There is no information given about point V, so any answer will do for the question asked.
If we assume the intent is to ask about the image of point Z, then its coordinates will be 0.8 times those of point Z.
Z' = 0.8×(5, -4)
Z' = (0.8×5, 0.8×(-4)) = (4, -3.2)
The appropriate choice seems to be
C (4, -3.2)
The production cost is an illustration of a quadratic function
<h3>How to determine the equation</h3>
We have the following parameters:
- Computing components (a)
- Number of devices (x),
- Labor (b)
- Savings on reusable material (c)
Using the instructions in the question, the equation of the production cost would be:
Hence, the production cost is
<h3>Change the subject of the equation</h3>
In (a), we have:
Subtract bx - c from both sides
Divide through by x^2
Hence, the equation that represents the computing component is
Read more about equations and functions at:
brainly.com/question/1214333
Answer:
Step-by-step explanation:
The distance formula tells you the distance d between the points (0, 0, 0) and (-3, -b, c) is ...
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²) = √((-3-0)² +(-b-0)² +(c-0)²)
= √(9 +b² +c²)
Answer: 80
Step-by-step explanation:
Hope it helps <3
Answer:
4851 ways
Step-by-step explanation:
The fish have 3 choices. They can make it above, below, or though the pipe. Keep in mind there are 100 fish total:
group 1 + group 2 + group 3 = 100
If we keep group 3 (the fish that swim below the pipe) constant, say 1, and increment the other two (group 2 starting off at 1) we find 98 possibilities.
98 + 1 + 1 = 100,
97 + 2 + 1 = 100,
96 + 3 + 1 = 100
. . . 98 possibilities
Now we take group 1 as one greater (1 + 1 = 2) and then start incrementing group 2 starting from 1 as done before. So 97 + 2 + 1 = 100. Followed by 96 + 3 + 1, 95 + 4 + 1...97 possibilities
If we continue this pattern, we have 98 + 97 + 96... + 1 total possibilities to partition this school of fish.
98 + 97 + 96... + 1,
Sum = n(n + 1)/2 = 98(98 + 1)/2 = 98(99)/2 = 4851
