Answer:
Step-by-step explanation:
-4x + 1 = -4x + 1
1 = 1
infinitely many solutions
Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is 
.
We will substitute and 
.
.
This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).
Set up a system of equations and say green route is x and blue route is y
This will give you
Monday 6x + 5y= 52
Tuesday 12x + 13y = 119
Solve by multiplying the top equation by two to get
12x + 10y= 104
Since you have 12x in both equations, these cancel out when you subtract the bottom from the top. This leaves you with
-3y=-15
Y=5
The blue route is 5 miles, but they want to know the green route. Fill in the y value in either one of your equations. Let’s use the one from Tuesday
12x + 13 (5) = 119
12x= 54
X= 4.5
This means that the answer is B, 4.5 miles
Answer:
d X v = m
12.993 X 10.49 = 136.29657
180 - 48 = 132
the answer is d
