Find the Missing angle
2 answers:
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Answer:
Step-by-step explanation:
If you plot the directrix and the focus, you can see that the focus is to the left of the directrix. Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific. The formula for the parabola that opens to the left is
We will solve this for x at the end. The negative is out front because it opens to the left. If it opened to the right, it would be positive.
The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus. Since the vertex is directly between both the directrix and the focus, each distance is the same. P = 1. Filling in what we have now:
which simplifies to
Now we will solve it for x.
and
so
Answer:
The answer is below
Step-by-step explanation:
a) The graph is attached
b) The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:
The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.
c) y = 2.5x
put x = 48 mm
y = 2.5(48)
y = 120 miles
The actual distance between Toledo and Columbus is 120 miles
d) y = 2.5x
Put y = 225 miles
225 = 2.5x
x = 225/2.5
x = 90 mm
The distance on map between Cincinnati and Cleveland is about 90 mm.
You can download this app called Symbolab but the answer is -144xy^2
