Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds
2 answers:
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Answer:
D. (y +4)² = -4(x -2)
Step-by-step explanation:
The directrix is a vertical line, and the focus is to the left of it. The parabola will open to the left.
The vertex is halfway between the focus and directrix, so is located on the same horizontal line as the focus, at ...
x = (1 +3)/2 = 2
The focus to vertex distance is the difference in x-coordinates: 1 -2 = -1. This is the value of p in the form ...
(y -k)² = 4p(x -h) . . . . . . . parabola with vertex (h, k)
The equation is ...
(y +4)² = -4(x -2)
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<em>Additional comment</em>
Once you determine that the directrix is a vertical line, you know the equation will have a y² term. The only answer choice that has that is D.
Answer: at most 15 pairs of socks
Step-by-step explanation:
Let the number of pair of socks of her sister be , and let the number of pairs Lucy has be
.
Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that
.............................. equation 1
Also , Lucy has at most 9 pairs of socks , this means that
....................................... equation 2
Equating the two equations , we have
multiply through by 3
subtract 12 from both sides
Therefore , the sister has at most 15 pairs of socks
(8.4, 8.4) or
Explanation:
Given points are A(2, 6) and B(18, 12).
Let P(x, y) partitions the line segment in the ratio 2 : 3.
That is AP : PB = 2 : 3.
A(2, 6) can be taken as
B(18, 12) can be taken as
AP : PB can be taken as m : n = 2 : 3.
The coordinate of point P(x, y) divides line segment joining and
in ratio m : n is
Here, and m = 2, n = 3.
Substitute these in the above formula, we get
= (8.4, 8.4)
Hence, the point partitions the line segment is (8.4, 8.4) or .