We get 65 miles away from Pittsburgh each hour, but we also started 80 miles away. Thus, our formula for dd is dd = 65tt + 80
C. 14.125
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It is given that
.
Now, know that in 180 degrees there are
radians. This can be written as:
radians
radians (dividing both sides by 180)
Thus, to find the measure of the given angle of
in radians, we will have to multiply the above equation by 135. Thus, we get:
radians
radians
Thus, equivalent to the radian measure of angle a is 2.356
1 gallon = 3.785 liters
Water in pool = 8000 x 3.785
Water in pool = 30,280 liters
Chlorine dosage = 2.5 mg / liter
Chlorine = 2.5 x 30,280
Chlorine = 75,700 mg
To the nearest thousand milligram:
Chlorine = 76,000 mg
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2