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Anna71 [15]
3 years ago
11

Factor 125x3 + 343y3

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b² )

125x³ = (5x)³ ⇒ a = 5x

343y³ = (7y)³ ⇒ b = 7y

125x³ + 343y³

= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)

= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form

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NikAS [45]

we can factor the whole thing:

(2sin(x) -1)(sin(x)+1) = 0.

Therefore, sin(x) = -1 and sin(x) = 1/2.

For the first one x = 3π/2 and the second is π/6 and 5π/6

So 3π/2, π/6 and 5π/6 are the solutions.

I do kind of have a problem with this because it doesn't mention if you should go over 360°. Otherwise, you have to add in an 2nπ into the equations like 3π/2 + 2nπ; n \in \mathbb{W}

but I don't know if that is necessary for you.

3 0
3 years ago
Lines sand tare perpendicular. If the slope of line sis 5, what is the slope of<br> line t?
Sveta_85 [38]

Answer:

  -1/5

Step-by-step explanation:

Perpendicular lines have slopes that are the opposite reciprocal of one another.

The slope of line t is the opposite reciprocal of the slope of line s:

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6 0
3 years ago
Which is smaller half of 36 or one seventh of 42
lyudmila [28]
1/7 of 42 is smaller. 47/7= 6 < 18 = 36/2
4 0
3 years ago
Fine the equivalent expression 4^-5
Novay_Z [31]

Answer:

1/1024

Step-by-step explanation:

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1/1024

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natta225 [31]

Answer:

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Step-by-step explanation:

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