a: -2x+1
b: no solution
c: x=0
d: x=1/2 (x=0.5 in decimal form)
If reflected over y = x
<u>then use</u>
<u />![\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
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![\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%266%263%5C%5C-3%263%263%5Cend%7Barray%7D%5Cright%5D)
similar as (x, y) → (y, x)
<u>multiply the matrixes to get the final answer</u>
![\left[\begin{array}{ccc}(3*0+1*-3)&(6*0+1*3)&(3*0+1*3)\\(3*1+(-3*0)&(1*6+0*3)&(1*3+0*3)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%283%2A0%2B1%2A-3%29%26%286%2A0%2B1%2A3%29%26%283%2A0%2B1%2A3%29%5C%5C%283%2A1%2B%28-3%2A0%29%26%281%2A6%2B0%2A3%29%26%281%2A3%2B0%2A3%29%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%263%263%5C%5C3%266%263%5Cend%7Barray%7D%5Cright%5D)
It would be 2.1 hours or about 2 hours.
It says the train travels about 2118 miles per 8 miles. So, divide 2118 by 8, which gives you 264.75 (when you see the word PER it usually indicates to divide). That gives you part A.
Then, you divide 560, (which is t<span>he distance between Columbus, Ohio, and New York) by 264.75 to see how many hours it took, which gives you 2.1152030217...., which simplifies to 2.1. Which gives you the answer for B.
So,
A is 560 and
B is 2.1 or 2
</span>
<span>10.1, 20.1 ,
30.1 are the decimal where the value of digit 1/10 had existed.</span>
<span>“Decimal”
comes from the Latin root decem, which simply means “ten.” The
number system we use is called the decimal
number system, because the place value units go in tens: you have ones,
tens, hundreds, thousands, and so on, each unit being 10 times the previous
one.</span>
In common language, the word
“decimal number” has come to mean numbers which have digits after the decimal
point, such as 5.8 or 9.302. But any number within the decimal number system
could be designate a decimal number, involve whole numbers such as 12 or 381.
<span>A Decimal Number (<span>based on the number 10</span>) contains a Decimal Point.</span>
<span>Here is the number "forty-five and six-tenths" written as
a decimal number:</span>
The decimal point goes between Ones and
Tenths.
45.6 has 4 Tens, 5 Ones and 6
Tenths, like this:<span>40+5+6/10</span>
Light travels at 300,000,000 meters/second. It is calculated as 3 x 10^8.
Earth is 3.99 x 10^16 meters away.
I used the formula (3.99 x 10^16) divided by 300,000,000.
The answer is 133,000,000 seconds
