Answer:
.
Step-by-step explanation:
If a line passing through two points, then

Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN 
The endpoints of segment AB have coordinates
and
.

.
Slope of AB 




Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1







Therefore, the value of k is
.
Answer:
x=30
Step-by-step explanation:
The two angles are supplementary. They add to 180
4x+20 + 40 =180
Combine like terms
4x+60 =180
Subtract 60 from each side
4x+60-60 = 180-60
4x = 120
Divide each side by 4
4x/4 = 120/4
x = 30
Answer:
4
Step-by-step explanation:
Answer:
When x=4
P(x) =4 - 4(4)^2 + 4(4) -5
=4 - 4(16) + 16 -5
=4 - 64 +11
= -60 + 11
= -49
4 consecutive integers...
x, x + 1, x + 2, x + 3
x + x + 1 + x + 2 + x + 3 = 106
4x + 6 = 106
4x = 106 - 6
4x = 100
x = 100/4
x = 25
x + 1 = 25 + 1 = 26
x + 2 = 25 + 2 = 27
x + 3 = 25 + 3 = 28
ur 4 integers are : 25,26,27,28