Answer:
9 cm
Step-by-step explanation:
Volume of a square pyramid, V = 1/3*(base area)*h
Where, base area = l*l = l^2
h = height
243 = 1/3(l*2)*h
l = h (base edge length = height)
243 = 1/3(l*2)*l
243 = 1/3(l^3)
729 = l^3
l = (729)^1/3
l = 9 cm
l = h = 9 cm
h = 9 cm
Answer:
Givens
- The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.
<h3>If a window has 2 meters side, how much would it cost? (A)</h3>
Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is:
, where
represents meters of sides. (C)
<h3>If we paid 60 euros, the dimensions are (B)</h3>
![60=3x+12\\60-12=3x\\x=\frac{48}{3}=16](https://tex.z-dn.net/?f=60%3D3x%2B12%5C%5C60-12%3D3x%5C%5Cx%3D%5Cfrac%7B48%7D%7B3%7D%3D16)
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
9514 1404 393
Answer:
y = -5x³
Step-by-step explanation:
The point of inflection of the parent cubic function f(x) = x³ is at the origin, the same place it is shown on the graph. So, there is no translation involved in creating the graph.
We know the parent function gives f(1) = 1, but here, we have (x, y) = (1, -5). This suggests a vertical scale factor of -5. So, the transformed function is ...
y = -5x³
Answer is D best luck bless you