Answer:
Step-by-step explanation:
3x-5(-4)=23 (1,-4)
3x+20=23
-20
3x=3/3
x=1
Answer: 37.05m^2
Step-by-step explanation:
Area of shaded region = Area of rectangle - non shaded region (the middle shapes)
Rectangle = 13.7 x 14.4 = 197.28m^2
Left half circle: 3.14 x 6.3^2 = 124.6266m^2
Right half circle: 3.14 x 2.8^2 = 24.6176m^2
Square: 3.3^2 = 10.98 m^2
197.28 - ( 124.63 + 24.62 +10.98 ) = 37.05 m^2
Answer:
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Step-by-step explanation:
Volume of the Cylinder=400 cm³
Volume of a Cylinder=πr²h
Therefore: πr²h=400

Total Surface Area of a Cylinder=2πr²+2πrh
Cost of the materials for the Top and Bottom=0.06 cents per square centimeter
Cost of the materials for the sides=0.03 cents per square centimeter
Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)
C=0.12πr²+0.06πrh
Recall: 
Therefore:



The minimum cost occurs when the derivative of the Cost =0.






r=3.17 cm
Recall that:


h=12.67cm
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Ab + 2a + 5b + 10
= a(b + 2) + 5(b + 2)
= (b + 2) (a + 5)
Answer:
41x² - 27x + 27
Step-by-step explanation:
Perimeter of Rectangle:
= 2(20x²-12x+4) + 2(5x²-5x+15)
= 40x²-24x+8 + 10x²-10x+30
= 50x²-34x+38
Perimeter of Triangle:
= 6x²+6x+3x+3+3x²-2x+8
= 9x²+7x+11
Difference:
(50x²-9x²)+(-34x+7x)+(38-11)
= 41x² - 27x + 27