Answer:
281 ft^2
Step-by-step explanation:
We need to add each individual 2d shape together to find the surface area
Bottom: 5*12 = 60
Left side and right side: 4*5 = 20, 2 sides so 20*2= 40
Side facing us and side facing away from us: 12*4 = 48, 2 sides so 48*2=96
Top side that is cut by base of triangle: 7*5 = 35
Each triangle face: base = 5 (12-7), height = 5 1/2base * height so each triangle is .5*5*5 = 12.5; 4 triangles so 12.5*4=50
60+40+96+35+50=281
Answer:
<h2>(-3,-6)</h2>
Step-by-step explanation:
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Answer:
m = 0
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make the rational expression undefined. Equating the denominator to zero and solving gives the value that m cannot be.
4m² = 0 ⇒ m² = 0 ⇒ m = 0 ← excluded value
Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as
... y = 1/(4p)·(x -h)² +k
The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is
... (h, k) = (0, 0).
The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so
... p = 6.
Filling these values into the equation gives
... y = 1/(4·6)·(x -0)² +0
... y = (1/24)x²