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galina1969 [7]
4 years ago
5

Which expression is equal to 2x^2+2x−40/4x^2−12x−16 ⋅ 3x^2−3/x^2−5x

Mathematics
1 answer:
Leokris [45]4 years ago
4 0

Answer:

  3(x−1)(x+5)/(2x(x−5))

Step-by-step explanation:

In general simplifying something like this requires you factor the various polynomials to see what factors may cancel.

  \dfrac{2x^2+2x-40}{4x^2-12x-16}\cdot\dfrac{3x^2-3}{x^2-5x}=\dfrac{2(x-4)(x+5)\cdot 3(x-1)(x+1)}{4(x-4)(x+1)\cdot x(x-5)}\\\\=\dfrac{3(x-1)(x+5)}{2x(x-5)}

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Verify sin^4x-sin^2x=cos^4x-cos^2x is an identity
lara [203]

ANSWER

See below

EXPLANATION

We want to verify that,

{ \sin ^{4} x}  -  { \sin^{2} x} = { \cos ^{4} x}  -  {  \cos^{2} x}

To verify this identity, we can take the left hand side simplify it to get the right hand side or vice versa.

{ \sin ^{4} x}  -  { \sin^{2} x} =( { \sin ^{2} x} )^{2} -  { \sin^{2} x}

{ \sin ^{4} x}  -  { \sin^{2} x} ={ \sin ^{2} x}({ \sin ^{2} x}  - 1)

{ \sin ^{4} x}  -  { \sin^{2} x} ={ \sin ^{2} x} \times  - (1 - { \sin ^{2} x})

{ \sin ^{4} x}  -  { \sin^{2} x} =({1 -  \cos^{2} x} )\times  - ({ \cos^{2} x})

{ \sin ^{4} x}  -  { \sin^{2} x} =({ \cos^{2} x} - 1 )\times  ({ \cos^{2} x})

We now expand the right hand side to get:

{ \sin ^{4} x}  -  { \sin^{2} x} = { \cos ^{4} x}  -  {  \cos^{2} x}

5 0
3 years ago
Which line is perpendicular to y=2x+5?
mezya [45]
Y = mx + n

m = Slope

To two lines be perpendicular to each other the slopes need to meet the condition: ma x mb = -1

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D: y = -1/2x + 5
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ma x mb = -1

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2/1 x -1/2 = -1
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It's true.

Answer: D.
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4 years ago
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Setler79 [48]

Answer:

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Step-by-step explanation:

3 0
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There are fewer than 30 students in the A-level mathematics class. One half of them
masya89 [10]

The number of students that play hockey is 7

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School\ Play =\frac 17

The total number of students must be a multiple of 2, 4 and 7 less than 30;

The only multiple of 2, 4 and 7 less than 30 is 28.

The number of students that play hockey is the product of 28 and the proportion that plays hockey.

So, we have:

Hockey =\frac 14 \times 28\\

Multiply

Hockey =7

Hence, 7 students play hockey

Read more about common multiples at:

brainly.com/question/290451

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3 years ago
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
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Answer:

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