Let p represent any number in the interval (- 18,22). Rewrite the possible values for p in inequality notation.
1 answer:
Answer:
Step-by-step explanation:
We are given the following information in the question.
The open interval: (- 18,22).
Let p belong to the given interval then p represents all the values belonging to the given interval.
Open Interval: An open interval is a interval that does not include the end points.
Thus, we can write:
is the required inequality form required.
That is p can take values greater than -18 and smaller than 22.
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Answer:
.
Step-by-step explanation:
Let and
denote the two endpoints.
The formula for the midpoint of these two points would be:
.
(Similar to taking the average of each coordinate.)
In this question, it is given that whereas
. Substitute these two values into the expression for the coordinate of the midpoint:
-coordinate of the midpoint:
.
-coordinate of the midpoint:
.
Solve these two equations for and
:
whereas
.
Hence, the coordinate of the other point would be .
Focus of the parabola is (-5,5) and directrix is y = -1.
Let's assume a point (x,y) on parabola.
According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.
Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.