The other factor would be 9x
4.5 mph (aka 4 and 1/2 mph)
Answer:
120°
Step-by-step explanation:
since 60° and x are alternate interior
you get this equation
60° + x = 180
subtract 60 from both sides
x = 120
The decimal for this fraction is 5.5
The tangent to
at the point (0, 5) has a slope equal to the derivative evaluated at
.
![y=x^4+5e^x\implies y'=4x^3+5e^x\implies y'(0)=5](https://tex.z-dn.net/?f=y%3Dx%5E4%2B5e%5Ex%5Cimplies%20y%27%3D4x%5E3%2B5e%5Ex%5Cimplies%20y%27%280%29%3D5)
This tangent passes through the point (0, 5), so its equation is
![y-5=5(x-0)\implies y=5x+5](https://tex.z-dn.net/?f=y-5%3D5%28x-0%29%5Cimplies%20y%3D5x%2B5)
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
![y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5](https://tex.z-dn.net/?f=y-5%3D-%5Cdfrac15%28x-0%29%5Cimplies%20y%3D5-%5Cdfrac%20x5)