Answer:
2x + y = 2
Step-by-step explanation:
y = -2x + b
-4 = -2(3) + b
-4 = -6 + b
2 = b
y = -2x + 2
2x + y = 2
1. 2x + 50 = 100
subtract 50 on both sides and then divide by 2.
x = 25
180 - 100 = 80
m
2. 7x - 4 = 87
add 4 on both sides and divide by 7.
x = 13
180 - 87 = 93
m
3. 5x - 2 = 38
add both sides by 2 and divide by 5.
x = 8
180 - 38 = 142
m
4. 14 + 6x = 134
subtract both sides by 14 and divide by 6.
x = 20
180 - 134 = 46
m
5. x = 53
m
6. x = 14
m
Answer:
Perpendicular
Step-by-step explanation:
Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.
Perpendicular means that both lines are reciprocal to each other. This means the perpendicular condition is or satisfies 
We have m1 = -4/3 and m2 = 3/4.
Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.
20 buttons in total
Because he has
5 white buttons
2 fewer brown
5-2 =3
So 3 brown
9 more gray than brown
3+9 = 12
12 gray buttons
5+3+12=20
In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN.
The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
LN + LM = MN
We are given with the lengths of the smalller segments and substituting the known values,
MN = 54 + 31
MN = 85
<em>ANSWER: MN = 85</em>
