Question

distance between (15, - 17) and (-20,-5)

in units

Answer 1

Answer:

$\boxed {d = 37}$

Step-by-step explanation:

-Use the Distance Formula to help you determine the distance between the two given points:

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

First Point: $(x_{1}, y_{1})$

Second Point: $(x_{2}, y_{2})$

-Apply the two given points onto the formula:

$d = \sqrt{(-20 - 15)^{2} + (-5 + 17)^{2}}$

$(x_{1}, y_{1}) = (15, -17)$

$(x_{2}, y_{2}) = (-20, -5)$

-Solve for the distance:

$d = \sqrt{(-20 - 15)^{2} + (-5 + 17)^{2}}$

$d = \sqrt{(-35)^{2} + (12)^{2}}$

$d = \sqrt{1225 + 144}$

$d = \sqrt{1369}$

$\boxed {d = 37}$

Therefore, the distance is $37$.