The correct answer is 18.4. We can use the distance formula to solve this problem.
(x - x)² + (y - y)² = d² Distance formula
(4 + 5)² + (-7 - 9)² = d² Substitute the given values; make sure to always subtract in the same direction (for example, if you had (1, 2) and (3, 4), if you start by subtracting 1 - 3, then subtract 2 - 4 again, not 4 - 2); also remember that when you subtract a negative, you add
9² - 16² = d² Add; remember that when you subtract a positive from a negative, the answer is negative (-7 - 9 = -16), but this doesn't really matter since we're about to square it anyway
81 + 256 = d² Square both numbers; you can use a calculator for this, if you want
337 + d² Add
d = √337 Take the square root of both sides to cancel out the exponent
So, the distance is √337. You can use a calculator to get the estimated answer, which is about 18.4
Hope this helps!