The answer is probably dilation!
In math, dilation is the enlarging or shrinking of a mathematical element. Dilation changes the size and position of a figure (because of the size difference) but not the shape!
Answer:
1. k=0
2. yes, result is still a polynomial.
3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)
Step-by-step explanation:
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)
for k=0 any polynomial f(x) will reduce f(k) to the constant term.
2. If we multiply a polynomial by a constant, is the result a polynomial?
Yes, If we multiply a polynomial by a constant, the result is always a polynomial.
3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?
Yes.
If
deg(f+g) < deg(f) and
deg(f+g) < deg(g)
then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.
Answer:
a. a + 10 is the correct option.
9514 1404 393
Answer:
PJ ⊥ KP
Step-by-step explanation:
The little square corner at point P is the mark that indicates lines are perpendicular.
That is the only on mark indicating perpendicular in this diagram. It shows line KI to be perpendicular to line MJ. Then all of the segments on one of those lines are perpendicular to any of the segments on the other of those two lines.
Just to make sure we don't get in trouble with interpretation, we should probably include point P in any segments we list.
MJ ⊥ KI
OJ ⊥ KI
MP ⊥ KI
OP ⊥ KI
PJ ⊥ KI
In any of the above, KI can be replaced by KP or PI and the statement will remain true.
_____
<em>Additional comment</em>
Segment NI, being parallel to OP, is also perpendicular to KI. However, it is not marked as such.
MO is perpendicular to PI, but isn't really marked as such.