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My name is Ann [436]
3 years ago
10

Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\
x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)

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John has a cylindrical propane tank that measures 8" in diameter and 8" tall If John
kirza4 [7]

Answer:

2 times as large

Step-by-step explanation:

For the original cylinder, we can say that the volume of a cylinder is equal to V= πr²h. For this cylinder, we can say that  V = π * radius² * height. The radius is equal to 1/2 of the diameter, so the original radius is 8/2 = 4. Therefore, the volume of the original cylinder is V = π * radius² * height = π * 4² * 8 = π * 16 * 8 = π * 128

For the new cylinder, "twice as wide" means that the diameter is twice as big as the original one. Half the height means that the height is halved. The new diameter is therefore 8 * 2 = 16 (meaning that the new radius is 16/2=8) while the new height is 8/2 = 4. The new volume is thus

V = π * radius² * height = π * 8² * 4 = π * 64 * 4 = π * 256

To see how much larger the new tank volume is, we can divide (new tank volume) by (old tank volume), resulting in

π * 256 / (π *128) = 2

8 0
3 years ago
Which of these numbers has the smallest value? Nine tenths, twenty hundredths, two hundredths, or forty five thousandths
victus00 [196]
Nine tenths = 0.9
Twenty hundredths is 0.2
Two hundredths is 0.02
Forty five thousandths is 0.045

The number with the smallest value is 0.02, or two hundredths.

The inequality that correctly compares thirty five and thirty seven hundredths (35.37) to thirty five and ninety four thousandths (35.094) is B. 35.37 > 35.094, because 35.37 is greater than 35.094.

25 - [2 x (18÷ 6) + 1]
25 - [2 x (3) + 1]
25 - [6 + 1]
25 - [7]
18
25 - [2 x (18 ÷ 6) + 1] = 18
5 0
3 years ago
What is the perimeter of a triangle with the side lengths 4 cm, 6 cm, and (3y-2) cm?
jek_recluse [69]

Answer:

Step-by-step explanation:

P = 4 + 6 + (3y - 2)      Remove the brackets

P = 10 + 3y - 2            Combine

P = 8 + 3y

Note 3y must be less than 8. That's because 2 sides of any triangle must be larger than the 3rd side or else you don't have a triangle.

7 0
3 years ago
Is this right? I’m confused for answering either B or C.
boyakko [2]

your profile says you're 22 but I find that painfully challenging to believe. She knits 5 scarves in 2 hours. Divide 10 by 2, you get 5. 5x5 is 25. It's C. You shouldn't need help. This is sad.

3 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST, 5 STARS, AND THANKS!
elixir [45]

Answer:

D. 27

Step-by-step explanation:

1.5 cm / 0.5 cm = 3

So now think of the cube as 3 blocks x 3 blocks x 3 blocks, instead of 1.5cm x 1.5cm x 1.5cm. 3 x 3 x 3 = 27

I hope this helped!

6 0
3 years ago
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