Answer:
y-5 = -3x
or
y = -3x+5
Step-by-step explanation:
We can use the point slope form of the equation
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-5 = -3(x-0)
y-5 = -3x
We can change it to slope intercept form y= mx+b by adding 5 to each side
y-5+5 = -3x+5
y = -3x+5
Answer:
y=2x-14
Step-by-step explanation:
Gradient as m(for 1st line m1 and m2 for 2nd line)
m1/m2=-1
m1=(-1)*(-2)=2
y-(-2)/x-6=2
y+2/x-6=2
y+2=2x-12
y=2x-14
6,5 is two points to this equation
Given the figure of a regular pyramid
The base of the pyramid is a hexagon with a side length = 6
The lateral area is 6 times the area of one of the side triangles
So, the side triangle has a base = 6
The height will be:
![\begin{gathered} h^2=6^2+(\frac{\sqrt[]{3}}{2}\cdot6)^2=36+27=63 \\ h=\sqrt[]{63} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D6%5E2%2B%28%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%5Ccdot6%29%5E2%3D36%2B27%3D63%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B63%7D%20%5Cend%7Bgathered%7D)
so, the lateral area =
![6\cdot\frac{1}{2}\cdot6\cdot\sqrt[]{63}=18\sqrt[]{63}](https://tex.z-dn.net/?f=6%5Ccdot%5Cfrac%7B1%7D%7B2%7D%5Ccdot6%5Ccdot%5Csqrt%5B%5D%7B63%7D%3D18%5Csqrt%5B%5D%7B63%7D)
Tbh I would say ounces or grams. I wouldn't make a final decision on my answer though.
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