Question

Help me to answer this question pls​

Answer 1

Answers:

1. Algebra
2. Choices C and D are both non-polynomials
3. Degree = 6
4. The output is 4
5. (2x)^3
6. Collinear points
7. Line
8. Space
9. Point
10. Plane
11. Transversal Lines
12. Scalene triangle
13. Regular polygon
14. Skipping
15. Equiangular

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Step-by-step explanation:

1. Algebra is the generalization of arithmetic. For example, instead of us saying 1+2 = 3, we could say x+2 = 3 and would solve to find that x = 1.
2. A polynomial cannot have x in the denominator, and it can't have x in a square root either. This is why choices C and D are both not polynomials.
3. Add the exponents for each monomial. The largest sum is the degree. In this case, the degree is 2+4 = 6.
4. Replace each variable with its respective numeric value. You should get 4*(-2)^2*(1)^3*(1/4) = 4.
5. If you plugged x = -2 into (2x)^3, then you should get (2*(-2))^3 = (-4)^3 = -64.
6. Collinear points are on the same line by definition. Think "co" as in "share" and "linear" meaning "line". They share the same line.
7. Lines are defined to have no width or thickness, but they have length.
8. The set of all points in 3D space is simply referred to as the space of all points or just space. Sometimes referred to as 3-space.
9. Points are infinitely small and occupy no space at all. They appear to be small circles but in reality the circles should be infinitely small. They only appear this way so we can see the points of course.
10. A plane is a flat surface that doesn't bend. Think of a table or counter top.
11. The coplanar lines may or may not be parallel. Introducing a third line that intersects both is considered a transversal line. I like to think of this line able to traverse between both the other lines (like it's commuting to work or something).
12. Scalene triangles have all sides of different lengths. This also means each angle is different from one another.
13. If a polygon has all sides the same length, and all angles the same measure, then we consider it a regular polygon. An equilateral triangle is one example. A square is another example.
14. I'm skipping this since it's not listed.
15. "Equi" means "equal" and "angular" means "angle". Therefore, "equiangular" means "equal angles". If a triangle is equiangular, then it's automatically equilateral (and vice versa). This doesn't work for other polygons. Consider a rectangle that is stretched really long. Clearly not all sides are the same length, so we don't have a square.