Answer:
The slope of the line = m = -9/5
Step-by-step explanation:
Given the points
Determining the slope between (-2, 4) and (3, -5)
(x₁, y₁) = (-2, 4)
(x₂, y₂) = (3, -5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-5 - 4] / [3 - (-2)]
= [-9] / [3 + 2]
= -9/5
Thus, the slope of the line = m = -9/5
After you subtract the fixed cost of $75 from your budget of $110, you have $35 to spend on miles. At $0.35 per mile, you can afford 100 of them.
You can drive up to 100 miles for $110 or less.
Answer:
Dear user,
Answer to your query is provided below
2(al−1) is the expression equivalent for 2la+26−2−26
The sum of the inner angles of any triangle is always 180°, i.e. you have
In the particular case of an equilater triangle, all three angles are the same, so
and the expression becomes
which implies 
So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.
Of course, this is equivalent to a clockwise rotation of 120 degrees.
Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)
Answer:
Step-by-step explanation:
6x - 2y = -4
y= 3x + 2
We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.
6x - 2(3x +2) = -4
Now usually we'd we simply solve for X.
6x - 6x -4 = -4
This clearly does not work as we cannot get rid of X
Therefore, this system of equations has no solution we can find through substitution
