Answer:
x = 19
Step-by-step explanation:
Solve for x:
3 x + 43 = 100
Subtract 43 from both sides:
3 x + (43 - 43) = 100 - 43
43 - 43 = 0:
3 x = 100 - 43
100 - 43 = 57:
3 x = 57
Divide both sides of 3 x = 57 by 3:
(3 x)/3 = 57/3
3/3 = 1:
x = 57/3
The gcd of 57 and 3 is 3, so 57/3 = (3×19)/(3×1) = 3/3×19 = 19:
Answer: x = 19
Answer:
After the Probable Cause Panel has met and has determined that there is probable cause. The next step in the complaint process is to initiate investigation.
Step-by-step explanation:
The Probable Cause Panel (PCP) is structured by two professionals and one board member or consumer member. They determine probable cause within 30 days.
The following scenarios if PCP determined there is probable cause is to start an investigative report of the department but the complainant may appeal the decision of the probable cause panel within sixty days of notification by providing additional information for consideration.
You can rewrite the equation in vertex form to find some of the parameters of interest.
x² +8x +4 = -4y
x² +8x +16 -12 = -4y
(x+4)² -12 = -4y
y = (-1/4)(x +4)² +3
From this, we see
the vertex is (-4, 3).
The scale factor, (-1/4) is 1/(4p), where p is the distance from the vertex to the focus. Solving for p, we have
-1/4 = 1/(4p)
p = -1 . . . . . multiply by -4p
So, the focus is 1 unit below the vertex.
The focus is (-4, 2).
The directrix is the same distance from the vertex, but in the opposite direction, hence
the directrix is y = 4.
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On a graph, if all you know is the vertex, you can draw a line with slope 1/2 through the vertex. It intersects the parabola at the y-value of the focus. Then the distance from that point of intersection to the axis of symmetry (where the focus lies) is the same as the distance from that point to the directrix.
Every point on the parabola, including the vertex and the point of intersection just described, is the same distance from the focus and the directrix. This point of intersection is on a horizontal line through the focus, so finding the distance is made easy.
I think its C but im not sure.