The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444
Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
The answer to your question is 1.70
The number of hours Jeremiah ironed = 10 hours
The number of hours Tristan ironed = 7 hours
<u>Step-by-step explanation</u>:
- Jeremiah can iron = 35 shirts per hour
- Tristan can iron = 20 shirts per hour
- Total work done by both = 490 shirts
Let 'x' be the number of hours Jeremiah ironed.
Let 'y' be the number of hours Tristan ironed.
x+y = 17 ------(1)
35x + 20y = 490 -------(2)
Multiply (1) by 20 and subtract (2) from (1),
20x + 20y = 340
-(<u>35x + 20y = 490</u>)
<u>-15x = -150 </u>
x = 150/15
x = 10
Substitute x=10 in (1)
10+y = 17
y = 7
Let's go:
The centroid of a triangle is the point of intersection of its medians. The distance from de centroid to some vertex of triangle to which it belongs is equal to 2/3 of the length of its median:
BM = 18/3 = 6
I hope I helped you.
6x + 2 + 4 + 6 + 8 + 10 = 126
6x + 30 = 126
6x = 96
x = 16
Numbers are {16,18,20,*22*,24,26)
Correct answer is 22.
