First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
Answer:
4.3
Step-by-step explanation:
first round
3.296 is 3.3
0.9785 is 1
3.3 + 1 = 4.3
Answer:
66.666667%
Step-by-step explanation:
Answer: Answer
Step-by-step explanation: What do you mean by simplify?
Answer:
400 ft
Step-by-step explanation:
h(t)= -16t^2 + 160t
The vertex is found at
h = -b/2a where b is the coefficient of t and a is the coefficient of t^2
= -160/(2*-16)
-160/-32
5
The time where the maximum occurs is at t=5
To find the maximum substitute into the function
h(5) = -16 (5)^2 +160*5
= -16*25 +800
=-400+800
= 400
The maximum height is 400 ft
