Answer:
LEAST DIFFICULT: B
MOST DIFFICULT: I
Step-by-step explanation:
LEAST DIFFICULT:
The easiest systems of equations to solve are ones in which x or y is equal to just a number , because in this case, you can just sub in that number in the other equations. Though not the only one, B is an example of this.
MOST DIFFICULT:
More difficult systems of equations to solve are the ones with different amounts of x and y as it requires more computation. Set I is an example of this
X^2 + 10x + 11 = 0
x^2 + 10x = -11
x^2 + 10x + 25 = -11 + 25
(x + 5)^2 = 14 <===
x + 5 = (+-) sqrt 14
x = -5 (+-) 3.74
x = -5 + 3.74 = -1.26 <== solution
x = -5 - 3.74 = - 8.74 <== solution
Notice the picture below
the AD line is a bisector, cutting the 36 degrees A in half,
18 and 18 degrees each half
notice the tickmarks, the triangle is an isosceles,
if those two sides are equal, so are the angles they make
down below with the base
now, the base is 8, AD is bisecting that too, to 4 and 4
now, using the Law of Sines

keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode
Answer:
x1 = 275 miles (shorter)
x2 = 318 miles (longer)
Step-by-step explanation:
Let
x1 = be the shorter route
v1 = speed of the car in the shorter route
t1 = time it took to cover shorter route
x2 = the longer route
v2 = speed of the car in the longer route
t2 = time it took to cover longer route
x1 + 43 = x2 (1)
v2 = v1 -2 (2)
v2 = x2/t2 = x2/6
v1 = x1/t1 = x1/5
This means that
v2 = v1 -2 =>
x2/6 = x1/5 -2
The system of equations results
a. x1 -x2 = -43
b. x1/5 - x2/6 = 2
Solving this system of equations, we find that
x1 = 275 miles
x2 = 318 miles