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Alona [7]
3 years ago
5

Factor completely. 81x^4 − 1

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0
81x^4-1=(9x^2-1)(9x^2+1)
=(3x-1)(3x+1)(9x^2+1)
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Which of the following lines has a negative slope?
Furkat [3]

Answer:

The second option, or the one attached.

Step-by-step explanation:

       This line has a negative slope because the line is going "down the stairs" from the top-left to the bottom-right.

6 0
2 years ago
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2 * 3 - 2y equals 5 ​
bearhunter [10]

Answer:

5.5

Step-by-step explanation:

2 times 3 is 6 then but to the other side so plus 6 then You have 2y=11

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3 0
3 years ago
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

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If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
Find the gradient of the line segment between the points N(-1,2) and M(-6,3)​
siniylev [52]

Answer:

1/5

Step-by-step explanation:

Gradient is another word for slope. To find the gradient, we have to use a formula.

8 0
3 years ago
The question is in the picture​
otez555 [7]

Answer:

x=27.8

Step-by-step explanation:

first, you need to find y. 2y-5=65. 65+5 is 60 and you are left with 2y=70. to get the 2 off of the y you divide everything by 2. 70/2 is 35 therefor y=35. Now you plug that into the other equation (2x+y) and get 2x+35 which is equal to segment 90.6 so 2x+35=90.6. subtract 35 on both sides and you have 2x=55.6. To get the 2 off the x, we divide everything by 2. all of that divided by 2 is x=27.8

5 0
2 years ago
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