Step-by-step explanation:
x³ - 23x² + 142x - 120
x³ - x² - 22x² + 22x + 120x - 120
x²(x - 1) - 22x(x - 1) + 120(x - 1)
(x - 1)(x² - 22x + 120)
(x - 1)(x² - 10x - 12x + 120)
(x - 1)[x(x - 10) - 12(x - 10)]
(x - 1) (x - 10) (x - 12)
Answer:
photomath
Step-by-step explanation:
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Volume is a three-dimensional scalar quantity. The cost of the glass is $1312.24.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the colony must be able to take a volume of 200,000 cubic meters, therefore, the diameter of the hemisphere will be,
The volume of Hemisphere = (2/3)πr³
200,000 = (2/3) × π × R³
R = 45.7
The area of the base of the hemisphere is,
Area of the base = πR² = π×(45.7) = 6561.185 meters²
Given the cost of glass is $0.20 per square meter, therefore, the cost of the glass of the base will be,
Cost of glass = 6561.185 × 0.20 = $1312.24
Hence, the cost of the glass is $1312.24.
Learn more about Volume:
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Answer:
(h,k) (-1,-3)
Step-by-step explanation:
Given that JKV is a triangle.
We need to determine the translated image of the coordinate V using the rule 
<u>New point V:</u>
The coordinate of the point V is (4,-1)
The new point V can be determined using the rule
Now, substituting the point (4,-1) in the rule, we get;
New point = 
Simplifying the terms, we get;
New point = 
Thus, the coordinate of the new point V is (1,5)
