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yaroslaw [1]
3 years ago
5

The radius of a cylinder is 3x - 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the

formula A = 2πr^2 + 2πrh.
A. 2π(3x^2 + 10x - 8)
B. 2π(12x^2 + 7x - 2)
C. 2π(12x^2 - 2x +13)
D. 2π(12x^2 - 5x -2)
Mathematics
1 answer:
Anestetic [448]3 years ago
7 0
Surface area = 2 pi (3x-2)^2 + 2 pi  (3x -2) ( x + 3)

= 2 pi (9x^2 - 12x + 4 + 3x^2 + 7x - 6

= 2pi(12x^2 - 5x - 2)

Its D
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svlad2 [7]
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer

Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)

4 0
3 years ago
The curve with equation y = x - 3x + 1 is reflected in the x-axis.
ankoles [38]

Answer:

Step-by-step explanation:

C

7 0
3 years ago
Prove sin^2A + cos^2A = 1
Nady [450]

Step-by-step explanation:

{sin}^{2} A +  {cos}^{2} A  = 1 \\ lhs =  {sin}^{2} A +  {cos}^{2} A  \\  =  {sin}^{2} A +  1 - {sin}^{2} A  \\  = 1 \\  = rhs \\  \therefore \:  {sin}^{2} A +  {cos}^{2} A  = 1 \\

8 0
3 years ago
simon makes 30 cakes gives 1/5 of the cakes to sali. He gives 10% of the 30 cakes to jane what fraction of the fake cakes does h
dexar [7]

Total number of cakes made by Simon = 30 cakes.

Number of cakes gave to Sali = 1/5 Of total cakes = 1/5 * 30 = 6 cakes.

Number of the cakes gave to Jane = 10% of 30 cakes

10% can be written as 10/100 in fracions and in decimals it would be 0.10.

Therefore, 10% of 30 cakes = 0.10 times 30 = 3 cakes.

Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane = 30-6-3

Therefore, Total number of cakes left = 21.

21 cakes left our of 30 cakes.

21 out of 30 could be written in fracion form as 21/30.

We can reduce this fracion in simplest form by dividing top and bottom by 3, we get

7/10.

Therefore, 7/10 fraction of the cakes does he have left.

8 0
3 years ago
Whats -33 + -20 , show how you can describe it.”
Advocard [28]

Step-by-step explanation:

-33 + -20 is -53. and I don't how

8 0
3 years ago
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