Answer:
-385
Step-by-step explanation:
Perhaps you want the sum of 10 terms of the arithmetic sequence ...
-16, -21, -26, ..., -61
The sum of any arithmetic sequence is the average term multiplied by the number of terms. The average term is the average of the first and last terms. Here, that is ...
((-16-61)/2)(10) = -385
Answer: Hello there!
if we define the y-axis as north and the x-axis as east, then we could use vectors (x,y) to represent the locations, where the (0,0) point is the visitors center.
The waterfall is in 6 miles east and 3 miles north of the (0,0), then we could represent it as (6,3)
the picnic site is 1 mile east and 2 miles north of the (0,0) then we could represent it as (1,2)
now we want to calculate the distance between these two points, first, we need to calculate the difference; this is:
(6,3) -(1,2) = (6 -1, 3-2) = (5,1)
if we want to calculate the total magnitude ( which is the total distance) of this vector, we need to use the Pythagorean theorem, where we considere the values of x and y as the cathetus of a triangle rectangle, and we want to obtain the hipotenuse of such triangle:
that we could round up to 5.1 miles, then the correct answer is the d.