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Given:Ranger Station to Nature Center = 90°Nature Center to petting zoo = 40°Petting Zoo to Tennis Court = 120°Tennis Court to Pool = 65°Pool to Ranger Station = 45°radius = 1 mile
arc length = 2πr angle/360°
Ranger station to nature center.
arc length = 2 * 3.14 * 1 mile * 90°/360°arc length = 2 * 3.14 * 1 mile * 0.25arc length = 1.57 miles
Nature center to Petting Zoo
arc length = 2 * 3.14 * 1 mile * 40°/360°arc length = 2 * 3.14 * 1 mile * 0.11arc length = 0.70 miles
1.57 miles + 0.70 miles = 2.27 miles or 2.3 miles CHOICE B
The solution of the linear equations will be ( -2, 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are:-
Solving the equations by elimination method:-
2x +3y = 8
3x+y= -2
Multiply the second equation by 3 and subtract from the first equation.
2x +3y = 8
-9x -3y = 6
----------------
-7x = 14
x = -2
Out of the value of x in any one equation, we will get the value of y.
3x+y= -2
3 ( -2) + y = -2
-6 + y = -2
y = 4
The graph of the equations is also attached with the answer below.
Therefore the solution of the linear equations will be ( -2, 4).
The complete question is given below:-
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.
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brainly.com/question/2972832
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Answer:
<h2>Midpoint (1 , 5)</h2>
Step-by-step explanation:
Let (x , y) be the coordinates of the midpoint then:

Average speed = (total distance) / (total time)
Average speed = (192 km) / (8 hours) = 24 km per hour .
We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.
We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b
To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.
7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5
So, the y-intercept will be at 6 2/5.