What is the solution to the system of equations?
2 answers:
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Answer:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
Step-by-step explanation:
We are given the function f(x) = - |x| +4. We know that the function f(x) = |x| only has positive values, so when x>0 the function is a straight line as in the function f(x) = x. When x<0 the function is also positive, as in the function f(x) = -x. So the graph is V-shaped with the vertex at the origin.
The f(x) = - |x| +4 has two important caracteristics:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
So the graph of f(x) = - |x| +4 will be V-shaped, reflected in the x-axis and moved 4 units upwards.
Attached you can find the graph
Answer:
20 square units
Step-by-step explanation:
we know that
The area of rectangle is equal to
In this problem
the formula to calculate the distance between two points is equal to
<em>Find the distance WX</em>
we have
W(-3,1), X(3,3)
substitute the values in the formula
<em>Find the distance XY</em>
we have
X(3,3),Y(4,0)
substitute the values in the formula
<em>Find the area of rectangle</em>
substitute the values