Answer:
-2
Step-by-step explanation:
slope form: y2-y1/x2-x1
points: x1, y1 (2,7) and x2,y2 (-4,19)
substitute the points into the form: 19-7/-4-2
simplify: 12/-6 = -2
The greatest length is the gcf of 52 and 64.
52 = 2 x 2 x 13
64 = 2 x 2 x 2 x 2 x 2 x 2
gcf = 2 x 2 = 4
Therefore, the greatest length of the pieces that can be made = 4 inches
The actual factor is 6(x + 1)(x^2 - x +1).
Answer:
All the mentioned can be constructed with the help of piling method. But, for construction of b and d we need a point as well.
Step-by-step explanation:
a) Yes, a cube can be formed by stacking polygons. If we stack squares one upon another, then the resulting 3-D figure would be a cube.
b) Yes, a cone that does not include the point can be made by stacking disc. If we stack discs such that the discs are arranges in descending order then the resultant 3-D figure would be a cone that does not include a point.
c) Yes, a pyramid can be formed by stacking polygons.
If we stack squares such that they are arranged in descending order of their side length and stacked by a point on the top. Then the resultant figure would be a pyramid that includes a vertex.
f) There are many types of prism. Fro example a rectangular prism can be constructed by simply stacking rectangle polygon on one another.
e) Yes, a cone can be formed by stacking disc.
We need to stack disks arranged in descending order of their radius stacked with a point on the top. The resulting figure would be a cone that includes a point.
f) Yes, a cylinder can be formed by stacking. We need to stack discs of same radius to get a cylinder.
