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tia_tia [17]
3 years ago
15

Bob is training for a race. Bob ran 14.6 miles away from his home. Then, Bob ran 9.8 miles towards his home. Finally, bob ran 5.

3 miles away folrom his home. How far is Bob from his home?
Mathematics
1 answer:
melisa1 [442]3 years ago
7 0
14.6-9.8 equals 4.8. , 4.8 plus 5.3 equals 10.1
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Drag the tiles to the boxes to form correct pairs.
FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0
3 years ago
Three dentists wanted to compare the ages of their patients. They each calculated their patients’ mean age and the mean absolute
Alexus [3.1K]
Dr. Appiah’s patients’ ages vary less than do Dr. Singh’s patients’ ages.


GARBAGE DAY!
3 0
3 years ago
Read 2 more answers
What is the fraction twelve twentieths in its simplest form
Alla [95]
You mean \frac{12}{20} or \frac{20}{12} ?

If you had meant, \frac{12}{20}, then the simplest form of this fraction would be - \frac{3}{5}

Divide both parts of the fraction by 4, and you get \frac{3}{5}the simplest form of the fraction.
Finding out the simplest form of a given fraction is nothing else than cancelation.

Flop it, you have with you - \frac{20}{12}
Flop the simplest form of the previous fraction, that's \frac{5}{3}

If you had meant \frac{20}{12}, then this will certainly be of any use to you.

HOW TO UNDERSTAND THAT THE FRACTION IS IN ITS SIMPLEST FORM?
Maybe, you are just simplifying and simplifying...but you don't even know when to stop. You can understand whether a fraction is in its simplest form or not by seeing that the numerator and the denominator have a common factor to divide it by, or not.

For instance, consider the case here - \frac{3}{5} or \frac{5}{3}<span>. We can't divide it any further. So, we know that it is in its simplest form.
</span>
L O N G Process:
Well, if you want to divide it by the smallest common factor to its larger, then --
\frac{12}{20} or \frac{20}{12}

1) 
Divided by 2 = \frac{6}{10} or \frac{10}{6}

2) 
Next, also by 2 = \frac{3}{5} or \frac{5}{3}

That took much longer, right.
<span> So, it is more preferable to divide the fraction by the possible largest common factor, you can guess of.</span>

3 0
3 years ago
Read 2 more answers
X^2 + 1/4 or 7 or 7/2 x + 49
wolverine [178]

Answer:

14

Step-by-step explanation:

Squaring a number (a+b) for example is a^2+2ab+b^2. So you square root x^2 and 49, you get x and seven respectively. you multiply them together and on top of that multiply the product by 2. so 7x*2 is 14x and ye

7 0
3 years ago
Read 2 more answers
I need help.. PLEASE HELP ME WITH SOME QUESTIONS I HAVE ON ALGEBRA
alukav5142 [94]
Okay post them 1 at a time
5 0
3 years ago
Read 2 more answers
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