First, note that 
Then use the formula for the sum of perfect cubes:
Therefore,
The quadratic trinomial 
couldn't be factored anymore, so the expression 
has two factors 
and 
Answer: correct choice is A.
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
Equation for this line is y = -2x + (-4)
<u>Step-by-step explanation:</u>
Step 1:
Slope intercept equation for a line is of the form y= mx + b, where m is the slope and b is the y-intercept.
Step 2:
Calculate slope of the given line.
⇒ m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(-3 - (-1)
⇒ m = 4/-2 = -2
Step 3:
Find y-intercept
⇒ b = - 4
Step 4:
Substitute values to get equation
⇒ y = -x -4 or y = - (x + 4)
Answer:
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Step-by-step explanation:
lol jp its 5lloolo
Step-by-step explanation:
-2+3-12-2
1+15=16 Answer
hope it helps
