Vectors give us direction and distance. the first part of our ordered pair moves us in the x direction (left and right), and the second member of the ordered pair moves us in the y direction (up and down)
if you plotted each point along the move, you would go from (7,17) and move -1 in the x direction and 0 in the y, ending up at (6,17). From there, we move 2 in the x direction and 7 in the y, to (8,24).
basically we just add all of the x's together and the y's together since we are moving in a specific direction from a point to a new point.
so
x=7+-1+2+2=10
y=17+0+7+10=34
and we end up at (10,34)
You can use cross-products to solve this problem. For instance, this expression would be written as 5(8)= 7(-x), or 40= -7x. What you'd do then is simplify the expression by dividing both sides of the equation by the coefficient of x, such that you'd isolate x and have the value of x.
Answer:
z = 188
Step-by-step explanation:
1. 10/13 = 8 - 2z/52 (simplify - 2z/52)
10/13 = 8 (- 1/26)*z
2. 10/13 = (- 1/26)*z + 8 (flip for ease in solving)
(- 1/26)*z + 8 = 10/13
3. (- 1/26)*z + 8 = 10/13 (inverse: subtract 8 from each side to isolate variable <em>z</em>)
(- 1/26)*z = 10/13 - (8*13)/(1*13) (common denominator needed for add/subtract)
(- 1/26)*z = - 94/13 (simplify)
4. (- 1/26)*z = - 94/13 (inverse: multiply both sides by -26/1 to isolate variable <em>z</em>)
<h2>z = 188</h2>
I divided 4 divided by 314.9 and the answer is equals 78.725 per minute
