Answer:
$27
Step-by-step explanation:
b will be the number of books and p will be the price, now we just use a system of equations
bp = 864
b=864/p
(b+4)(p-3) = 864
(864/p +4)(p-3) = 864
864 - 2592/p + 4p -12 = 864
864p - 2592 + 4p^2 -12p - 864p = 0
4p^2 -12p -2592 = 0
4(p^2 - 3p -648) = 0
4((p - 3/2)^2 - 2601/4) = 0 (completed the square here)
4(p - 3/2)^2 -2601 = 0
p = +/-51/2+3/2
p = 27 or -24
A negative price doesn't make sense so it's 27, now we go back to the other equation if you want to find the number of books.
b=864/p
b = 864/27
b = 32
314 meters because the equation for the area of a circle is A = pi r squared
Answer:
15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
Step-by-step explanation: 15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
