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Lemur [1.5K]
3 years ago
12

Please help. Wrong answer will be reported

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

top:

(2x - 3y)^2

= 4x^2 - 12xy + 9y^2

bottom:

(3y - 2x)^2

= 9y^2 - 12xy + 4x^2

= 4x^2 - 12xy + 9y^2 (same as top)

so

(4x^2 - 12xy + 9y^2) / ( 4x^2 - 12xy + 9y^2) = 1

Ava is not correct. If you look at the denominator on her work:

[-(2x – 3y)]^2

= [(-1 )(2x – 3y)]^2

= (-1)^2 (2x – 3y)^2

= (2x – 3y)^2

so (2x – 3y)^2 / (2x – 3y)^2 = 1

The correct answer is 1

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What is the product of 9 and -7?
kolezko [41]

Answer:

The product of 9 and -7 is -63

Step-by-step explanation:

Hope This Helped!

3 0
3 years ago
When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 973 co
HACTEHA [7]

Answer:

A. number of decayed atoms = 73.197

Step-by-step explanation:

In order to find the answer we need to use the radioactive decay equation:

N(t)=N0*e^{kt} where:

N0=initial radioactive atoms

t=time

k=radioactive decay constant

In our case, when t=0 we have 1,000,000 atoms, so:

1,000,000=N0*e^{k*0}

1,000,000=N0

Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:

973,635=1,000,000*e^{k*365}

ln(973,635/1,000,000)/365=k

-0.0000732=k

A. atoms decayed in a day:

N(t)=1,000,000*e^{-0.0000732t}

N(1)=1,000,000*e^{-0.0000732*1}

N(1)= 999,926.803

Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197

B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.

4 0
3 years ago
6 1⁄3 + 7 1⁄4 – 2 1⁄2 =
Korvikt [17]

Answer:

11 1/12

Step-by-step explanation:

6 1/3 = 19/3

7 1/4 = 29/4

2 1/2 = 5/2

19/3 + 29/4 - 5/2


We must find the LCM of 3, 4, and 2. This happens to be 12

3*4 = 12

4*3 = 12

2*6 = 12

Multiply each fraction by the factor that'll get it to 12.


19/3 * 4/4 = 76/12

29/4 * 3/3 = 87/12

5/2 * 6/6 = 30/12

Now go through the problem


76/12 + 87/12 - 30/12

76 + 87 = 163

163/12 - 30/12

163 - 30 = 133

133/12

Simplify

133/12 = 11.0833... or 11 1/12


Hope this helps.

6 0
3 years ago
Simplify 36x^2/64x^2y
aniked [119]

Answer:  3/4

Step-by-step explanation:

1. square root the denominator and nominator, 36= 6 and 64= 8

2. put them together (6/8)

3. simplify 6/8

4. 6/8 divided by 2

5. 3/4 is your answer

3 0
3 years ago
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The answer is D, I'm 95% sure, double check just in case
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3 years ago
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