1.) Which function in vertex form is equivalent to f(x) = x2 + x +1?
1 answer:
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Answer:
Here we will use the relationships:
And a number:
is between 0 and 1 if a is positive and larger than 1, and n is negative.
if a is positive and 0 < a < 1, then we need to have n positive such that:
0 < a^n < 1
A)
This is between zero and 1,
B)
This is greater than 1, because the exponent is positive.
C)
Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.
D)
The exponent is negative (and pair) then the expression is between 0 and 1.
Remember that when the exponent is pair, we always have that:
(-N)^m = (N)^m
So (-7)^-2 = 7^-2
Answer:
Step-by-step explanation:
Let points D, E and F have coordinates and
1. Midpoint M of segment DF has coordinates
2. Midpoint N of segment EF has coordinates
3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.