The correct answer for the question that is being presented above is this one: "C) 1.6." Hank is painting his grandfather's fence. He painted 40 linear feet in 85 minutes. He still has 360 linear feet to paint. His cousins, Sam and Alex, come <span>to help. Sam paints twice as fast and Alex paints half as fast as Hank. The constant of proportionality that relates the current fence painting rate is 1.6.</span>
Answer:
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The angle next to the angle 5x is 180 - 5x
All angles sum to 360
(6x - 58) + (2x + 4) + (180 - 5x) = 180
3x + 126 = 180
3x = 54
x = 18
For question 10, sum of angles in pentagon is 540 degrees
x + 105 + 85 + 114 + 126 = 540
x + 430 = 540
x = 110
If x<0 and y>0, then the sign of the real number x-y/xy would be positive. <span>If x is negative and y is positive then x-y is negative and xy is negative. A negative number divided by another negative number would be positive. Hope this answers the question.</span>
The equation of a hyperbola is
/9 -
/4 = 1
What are the steps to Hyperbola equation ?
To find the equation of hyperbola, the following steps must be taken. You need to identify;
- The coordinate of the center
- The coordinate of the vertices
- The coordinate of the foci
The general equation of a hyperbola can be expressed as
/
-
/
= 1
From the graph, we have the following parameters
a = 3
=
= 9
b = 2
=
= 4
The equation of a hyperbola can be expressed as
/9 -
/4 = 1
The vertices = V(+/-a,0) = (+/-3,0)
The center = C(0,0)
The focus = F(+/-C, 0)
Where
=
+ 
C = 
C = 
Focus = F(+/-
, 0)
The general equation for asymptote = +/- b/a X
= +/-2/3X
Therefore, the equation of a hyperbola can be expressed as
/9 -
/4 = 1
Learn more about hyperbola here: brainly.com/question/3405939
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