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Goshia [24]
3 years ago
10

What are the steps to this problem (and the answer?)

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:

(25 {x}^{2}  + 20xy + 16 {x}^{2} )(5x - 4y) =  \\ 125 {x}^{3}  + 100 {x}^{2} y + 80x {y}^{2}  - 100 {x}^{2} y  \\ - 80x {y}^{2}  - 64 {y}^{3}  =  \\ 125 {x}^{3}  - 64 {y}^{3}  \\ please \: give \: brainliest

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A pair of in-line skates is on sale for $90 if this price represents a 9% discount on the original price what is the original pe
UkoKoshka [18]
1 + 0.09 = 1.09

90 * 1.09 = 98.1

The original price of the in-line skates was $98.1
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How to determine if a graph is symmetrical
Lisa [10]

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If you fold it in half.

Step-by-step explanation:

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Please help I need to get this done
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Your answer is drawn in the picture.

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3 0
2 years ago
5. If position of object x = 3 sinΘ – 7 cosΘ then motion of object is bounded between position.​
lesya692 [45]

9514 1404 393

Answer:

  ±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

  |x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

  sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

  A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

  A·cos(c) = 3   and   A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

  (A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

  x = A·sin(θ +c) . . . . for some angle c

  x = (√58)sin(θ +c)

This has the bounds ±√58.

3 0
3 years ago
Find the smallest zero for the function h(x) = 4x^2 - 8x - 60
Leto [7]
Note that h(x) = 4x^2 - 8x - 60 factors to 4(x^2 - 2x - 15), and that the roots (zeros) of (x^2 - 2x - 15) are -5 and +3.  Thus, the smallest zero is -5. 
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3 years ago
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