Answer: " y = (-3/5)x − 4 " .
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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.
Your answer would be the last option, D.
This is because spinning the spinner does not affect which marble you pick, as these are mutually exclusive events. This means that if the spinner lands on red, you could choose a black or white marble, and if the spinner lands on green you could also choose a black or white marble.
The only sample space that represents this is D because it's the only one that includes both black and white options after spinning red and green.
I hope this helps!
Answer: yes they are
Step-by-step explanation:
