<span>When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola.
The standard form of the equation of the hyperbola is shown below:
[(x-h)^2/a^2]-[(y-k)^2/b^2]=1 (Horizontal axis)
</span>[(y-k)^2/a^2]-[(x-h)^2/b^2]=1 (Vertical axis)<span>
Therefore, the answer is: Hyperbola.
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Answer:
1/4 times 3/8= 3/4
Step-by-step explanation: or 0.09375 please mark me brainlest if its wrong so sorry
Answer:
FOR REGULAR PYRAMID with those dimension.
L.A = 96
FOR HEXAGONAL PYRAMID with those dimension
L.A = 171.71
Step-by-step explanation:
Please the question asked for L.A of a REGULAR PYRAMID, but the figure is a HEXAGON PYRAMID.
Hence I solved for both:
FOR REGULAR PYRAMID
Lateral Area (L.A) = 1/2* p * l
Where p = Perimeter of base
P = 4s
P = 4 * 6
P = 24cm
l = slanted height
l = 8cm
L.A = 1/2 * 24 * 8
L.A = 1/2 ( 192)
L.A = 96cm ^ 2
FOR AN HEXAGONAL PYRAMID
Lateral Area = 3a √ h^2 + (3a^2) / 4
Where:
a = Base Edge = 6
h = Height = 8
L.A = 3*6 √ 8^2 + ( 3*6^2) / 4
L.A = 18 √ 64 + ( 3 * 36) / 4
L.A = 18 √ 64 + 108/4
L.A = 18 √ 64+27
L.A = 18 √ 91
L.A = 18 * 9.539
L.A = 171.71
By comparing the perimeters, we can deduce the scaling factor:
The areas scale with the square of the scaling factor, so the new area is
We have y=2x and y=x+2
They both equal y, so substitute the first equation for y in the second equation.
2x=x+2
Let’s get x to one side. Let’s subtract x from both sides.
X=2
Since x=2, just plug in 2 for x.
2+2=4
So,
X=2
Y=4
