I think you are right . 1 ,2 and 4.
4.7(-5.2)= - 24.44
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answer is D
Explamation:
given points are (7,9) and (12,11)
therefore the mid point is (9.5,10)
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
As you already know, to get the inverse of any expression, we start off by doing a quick switcharoo on the variables, and then solve for "y".
![\bf \stackrel{f(x)}{y}=0.5(3)^x\qquad \stackrel{inverse}{\boxed{x}=0.5(3)^{\boxed{y}}} \\\\\\ log(x)=log[0.5(3)^y]\implies log(x)=log(0.5)+log[(3)^y] \\\\\\ log(x)-log(0.5)=log[(3)^y]\implies log(x)-log(0.5)=y\cdot log(3) \\\\\\ \cfrac{log(x)-log(0.5)}{log(3)}=\stackrel{f^{-1}(x)}{y}\\\\ -------------------------------\\\\ f^{-1}(7)=\cfrac{log(7)-log(0.5)}{log(3)}\implies f^{-1}(7)\approx 2.402173502732879697](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7By%7D%3D0.5%283%29%5Ex%5Cqquad%20%5Cstackrel%7Binverse%7D%7B%5Cboxed%7Bx%7D%3D0.5%283%29%5E%7B%5Cboxed%7By%7D%7D%7D%0A%5C%5C%5C%5C%5C%5C%0Alog%28x%29%3Dlog%5B0.5%283%29%5Ey%5D%5Cimplies%20log%28x%29%3Dlog%280.5%29%2Blog%5B%283%29%5Ey%5D%0A%5C%5C%5C%5C%5C%5C%0Alog%28x%29-log%280.5%29%3Dlog%5B%283%29%5Ey%5D%5Cimplies%20log%28x%29-log%280.5%29%3Dy%5Ccdot%20%20log%283%29%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Blog%28x%29-log%280.5%29%7D%7Blog%283%29%7D%3D%5Cstackrel%7Bf%5E%7B-1%7D%28x%29%7D%7By%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Af%5E%7B-1%7D%287%29%3D%5Ccfrac%7Blog%287%29-log%280.5%29%7D%7Blog%283%29%7D%5Cimplies%20f%5E%7B-1%7D%287%29%5Capprox%202.402173502732879697)
