Answer: Add 9 to both sides to complete the square
Step-by-step explanation:
The formula for the number you need to add to complete the square is (b/2)^2. In this case, b = -6, so:
(b/2)^2 = (-6/2)^2 = (-3)^2 = 9.
(After adding 9 to both sides, you will get x^2 - 6x + 9 = 14 which can be factored to (x - 3)^2 = 14)
For 100% anything lower than 50% would be under half 50% as your top number anything under 25% would be under half etc so just divide the top number by 2 and you'll get half =D
n, n + 2, n + 4 - three consecutive odd integers
the first is 33 less than twice the second
n - 33 = 2(n + 2) <em>use distributive property</em>
n - 33 = (2)(n) + (2)(2)
n - 33 = 2n + 4 <em>add 33 to both sides</em>
n = 2n + 37 <em>subtract 2n from both sides</em>
-n = 37 <em>change the signs</em>
n = 37
n + 2 = 37 + 2 = 39
n + 4 = 37 + 4 = 41
<h3>Answer: 37, 39, 41</h3>
When you have to describe a 3D shape you have to keep the following definitions in mind:
<em>1. The face of a 3D shape is a flat surface.</em>
The shape on the picture has 3 rectangular faces and 2 triangular faces, a total of 5 faces.
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<em>2. The edge is where two faces meet.</em>
For the shape on the picture, there are 3 edges, where the rectangular faces meet each other, and then three edges where the rectangular faces meet each of the triangular faces, this shape has a total of 9 edges.
<em>3. The vertex is a corner, where the edges meet.</em>
There are three vertices on each end of the shape, so it has a total of 6 vertices.
A shape that has 5 faces, 9 edges, and 6 vertices is a triangular prism.
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