Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
The given equation is:
ax2 + bx + c = 0
We have the resolvent is:
x = (- b +/- root (b2 - 4ac)) / (2a)
The discriminant is:
b2 - 4ac = 0
The solution will be:
x = (- b) / (2a)
Thus, the equation has a real solution.
Answer:
option B
Answer:
False
Step-by-step explanation:
Flip the equation.
−a<2
Divide both sides by -1.
a>−2
Yeah I’m pretty sure you’re right
Solution:
Diameter=11ft
Therefore radius=5.5 ft(Since radius=Diameter/2)
Volume of sphere=4/3py r^3
= 4/3.22/7.5.5^3
=697.19 Cubic feet.
Therefore the volume of sphere is 697.19 cubic feet.This is your required solution.
