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Airida [17]
3 years ago
10

Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

a-b  divided into a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

sign between the two cubes

Step-by-step explanation:

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Solve for m 18m-13m=25 m=
sveta [45]

Answer:

m=0

Step-by-step explanation:

5 0
3 years ago
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The ratio of solid beads to clear beads in a vase is 820. Select all the correct statements that tell if the operations will giv
Tatiana [17]

Answer:

C, D and E

Step-by-step explanation:

Given

Represent solid beads with S and clear beads with C

So:

S:C = 8:20

Required

Select operations that give an equivalent ratio

First, we need to get the unit ratio

S:C = 8:20

Divide through by 4

S:C = 2:5 -- This means that, after any operation. The equivalent ratio must be 2: 5

Option A: Add 2 to S and 2 to C

S:C = 8:20

Perform the operation

S:C = 8 + 2 : 20 + 2

S:C = 10 : 22

Divide through by 2

S:C = 5:11

Option B: Subtract 8 from S and 6 from C

S:C = 8:20

Perform the operation

S:C = 8 - 8 : 20 - 6

S:C = 0 : 14

Option C: Multiply S and C by 2

S:C = 8:20

Perform the operation

S:C = 8*2:20*2

S:C = 16:40

Divide through by 8

S:C = 2:5

Option D: Divide S and C by 4

S:C = 8:20

Perform the operation

S:C = 8/2:20/4

S:C = 2:5

Option E: Multiply S and C by 18

S:C = 8:20

Perform the operation

S:C = 8*18:20*18

S:C = 144:360

Divide through by 72

S:C = 144/72:360/72

S:C = 2:5

<em>From the calculations above, options C, D and E gave an equivalent of 2:5.</em>

5 0
3 years ago
If​ possible, complete the equation below that uses the law of cosines to find the remaining side of the triangle.
romanna [79]

Answer:

Option C.

a = 20.3

Step-by-step explanation:

Given:

m<A = 32°

a = ??

b = 16

c = 32

Required:

Find a

SOLUTION;

To find the missing side, a, of the triangle, apply the Law of Cosines, a^2 = b^2 + c^2 - 2bcCosA

Plug in the values into the equation:

a^2 = 16^2 + 32^2 - 2(16)(32)Cos32

a^2 = 1,280 - 1,024*Cos32

a^2 = 1,280 - 868.40125

a^2 = 411.59875

a = \sqrt{411.59875}

a = 20.3 (nearest tenth)

4 0
3 years ago
Put these numbers in order 55, 52, 46, 52, 46, 43, 49, 56, 42
Sphinxa [80]

Answer: 55

Step-by-step explanation:

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3 years ago
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Find the measure of DE.<br> 2x+7 4(x-3)
Masja [62]

Answer:

x=1

Step-by-step explanation:

ktftyk

6 0
2 years ago
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