Answer:
\[y = (-1/2) * x + 6\]
Step-by-step explanation:
Equation of the given line: y=2x+2
Hence the slope of the line is given by 2
Any line which is perpendicular to the given line will have a slope m such that m*2 = -1
Or, \[m = \frac{-1}{2}\]
Only options 2 and 3 satisfy this condition.
The line is also supposed to pass through the point (6,3).
Substituting these values in the option 2:
\[3 = (-1/2) * 6 + 3\]
Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.
Now substituting (6,3) in option 3:
\[3 = (-1/2) * 6 + 6\]
Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.
Step-by-step explanation:
<u>Step 1: Convert improper fraction into a mixed number</u>
![\frac{7}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B6%7D)
![\frac{6}{6} + \frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B6%7D%20%2B%20%5Cfrac%7B1%7D%7B6%7D)
![1 + \frac{1}{6}](https://tex.z-dn.net/?f=1%20%2B%20%5Cfrac%7B1%7D%7B6%7D)
![1\frac{1}{6}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B6%7D)
Answer: ![1\frac{1}{6}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B6%7D)
Answer:
11
Step-by-step explanation:
There are more than eleven cards in a deck but there can only be one outcome because there are only 11 letters in the word PERSONALITY.
A whole number? ok. 24x10^4. usually though you would use standard form so it would be 2.4x10^5
2(5-n) can be an expression of "twice the difference of 5 and n".