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vesna_86 [32]
3 years ago
7

Factorise the following.​

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

Step-by-step explanation:

i). \frac{48a^3}{6a}=\frac{6\times 8\times a\times a^2}{6a}

          =\frac{6a}{6a}\times 8a^2

          = 8a²

ii). \frac{72a^3b^4c^5}{8ab^2c^3} = \frac{8\times 9\times a\times a^2\times b^2\times b^2\times c^2\times c^3}{8ab^2c^3}

                = \frac{8ab^2c^3}{8ab^2c^3}\times 9a^2b^2c^2

                = 9a²b²c²

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anygoal [31]
Hi there!

Since the triangle is equilateral, all of its sides are congruent. This means that to solve, we can set the two given equations equal to each other.

2(x - 8) = 1/2x + 8
2x - 16 = 1/2x + 8
1.5x - 16 = 8
1.5x = 24
x = 16

Now that we know what x is, we can plug that in for x in the equation for ZY.

2(16 - 8) = ZY
ZY = 2(8)
ZY = 16 units

And here is the work to show that XZ is also 16.

1/2(16) + 8 = XZ
XZ = 8 + 8
XZ = 16

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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4 years ago
Jack's mother gave him 505050 chocolates to give to his friends at his birthday party. He gave 333 chocolates to each of his fri
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Is Jack's mom trying to give him diabetes?

Step-by-step explanation:

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3 years ago
A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet.
enyata [817]

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

6 0
3 years ago
What is the value of x?<br>​
GrogVix [38]

Answer:

x=12

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4 years ago
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