ANSWER
EXPLANATION
We want to find the absolute value function for the line in blue.
The general form of an absolute value function is:
where (h, k) = vertex
From the line, the vertex of the graph in blue is:
To find a, we have to pick a point (x, y) on the line and input it into the general function.
Let us pick (2, 1).
Therefore, we have:
Therefore, the absolute value function is:
Answer: These Lines are <em>Parallel</em>
Step-by-step explanation: For two lines to be parallel, they must have the same slope with different y-intercepts. Both of the lines above have a slope of 3 and differing y-intercepts of 4 and -5. Therefore, these lines must be parallel to one another.
1600<2570-125.5x<2000 subtract 2570 from all terms...
-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)
7.73>x>4.54 and x is months since January, and since months can only be integers...
x=[5,7]
So January + 5, 6, and 7 respectively are the three months that satisfy the equation...
June, July, and August.
If the ratio is 4:3 divide the larger can by 4 which in a) is 25 then multiply by 3 to get surface area of smaller can which would be 75 square inches.
In part b) do the same so 150 divided by 4 is 37.5 multiplied by 3 is 112.5 cubic inches.
It doesn't matter if it is surface area or volume you still use the same ratio of 4:3
