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seropon [69]
3 years ago
8

What is the GCF of 96x5 and 64x2? 32x 32x2 32x3 32x5

Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0
The answer to your question would be 32x^2
AveGali [126]3 years ago
6 0

Answer:

32x^2

Step-by-step explanation:

We have to find the GCF of the expressions 96x^5\text{ and }64x^2

We can write the terms in factored form as shown below

96 = 32 × 3

64= 32 × 2

x^5 = x^2× x^3

On replacing terms with these values, we get

32\times3\times x^2\times x^3\text{ and }32\times2\times x^2

Now, we see the common term in these two expression. That would be the GCF.

The common term is 32x^2

Hence, GCF is 32x^2

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 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
vodka [1.7K]

Given:

\sin x=-\dfrac{15}{17}

x lies in the III quadrant.

To find:

The values of \sin 2x, \cos 2x, \tan 2x.

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

\sin^2 x+\cos^2 x=1

(-\dfrac{15}{17})^2+\cos^2 x=1

\cos^2 x=1-\dfrac{225}{289}

\cos x=\pm\sqrt{\dfrac{289-225}{289}}

x lies in the III quadrant. So,

\cos x=-\sqrt{\dfrac{64}{289}}

\cos x=-\dfrac{8}{17}

Now,

\sin 2x=2\sin x\cos x

\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})

\sin 2x=-\dfrac{240}{289}

And,

\cos 2x=1-2\sin^2x

\cos 2x=1-2(-\dfrac{15}{17})^2

\cos 2x=1-2(\dfrac{225}{289})

\cos 2x=\dfrac{289-450}{289}

\cos 2x=-\dfrac{161}{289}

We know that,

\tan 2x=\dfrac{\sin 2x}{\cos 2x}

\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}

\tan 2x=\dfrac{240}{161}

Therefore, the required values are \sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}.

7 0
3 years ago
On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
AlekseyPX

Answer:

89.88 gallons of milk

Step-by-step explanation:

97.88-8=89.88

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4 years ago
Point B is a point of tangency. Find the radius r of OC.<br> А 9<br> B<br> r<br> n
insens350 [35]

Answer:

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Step-by-step explanation:

From the given diagram,

AB = 9

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collecting like terms,

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Which graph represents <br> y= -2x?
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