The equation of the vertical parabola in vertex form is written as
Where (h, k) are the coordinates of the vertex and p is the focal distance.
The directrix of a parabola is a line which every point of the parabola is equally distant to this line and the focus of the parabola. The vertex is located between the focus and the directrix, therefore, the distance between the y-coordinate of the vertex and the directrix represents the focal distance.
Using this value for p and (3, 1) as the vertex, we have our equation
Answer:
y + 1 = 4(x - 2)
y = 4x + 11
8x - 2y = 6
Step-by-step explanation:
Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).
y + 1 = 4(x - 2)
y = 4x + 11
8x - 2y = 6
Answer:
1. Distance from Katie's House to the beach = 75 km
2. Hours that it takes to get to the beach = 6 hrs
3. -12.5 which tells us the rate at which katie traveled which was 12.5 km per hour
Steps to 3.
Rise/Run = -75/6 = -12.5 = slope
Answer:
x = 129.8 degrees, y = 50.2 degrees, x + y = 180
Step-by-step explanation:
Let's say you have 2 supplementary angles, x and y
So x + y = 180
if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8
Putting this into our x + y = 180 equation, we get
(y - 79.8) + y = 180
2y - 79.8 = 180
2y = 180 + 79.8
2y = 259.8
y = 259.8/2 = 129.9 degrees.
so x = 129.9 - 79.6 = 50.3 degrees.
See if it worked. x = 129.9 degrees, y = 50.3 degrees, x + y = 180 so we found the correct two angles! :-)
