Answer:
Step-by-step explanation:
slopes and equations:
find the equation thur ( 6,1 ) and (-2,-3)
find the slope m
m = (y2-y1) / (x2-x1 )
m = (-3 - 1) / (-2 -6)
m = -4 / -8
m = 1/2
now use the point-slope formula with our known slope
y-y1 = m(x-x1)
y-1 = 1/2(x-6)
y - 1 = 1/2x -3
y = 1/2x -3 +1
y =
x -2
Find the equation parallel to y = 3x + 6 and thur (0,1)
Parallel means the same slope, the slope is 3 for the equation above.
use the slope-intercept formula again with the point given and the slope 3
y-1 = 3(x -0)
y - 1 = 3x
y = 3x +1
Find the equations perpendicular to 2x + y = 8 and the same y intercept as 4y = x + 3.
put both equations into proper form
y = -2x +6
y =
x + 
perpendicular means reciprocal slope and change the sign, the 2nd equation has an intercept of
, so
y = 1/2x + 
there you go Amanda :)
Answer:
Domain:
- Solution: -∞ < x < ∞
- Interval Notation: (-∞,∞)
Range:
- Solution: f(x) ≥ 5
- Interval Notation: [5,∞)
Step-by-step explanation:
If 12 = 2y, then y = 6. To solve this kind of equation, whatever you do to one side of the equation, you must do to the other, and it will remain equivalent. If you divide both sides by 2, you get 6 = y. Also, 2 * 6 = 12, a much easier way to find the answer.
Answer:
C. I and II
Step-by-step explanation:
In q1, all trig functions are positive. q2, sin and csc is positve. hope this helps!!