ANSWER :
D. f(x) = -|x - 4|
EXPLANATION :
The general equation of an absolute value function is :
where the sign of a indicates the opening of the graph.
If it is positive, the graph opens upward
If it is negative, the graph opens downward
and the vertex is at (h, k)
From the options, the value of a is all equal to 1.
The graph opens downward, so the sign is negative
and the vertex is at (4, 0)
That will be :
Answer:
Side of the square paper = 21 inches
Step-by-step explanation:
Let the square paper is having measure of each side = a inches
Esther cut this square piece into two pieces.
Let the other side of one rectangle piece = x inches
Perimeter of this piece = 2(a + x) inches
Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches
Perimeter of this piece = 2[a + (a - x)]
Since both the rectangular pieces have the same perimeter = 63
So, 2(a + x) = 2[a + (a - x)] = 63
2(a + x) = 2(2x - x)
a + x = 2a - x
2a - a = 2x
a = 2x
x =
Therefore, Perimeter = 2(a + x) = 2(a + ) = 63
= 63
3a = 63
a = 21
Therefore, measure of the sides of the square is 21 inches.
