Answer:(-2,0)
Step-by-step explanation:
Answer:
4= 2/.5
9= 3/![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Plug them into a calculator if you want to confirm.
As long as both lines are rotated the same amount, then the lines will ALWAYS remain parallel. so C
Answer: ![-1\frac{29}{35}](https://tex.z-dn.net/?f=-1%5Cfrac%7B29%7D%7B35%7D)
Step-by-step explanation:
![\frac{-3\frac{1}{5} }{1\frac{3}{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B-3%5Cfrac%7B1%7D%7B5%7D%20%7D%7B1%5Cfrac%7B3%7D%7B4%7D%20%7D)
Convert the mixed number in the denominator to an improper fraction by multiplying the big number times the denominator and adding the numerator.
![(1*4)+3=?\\4+3=7](https://tex.z-dn.net/?f=%281%2A4%29%2B3%3D%3F%5C%5C4%2B3%3D7)
Leave the same denominator.
![\frac{7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%7D)
Let's do the same with the fraction in the numerator.
![-3\frac{1}{5}=\frac{-(3*5+1)}{5} =\frac{-(15+1)}{5} =\frac{-16}{5}](https://tex.z-dn.net/?f=-3%5Cfrac%7B1%7D%7B5%7D%3D%5Cfrac%7B-%283%2A5%2B1%29%7D%7B5%7D%20%20%3D%5Cfrac%7B-%2815%2B1%29%7D%7B5%7D%20%3D%5Cfrac%7B-16%7D%7B5%7D)
Our new division is;
![\frac{-\frac{16}{5} }{\frac{7}{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Cfrac%7B16%7D%7B5%7D%20%7D%7B%5Cfrac%7B7%7D%7B4%7D%20%7D)
Now, to get rid of the fraction in the denominator, multiply by the reciprocal fraction. The reciprocal is the inverted fraction.
If our fraction is
the reciprocal is ![\frac{4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D)
![\frac{-\frac{16}{5} }{\frac{7}{4} }*\frac{4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Cfrac%7B16%7D%7B5%7D%20%7D%7B%5Cfrac%7B7%7D%7B4%7D%20%7D%2A%5Cfrac%7B4%7D%7B7%7D)
This eliminates the denominator.
![-\frac{16}{5}*\frac{4}{7}](https://tex.z-dn.net/?f=-%5Cfrac%7B16%7D%7B5%7D%2A%5Cfrac%7B4%7D%7B7%7D)
![-\frac{16*4}{5*7} =-\frac{64}{35}](https://tex.z-dn.net/?f=-%5Cfrac%7B16%2A4%7D%7B5%2A7%7D%20%3D-%5Cfrac%7B64%7D%7B35%7D)
Now convert this fraction to a mixed number by dividing.
64/35=1
35
-------
29
-------------------------------------------
1 is the big number, 29 the numerator and 35 the denominator.
Do not forget about the negative sign in front of it.
![-1\frac{29}{35}](https://tex.z-dn.net/?f=-1%5Cfrac%7B29%7D%7B35%7D)
1. Integers numbers are defined as the set of numbers that is formed by Positive numbers, which are also called "Natural numbers"; Negative numbers (They are less than zero) and zero (This has no sign). This set is represented with the letter "Z". Therefore: Z={...-2, -1, 0, 1, 2 ...}.
2. So, if 12 is added to the square of a positive integer, you can write the following the expression:
12+x²=133
3. You can obtain the value of the positive integer "x", by clearing it. Then, you have:
12+x²=133
x²=133-12
x=√(133-12)
x=√121
x=11
Therefore, the positive integer is: 11