Answer:
slope=1
Step-by-step explanation:
Formula for slope is m =
y2 - y1
/x2 - x1
you will then use 7-8/4-5
Then -1/-1 which will simplify to 1
Hope it helpssssss best of luckkkkk
Answer:
x = 5
Step-by-step explanation:
For better explanation of the solution, see the attached diagram of the problem :
The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.
Now, from the diagram : AD is the angle bisector angle B

On Cross multiplication :
⇒ 9 × 3x = 15 × (2x - 1)
Using the distributive property,
⇒ 27x = 15×2x - 15×1
⇒ 27x = 30x - 15
Subtract 30x from each side:
⇒ 27x - 30x = 30x - 15 - 30x
⇒ -3x = -15
⇒ x = 5
Summary of information:
total output = 3600 units per year
split into 18 equal orders
cost per order = $40
cost to store a unit for one year = $20
lead time (i.e. storage before shipping) = 5 days
Solution:
quantity split into 18 orders, so 3600/18= 200 units per order.
Order cost = $40 * 18 orders = $720 ..........................(A)
Storage cost:
Each order has 200 units, stored for 5 days = 200*5=1000 unit-days
storage needed for 18 orders = 1000*18 = 18000 unit-days = 50 unit-years
Total storage cost = 50 unit-years * $20 / unit year = $1000...........(B)
Total ordering cost = (A) + (B) = $720+$1000 = $1720