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:
L = 18 and w = 16
Step-by-step explanation:
The area of a rectangle is found by A = l*w. Since the length here is 2 more than the width or 2 + w and the width is w, substitute these values and A = 288 to solve for w.
To solve for w, move 288 to the other side by subtraction. Then factor and solve.
Set each factor equal to 0 and solve.
w - 16 = 0 so w = 16
w + 18 = 0 so w = -18
Since w is a side length and length/distance cannot be negative, then w = 16 is the width of the rectangle.
This means the length is 16 + 2 = 18.