Good afternoon,
First side= 8cm
Third side= x
Second side= 2x-4
We know that the sume of the lenghts of any two sides must be greater than the third side, so:

<span>
Answer: Third side= x ; where: x>4 or (4,+infinity) Second side= 2x-4 ; </span><span>
where: x>4 or (4,+infinity)</span>
We are given:
the center of the rink at the origin.
A skating path (Susan): y = 6x - x^2 - 5
Starting point of Luke = (10, -21)
Path (Luke) = quadratic eq'n with vertex at (8, -9)
Radius = 35 meters
The solution that best interprets the path of the skaters is to substitute Luke's starting point to Susan's path or set-up a quadratic equation with vertex of (8,-9) and then equate to Susan's path to solve for their intersection.
43 as you substitute 6 in place of x, and then get 36+6+1=43
Answer:
Her actual distance for the trip will be 112.5 miles.
Step-by-step explanation:
You need to analize the information provided in the exercise.
You know that the scale of the map Kelsey is reading is:

And according to the exercise, Kelsey's trip measures 4.5 inches on that map.
Therefore, in order to calculate what will be her actual distance for the trip (Let be
this distance), you can set up the following proportion:

Finally, you must solve for
. Then, you get:

Therefore, her actual distance for the trip will be 112.5 miles