Answer:
x > 2
Step-by-step explanation:
Answer:
First one: yes
Second one: yes
Third one: no
Step-by-step explanation:
To find the midpoint of a line segment, you take the x and y coordinates of the 2 points, add each of them up, and divide each of them by 2.
First one: x = (1+3)/2 = 2, y = (2+4)/2 = 3, so it's correct.
Second one: x = (-1+3)/2 = 1, y = (1+-1)/2 = 0, so it's correct.
Third one: x = (-3+-1)/2 = -2, y = (0+5)/2 ≠ 2, so it's not correct.
I really hope this helped.
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:
1/14
Step-by-step explanation:
P(red, then black) = 
· 
= 
= 
(simplifed form)
