Which ordered pairs are solutions to the inequality −2x+y≥−4 ?
1 answer:
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9.74 or 9 37/50
Hope that helped
Hope that helped
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:
The area of rhombus = 24
Step-by-step explanation:
The area of rhombus = base times height
For the given rhombus :
Height = The length of DP
Base = the length of any side of the rhombus as AB
The length ot two point (x₁ , y₁) and (x₂ , y₂) =
From the given figure:
D = (-5,-2) , P = (-3.8 , 1.6) , A = (1,0) , B = (7 , -2)
DP = = √14.4
AB = = √40
So,
<u>The area of rhombus = √14.4 * √40 = √576 = 24</u>