boxed{\sqrt{340}}\to\fbox{b.}\)

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