The answer is A) shifts right by 9 units
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:
x ≤ 22
Step-by-step explanation:
≤ means less than or equal to
≥ means greater than or equal to
Step-by-step explanation:
-10-2x = 3x+15
5x = -25
x= -5
Answer:
The sum of a° and b° will be 180°.
Step-by-step explanation:
We know that two angles are supplementary when they add up to 180 degrees.
We also know that we know that a straight angle is said to be having 180 degrees. A straight angle does change the direction to point the opposite way.
i.e.
Straight angle = 180°
For example, a flat surface does have an angle of 180 degrees. Also, a straight stick does have a straight angle or 180 degree.
So, from the figure, the sum of a° and b° will be 180° as they add up to 180 degrees on a straight line and hence a° and b° are supplementary angles.
Therefore, the sum of a° and b° will be 180°.
