Answer:
yes it would be 1
Step-by-step explanation:
Answer:
triangle; area = 90 ft2
Step-by-step explanation:
THe type of two dimensional solid created by a vertical cross section of the cone that passes through the apex is a triangle, as you can see in the picture, if you draw a line that cuts the cone in half passing through the apex it would just be a triangle, and the area of the cross section is given by the formula:
![a=\frac{b*h}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bb%2Ah%7D%7B2%7D)
Since you have the radius of the base of the cone, you need the diameter to calculate the area, the diameter is given by the next formula:
![D=2r](https://tex.z-dn.net/?f=D%3D2r)
![D=2(6)](https://tex.z-dn.net/?f=D%3D2%286%29)
![D=12](https://tex.z-dn.net/?f=D%3D12)
Now you just put your values into the formula of the triangle:
![a=\frac{(12)(15)}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%2812%29%2815%29%7D%7B2%7D)
![a=\frac{(180}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%28180%7D%7B2%7D)
![a=90](https://tex.z-dn.net/?f=a%3D90)
So the area of the triangle formed is:
![90ft^{2}](https://tex.z-dn.net/?f=90ft%5E%7B2%7D)
F(x) = 5x - 4.....slope is 5
g(x) : (0,1)(2,5)
slope = (5 - 1) / (2 - 0) = 4/2 = 2 .....slope is 2
h(x) : (1,14)(4,15)
slope = (15 - 14) / (4 - 1) = 1/3..slope = 1/3
so the smallest slope would be : h(x) with a slope of 1/3
The point-slope formula is: ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=%20y-y_1%3Dm%28x-x_1%29%20)
We know the slope is -4 and the ordered pair
is (-3,1)
So plug it in: ![y-1=-4(x-(-3))](https://tex.z-dn.net/?f=%20y-1%3D-4%28x-%28-3%29%29%20)
![y-1=-4(x+3)](https://tex.z-dn.net/?f=%20y-1%3D-4%28x%2B3%29%20%20)
That is the point slope form
You can simplify it further to slope-intercept form if you want to, which helps graph it in my opinion