Answer:
Step-by-step explanation:
The formula of a slope:
We have the points
Substitute:
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:
152.6
Step-by-step explanation:
You're welcome :P
Answer:
X equals negative 11
Step-by-step explanation:
The angles in a triangle add up to be 180 degrees, and we already have 80 as one angle and 60 as the other. That equals 140 degrees. But now we have x+51. That would equal 191 degrees, so 191-180=11, so x= -11
Answer:
x = 2
Step-by-step explanation:
From the question we are given the algebraic sign with the Inequality sign
95 - 2x < 7 (15x - 17)
In order to find all the possible values of x that makes the algebraic expression true ,
We solve for this by convert the less than(<) sign to =
A true statement or algebraic expression is when both values on the left hand side and right hand side of and algebraic expression is the same of equal to each other.
Therefore:
95 - 2x = 7 (15x - 17)
95 - 2x = 105x - 119
Collect like terms
95 + 119 = 105x + 2x
214 = 107x
x = 214/107
x = 2
In other to confirm if x = 2 makes the expression true
95 - 2x = 7 (15x - 17)
95 - 2x = 105x - 119
95 - 2 × 2 = 105 × 2 - 119
95 - 4 = 210 - 119
91 = 91
Therefore, the possible values for x that make the statement true is x = 2
