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vitfil [10]
3 years ago
11

Which statements are true about the fully simplified product of (b-2c)(-3b c) ?

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

( 3 )The simplified product has a degree of 2.

Step-by-step explanation:

(b-2c)(-3b+c)

Multiply the parenthesis using FOIL method

multiply b inside the second parenthesis

b(-3b+c)= -3b^2 +bc

-2c(-3b+c)= 6bc -2c^2

(-3b^2 +bc+6bc -2c^2)

Combine like terms

-3b^2 +7bc -2c^2

Simplified product has 3 terms, and the degree of 2 because we have b^2

and c^2

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I need helppp please does anyone know this?
Step2247 [10]

Answer:

560m³

Step-by-step explanation:

Cuboid : length = 16, width = 5, height = 4

Prism : base = 16, perpendicular height = 6, height = 5

V = volume cuboid + volume prism

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3 0
3 years ago
The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8,
Damm [24]

Answer:

The common difference = 2.

Step-by-step explanation:

An AP can be written as  a1,  a1 + d,  a1 + 2d,  a1 + 3d,  a1 + 4d,  a1 + 5d, a1 + 6d , a1 + 7d.    

 where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are  a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first  we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d)  =   (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 =  64 + 72d^ + 14d^2

2d^2 - 8d  = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d =  0, 2.

The common difference can't be zero so it must be 2.

3 0
3 years ago
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ZanzabumX [31]

Answer:

False

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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Vsevolod [243]

Answer:

x = 68

Explanation:

⇒ log₈(x - 4) = 2

<u>apply log rules</u>: logₐN = x then N = aˣ

⇒ (x - 4) = 8²

<u><em>simplify</em></u>

⇒ x - 4 = 64

<u><em>add 4 on both sides</em></u>

⇒ x = 64 + 4

<u><em>add the integers</em></u>

⇒ x = 68

4 0
2 years ago
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natita [175]
4.095km = 409.5 hectares
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