We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
Try looking it up becaus hard to understand
Answer: Assume the cross section is taken at the same height where the circumference was measured. Then
48/3 = 16 inches, close enough, actually. Trees aren't cylinders.
48 × 7 / 22 inches = 15.2727272
48/3.1415926 = 15.2788747
48/pi = 15.2788745368219522338128412837... ☺️
Step-by-step explanation:
circumference / diameter = pi = 3.1415926......
So diameter = circumference / pi.
x = 3y because of corresponding angles theorem
y = x/3
9
132 divided by 16 is 8.25 but u still need to sit the remainder so 9