Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
Eliminate p terms
times 2nd equation by -1
q-2p=-5
add to 2nd equation
q-2p=-5
<u>7q+2p=29 +</u>
8q+0p=24
8q=24
divide both sides by 8
q=3
sub back
2p-q=5
2p-3=5
add 3
2p=8
divide by 2
p=4
p=4
q=3
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
Answer:

Step-by-step explanation:
Point slope form:

<em>Note: </em>
- <em>m represents the slope</em>
- <em>(x1,y1) represents the coordinate point</em>
Our answer would be 