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2 years ago

What is the factored form of the expression 144x2 - 49?

Mathematics

2 answers:

PIT_PIT [208]2 years ago

6 0

Answer:

Step-by-step explanation:

Difference of squares: (a^2 - b^2) = (a - b)(a + b)

(144x^2 - 49) = (12x - 7) (12x + 7)

Nutka1998 [239]2 years ago

6 0

Answer:

A. (12x - 7) (12x + 7)

Step-by-step explanation:

144x^2 - 49

Rewriting

(12x)^2 - 7^2

Recognizing this is the difference of squares

a^2 - b^2 = ( a-b) (a+b)

( 12x-7) (12x+7)

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Increase 220 by 15% please

rjkz [21]

Lets do this step by step.

1st.) what is 15% as a decimal
15% = 0.15

2nd.) multiply
220 x 0.15 = 33

3rd) we add that 33 and 220 since this its asking for the increase
220 + 33 = 253

Answer = 253

6 0

2 years ago

4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

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2 years ago

What are Pythagorean triplets?Write five examples

Dmitry_Shevchenko [17]

Answer:

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Step-by-step explanation:

take

5501

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What is equivalent to 4:3

kap26 [50]

Answer:

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Step-by-step explanation:

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