Write an equation to match each graph.
Solution:
The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,
y=|x|
The second graph is V shaped graph centered at (1,0) and y=|x| is horizontally shifted right by 1 unit. So, the equation of second graph is,
y=|x-1|
The third graph is also V shaped but, it is inverted V graph centered at (0,1) . As, the graph is inverted V So, the graph must have y=-|x|. But, as the center is (0,1). So, the graph is shifted up by 1 unit. So, the equation of the third graph is,
y=-|x|+1
The fourth graph is shifted V graph, whose center is (1,-1). So, y=|x| is shifted right by 1 unit and down by 1 unit. So, the equation of fourth graph is,
y=|x-1|-1
The center of fifth graph is (-1,0), So, y=|x| graph is shifted left by 1 unit. So, the equation of fifth graph is
y=|x+1|
Answer: 8
Step-by-step explanation: 8/3 x 3/1 = 8
Answer:
76.46m
Step-by-step explanation:
Using what we know we can solve for the length of the support wire using Pythagoras.
Height of tower = 75m
Support wire 20 m from top
Angle formed (α) = 46°
Using Pythagoras :
Sinα = opposite / hypotenus
Height used = height of tower - 20 m from top
Height = opposite = (75 - 20)m = 55m
Hypotenus = Length of support wire
Sin 46 = 55m / hypotenus
Hypotenus * sin 46 = 55
0.71934 * hypotenus = 55
Hypotenus = 55/0.71934
Hypotenus = 76.458976
Hence, Lenght of support wire = 76.46 m