Answer:
d=20
Step-by-step explanation:
To find the distance between 2 points we use the distance formula
d = √(x2 - x1)²+(y2 - y1)²
The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).
Substitute the given points into the distance formula.
d = √(4 + 8)²+(10 +6)²
d = √144+252
d= √400
d = 20
Answer:
Step-by-step explanation:
Find the last term of the sequence.
a1 = 8
d = -7
n = 30
a30 = 8 + (n - 1)*(-7)
a30 = 8 + (30 - 1)*-7
a30 = 8 + 29*-7
a30 = 8 - 203
a30 = -195
Sum = (a + L)*n/2
Sum = (8 + -195) * 30/2
Sum = - 187 * 15
Sum = - 2805
Answer: 50 cases per minute
Step-by-step explanation:
1. Select one of the points on the graph. Let's use (2, 100) in this case.
2. Divide the number of cases (y) by the amount of minutes (x) This means the equation would be 100 ÷ 2.
3. Since 100 cases ÷ 2 minutes = 50 cases per minute, that means that is unit rate, which can be expressed by y = 50x or f(x) = 50x.
Answer/Step-by-step explanation:
Part A:
![Key:\left[1 Adult = 4 Student]](https://tex.z-dn.net/?f=Key%3A%5Cleft%5B1%20Adult%20%3D%204%20Student%5D)

<u> 12 Student = 3 Adult</u>
<u>24 Student = 6 Adult</u>
<u>40 Student = 10 Adult</u>
Part B:
33 Student
Hence, divide 33 by 4 = 8 with a remainder of 1.
Therefore, 8 Adult and for the remainder 1 student either one Adult takes 5 Student or Needed 9 Adult.