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Ivanshal [37]
1 year ago
15

Is it always true that (x+4) squared equals x squared plus 16?

Mathematics
2 answers:
galben [10]1 year ago
6 0

Answer:

True

Step-by-step explanation:

(x + 4)² = (x + 4) (x + 4)

x² + 4² = x² + 16

mote1985 [20]1 year ago
6 0

Hello.

No, (x+4)² doesn't equal x²+16.

Let's see why.

Remember that

x times x = x²

4 times 4 = 4²=16

So it seems like (x+4)² is equal to x²+16.

However,

(x+4)²≠x²+16.

Well, what IS that equal to?

Turns out that

(x+4)² is equal to x² + twice the product of x and 4 +16 (!)

(x+4)²=x²+2*4*x+4²

(x+4)²=x²+8x+16

Therefore, (x+4)²=x²+8x+16.

I hope it helps.

Have an outstanding day. :)

\boxed{imperturbability}

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3 years ago
The mass of the Earth is 5.972x10^24 kg. the mass of the moon is 7.3 x 10^22kg. find the total mass, in kg, of the Earth and the
torisob [31]

Answer:

6045000000000000000000000 kg.

Step-by-step explanation:

We have been given that the mass of Earth is 5.972\times10^{24} kg. The mass of the Moon is 7.3\times10^{22} kg.

To find the total mass we will add mass of Earth and Moon.

First of all let us convert the given masses in standard form.

5.972\times10^{24}=5972000000000000000000000  

7.3\times10^{22}=73000000000000000000000

5.972\times10^{24}+7.3\times10^{22}  

5972000000000000000000000+73000000000000000000000

6045000000000000000000000

Therefore, the mass of Earth and Moon is 6045000000000000000000000 kg.

8 0
2 years ago
A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of sta
lions [1.4K]

Answer:

Approximately 24–36 pounds

Step-by-step explanation:

Given:

Weight of standard American Eskimo dog has mean= 30 pounds

A standard deviation= 2 pounds

For 99.7% of the dogs according to normal distribution would lie between 3 standard deviations on either side of the mean.

i.e. lower bound= Mean- 3 (standard deviation)

= 30-3(2)

=30-6

=24

Upper bound = Mean +3 (standard deviation)

= 30+3(2)

=30+6

=36

Hence the range of weights : 24-36 pounds

correct answer Approximately 24–36 pounds!

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3 years ago
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Step-by-step explanation:


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