The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.995 and one focus at the Sun. The length of its major axis is 366.5 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1-e) and the aphelion distance is a(1+e).) Find the answer in AU and round to the nearest hundredth.
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c. 365.58AU
Mathematics
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Solve.A rectangular flower bed is eight feet longer than it is wide. If the area of the flower bed is 84 square feet, find the width and the length of the flower bed.
A. 12 feet by 7 feet B. 12 feet by 20 feet C. 4 feet by 21 feet D. 6 feet by 14 feet
Mathematics
Identify the group of terms as like or unlike.4a7, 4a8
A. Like B. Unlike
Mathematics
Use the Binomial Theorem to find the indicated coefficient or term.The 8th term in the expansion of (2x + 3y)11
A. 11,547,360x4y7 B. 3,849,120x7y4 C. 3,849,120x4y8 D. 5,773,680x7y4
Mathematics
Solve the system by any method.
x - 
y = -53- 
x + 
y = 23
A. {(-63, 35)} B. {(63, 35)} C. {(63, -35)} D. {(-63, -35)}
Mathematics