Answer:
unclear man, u cant add them together sorry
Step-by-step explanation:
Step-by-step explanation:
This seems to be calculus 1.
<u>Question a</u>
We have ![-2x^3 + 5x^2 + 9](https://tex.z-dn.net/?f=-2x%5E3%20%2B%205x%5E2%20%2B%209)
m = slope = derivative
Find the derivative / slope of ![-2x^3 + 5x^2 + 9](https://tex.z-dn.net/?f=-2x%5E3%20%2B%205x%5E2%20%2B%209)
We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.
![\frac{d}{dx}(-2x^3 + 5x^2 + 9)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%28-2x%5E3%20%2B%205x%5E2%20%2B%209%29)
![-6x^2 + 10x](https://tex.z-dn.net/?f=-6x%5E2%20%2B%2010x%20)
when x = a
<em>Now that we have this information, we can answer question b</em>
<u>Question b</u>
<u>The tangent line for Point (1, 12)</u>
First find the slope by using our derivative.
![m = 4](https://tex.z-dn.net/?f=m%20%3D%204%20)
Now that we have our slope, use point slope form to find our tangent line
![y - 12 = 4(x - 1)](https://tex.z-dn.net/?f=y%20-%2012%20%3D%204%28x%20-%201%29)
![y(x) = 4x + 8](https://tex.z-dn.net/?f=y%28x%29%20%3D%204x%20%2B%208)
<u>Now lets do the same for the Point (2, 13)</u>
Find the slope at the point.
Now find the tangent line using point slope form of a line.
![y(x) - 13 = -4(x - 2)](https://tex.z-dn.net/?f=y%28x%29%20-%2013%20%3D%20-4%28x%20-%202%29)
![y(x) = -4x + 21](https://tex.z-dn.net/?f=y%28x%29%20%3D%20-4x%20%2B%2021)
Now graph the lines, which I have done and you can see by viewing the image I have attached.
3/5 is 60% 3/15 is 20% divide 60% by 20% and you have a 3 hope this helps
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm