<span>4x + 3y = 16
7x + 6y = 31
Note what happens if we mult. the first eqn. by -2:
-8x - 6y = -32
Combining this with the 2nd equation eliminates the variable y:
</span>-8x - 6y = -32<span>
7x + 6y = 31
--------------------
-x = -1, or x = 1. Sub 1 for x in either of the 2 given eqns to find y:
For example: 4(1) + 3y = 16, so 36 = 12, and y = 3. Sol'n is (1,3).</span>
You can set this up as 2 fractions equal to each other, like ratios.
18/11=108/x
Cross multiply and you get 18x=1,188
Now divide both sides by 18 and get x.
x=66.
If the height of the building is 108ft, the width is 66ft.
For the answer to the question above,
2x^4 + 22x^3 + 60x^2
<span>GCF: 2x^2 </span>
<span>2x^2(x^2 + 11x + 30) =
So the following factor for the problem above is
2x^2(x + 6)(x + 5)
</span>
If you want to double check, just multiply the answer.
I hope my answer helped you.
The total number of handshakes was 234.
- The first man shook hands with 12 other men.
- The second man shakes hands with 11 other men, as he had already shaken hands with the first man.
- Like-wise, the last man does not need to shake hands again as every man has already shaken hands with him in their respective turns.
- The number of handshakes among men is 0 + 1 + 2 + … + 12.
- The sum of "n" natural numbers = (n)(n+1)/2
- The number of handshakes among men is 12(13)/2.
- The number of handshakes among men is 78.
- Each man shakes hands with every woman except his spouse.
- Each man shakes hands with 12 other women.
- The number of handshakes between men and women is 13*12.
- The number of handshakes between men and women is 156.
- The total number of handshakes is 78 + 156.
- The total number of handshakes is 234.
To learn more about natural numbers, visit :
brainly.com/question/17429689
#SPJ4
