Answer:
6
Step-by-step explanation:
The 3 by 2 rectangle is 6 so 15-6=9
3 x (x-2) x 0.5 = 9
3 x (6-2=4) 4 = 12 / 2 = 6
Answer:
182 days
Step-by-step explanation:
Given:
Date on which loan is made = March 12
Due date of the loan = September 10
Now,
The months in between March and September and the number of days in the particular months are
Month Number of days
April 30
May 31
June 30
July 31
August 31
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Total number of days = 153
also,
Number of days left in March after 12 are (31 - 12 ) = 19 days
and,
Number of days in September before the due date = 10 days
Hence, the total time for loan = 19 + 153 + 10 = 182 days
since the included months does not have the month of February. Therefore,
the time for both leap year and non-leap year will remain same.
Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
_____
You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.
Answer:
16.31
Step-by-step explanation:
16.31 is your new price