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antoniya [11.8K]
2 years ago
9

Determine whether (XY) and (MV) are parallel, perpendicular, or neither.

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0

Answer:

d

Step-by-step explanation:

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Two cylindrical containers, C and D, with different capacities are shown below. What is the total volume of liquid held in these
Zielflug [23.3K]

Answer:

Option D. (x + 4)(x + 1)

Step-by-step explanation:

From the question given above, the following data were obtained:

C = (6x + 2) L

D = (3x² + 6x + 9) L

Also, we were told that half of container C is full and one third of container D is full. Thus the volume of liquid in each container can be obtained as follow:

Volume in C = ½C

Volume in C = ½(6x + 2)

Volume in C = (3x + 1) L

Volume in D = ⅓D

Volume in D = ⅓(3x² + 6x + 9)

Volume in D = (x² + 2x + 3) L

Finally, we shall determine the total volume of liquid in the two containers. This can be obtained as follow:

Volume in C = (3x + 1) L

Volume in D = (x² + 2x + 3) L

Total volume =?

Total volume = Volume in C + Volume in D

Total volume = (3x + 1) + (x² + 2x + 3)

= 3x + 1 + x² + 2x + 3

= x² + 5x + 4

Factorise

x² + 5x + 4

x² + x + 4x + 4

x(x + 1) + 4(x + 1)

(x + 4)(x + 1)

Thus, the total volume of liquid in the two containers is (x + 4)(x + 1) L.

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A palindrome is a number that reads the same forwards and backwards, such as 22 or 39793.
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Answer:

There are thirty-nine palindromic numbers between 10 and 400.

Step-by-step explanation:

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stiks02 [169]

Answer:

7261.92

Step-by-step explanation:

Product means you mutilpy them together

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