Answer:
5×5
Step-by-step explanation:
the factorazation is 5×5
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Answer:
384, 216, 290, 192, 384
1446, 1 roll
Step-by-step explanation:
For rectangular boxes, calculate the sum of each side, then multiply it by two.
Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364
Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290
Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.
Box 5: 6(8 x 8) = 384
For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).
Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216
Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192
Total: 364 + 290 + 384 + 216 + 192 = 1446
Rolls of wrapping paper:
Area of 1 roll = 30 x 60 = 1800
Since 1446 is less than 1800, you only need 1 roll of wrapping paper.
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
