Answer:
1a. Parallel
1b. Parallel
1c. Perpendicular
Step-by-step explanation:
Parallel lines never intersect. This means they have the same slope. Their equations will have the same value for slope in y=mx+b.
Perpendicular lines intersect at 90 degrees. Their slopes are negative reciprocals of each other. If the slope in y=2x+1 is m=2. Then the perpendicular line will be -1/2.
To determine if the lines are perpendicular or parallel, convert each equation to y=mx+b form.
1a. y=5/2 x -3
5x=2y - 4 becomes y=5/2x +2 Parallel
1b. 2x+8y=-24 becomes y=-1/4 x-3
48y=-12x-144 becomes y= -1/4 x-3 Parallel
1c. 2x-7y=-56 becomes y=2/7 x + 8
7x+2y=8 becomes y= -7/2 x + 4 Perpendicular
The first step is to solve (x plus 3) since we use the PEMDAS when solving equations. We go in order of letter. P stands for parentheses which is the first step to solve.
Answer:
y = In | cos(2x + c ) | + c
Step-by-step explanation:
y" + (y')^2 + 4 = 0
substituting u = y'
u' + u^2 + 4 = 0
hence : u' = - (u^2 + 4 )
= 1 ------- (1)
integrating both sides of the equation 1
x + c = hence u = -2 tan(2x + c )
remember u = y'
y' = -2 tan(2x + c) ------ (2)
integrating both sides of the equation 2
y = ∫
therefore Y = In | cosu | + c
y = In | cos(2x + c ) | + c
The answer is 1 3/5.
Hope this helps!
Have a NICE DAY!