Answer:
13.2 miles
Step-by-step explanation:
To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.
(5.5 + 3.5)² + b² = 15²
9² + b² = 15²
81 + b² = 225
b² = 144
b = 12
Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).
5.5² + 12² = c²
30.25 + 144 = c²
174.25 = c²
13.2 ≈ c
Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.
Answer:
The first set is a set of linear equations.
The way to figure this out is pretty easy. If you want to see it visually, go search up desmos graphing calculator and put in these equations.
A linear equation is a function that has a constant slope, meaning that the rate it increases or decreases will never change. The first one is a set of linear equations because it is 2 equations with constant slopes, meaning that the slopes will never change no matter what y and x are.
The second set is not, because while the first equation is linear, the second is an inequality. While it is a straight line, it doesn't count as a linear equation.
The third set, both equations have exponents on the x, which means that the slope will change depending on x. This means that both of these are not linear equations.
The only set that is a linear set is the one that has only linear equations.
Answer:
In assumption, x is the smaller even integer and x+2 is the next so it will be larger.
The integers are 4 and 6
Step-by-step explanation:
Let the two consecutive even integers be x and x+2
Here x is the smaller even integer and x+2 is the next so it will be larger.
Now according to the given statement
Sum of both: 
difference of 3 times the larger & 2 times the smaller:
Putting the sum and difference equal:
Solving the equation
The next integer will be:
Hence,
In assumption, x is the smaller even integer and x+2 is the next so it will be larger.
The integers are 4 and 6.
Answer:
y =5/3x - 8
Step-by-step explanation:
5x - 3y = 24
-3y = -5x + 24
y = 5/3x - 8
The answer is D
Hope this helps
