Steps to solve:
k + 10 = 27
~Subtract 10 to both sides
k = 17
Best of Luck!
Answer:
-15 and -2
Step-by-step explanation:
Since a negative times a negative equals a positive, but when added, still stays a negative, the factors must both be negative.
Negative Factors of 30:
-30 + -1 = -31
-15 + -2 = -17
-10 + -3 = -13
-6 + -5 = -11
The two factors of 30 that add up to -17 are -15 and -2.
Hope this helps. Have a nice day.
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
Step-by-step explanation:
Replace all occurrences of
+
−
with a single
−
. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because
1
⋅
−
1
=
−
1
−
20
−
2
m