Consider the parabola with equation y = 1
4
x
2
shown in the figure. For any point (x, y) on the
parabola, we can form a parabolic rectangle. A parabolic rectangle has one vertex at (p, q), a second
vertex on the parabola, and the other vertices on the x-axis. The parabolic rectangle shown with a
vertex of (2,1) has an area of 4 square units.

● Part A: A parabolic rectangle has one vertex at (10, 25). What are the coordinates of the
other three vertices?
● Part B: What is the area of the parabolic rectangle having one vertex at (−6,0)?
● Part C: What is the area of the two parabolic rectangles that have a side length of 36?
● Part D: What is the area of the parabolic rectangle whose length and width are equal?

1d

2b

3 false

4 d

5 3200sq,ft

80+60+y=180

then divide the difference between 60 and y and add it to 180

so x =180 +( (y-60)/2)

x equals 200

step-by-step explanation:

8

triangle and cube

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;