Answer:
adjacent angles
Step-by-step explanation:
they all touch
Dy/dx=1/2, 1/2, 1/2 etc
So this is a linear equation of the form y=mx+b where m=dy/dx=1/2 so
y=x/2 +b, now we can use any point to solve for the y-intercept, "b", I'll use (7,0)
0=7/2 +b
b=-7/2 so
y=x/2-7/2
y=(x-7)/2
Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
Answer:
y = 3x - 9
Step-by-step explanation:
We first need to find the slope (m)
m =
=
=
= 3
y = mx + b
y = 3x + b
(4, 3)
y = 3x + b
3 = 3(4) + b
3 = 12 + b
-12 -12
-9 = b
(1, –6)
y = 3x + b
-6 = 3(1) + b
-6 = 3 + b
-3 -3
-9 = b
y = 3x - 9
To check: (1, –6)
y = 3x - 9
-6 = 3(1) - 9
-6 = 3 - 9
-6 = -6
Hope this helps!