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.
Answer:
Multiply the first fraction by 
Multiply the second fraction by 
Step-by-step explanation:
Given

Required
Make the denominator equal

Factorize the denominator


Multiply the first fraction by 
Multiply the second fraction by 



<em>The expression now have the same denominator</em>
It is not because always remember, a positive is greater than a negative. This equation is showing a negative being greater than a positive. That's like saying I'm taller than you.
Answer: C
<u>Step-by-step explanation:</u>
1. DOF and GOH are vertical angles 1. Given
2. m∠DOF = m∠GOH 2. Vertical Angles Theorem
3. ∠DOF = 58° 3. Given
4. 58° = m∠GOH 4. Substitution
He right its 2/5 I took the yes to