HELP WITH SOME GEOMETRY. 20 POINTS
2 answers:
Answer:
1. Dilation. 2. Translation 3. False 4.True 5. Translation 6.(1,4) 7. Exchanging points 8. A reflection is a type of transformation that can be defined as a mirror image seen across a line or a point.
Step-by-step explanation:
1. Since the area was then reduced (shrinked).
2. The Quadrilateral slided away
3. False, since (x+2, y-3) is rule of translation of that point, the endpoint is (1,3)
4. True. Let us imagine The snail at point (1,0) traveling to (2,0)
5. Translation, since there would be no rise along the y axis
6. (-4+5,-1+5)=(1,4) Endpoint
7. It's a Geometric Transformation that consists in exchanging points as a reflex in a mirror image. As if we had flipped the image over.
8. Just like the explanation above.
9. All points with opposite sign for y coordinate and same coordinate for x, are reflections across the x-axis: A(1,2) A'(1,-2)
10. All points with opposite sign for x coordinate and same coordinate for y, are reflections across the<u> y-axis, </u>for the same previous point: A(1,2) A'(-1,2)
11. All points with opposite sign for x coordinate and y coordinate, are reflections across the<u> origin, </u>for the same previous point: A(1,2) then A'(-1,-2)
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Answer:
Domain of the function is { x : x∈R, x>0 } or (0,∞).
Step-by-step explanation:
It is given that the dimensions of a rectangular piece of cardboard are
Length = 14 inch
Width = 10 inch
The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are
Length = 14-2x inch
Breadth = 10- 2x inch
Height = x inch
The volume of cuboid box is
The volume function of the box is
The volume function is V=(14-2x)(10-2x)x.
It is a polynomial function and domain of a polynomial function is all real numbers.
Here, x represents the height of the box. So, value of x must be a positive real number.
Domain of the function is
Domain = { x : x∈R, x>0 }
It can be written as (0,∞).
Therefore, domain of the function is { x : x∈R, x>0 } or (0,∞).