If we calculate the distance between two points, it is equivalent to one side of the rectangle. Using the distance formula:
d = √((x₂ - x₁)² + (y₂-y₁)²)
We compute the distance between the points (-3,2) and (5,4)
d = √((5 + 3)² + (4 - 2)²) = √68
Now, we check the next two points:
d = √((6 - 5)² + (0 - 4)² = √17
Now, we know that the adjacent sides of a rectangle are equal so the perimeter can be calculated using:
P = 2(l₁ + l₂)
P = 2(√68 + √17)
=24.7 units.
Answer:
x in (-oo:+oo)
Y = (6/13)*x // - (6/13)*x
Y-((6/13)*x) = 0
Y+(-6/13)*x = 0
Y-6/13*x = 0 // - Y
-6/13*x = -Y // : -6/13
x = -Y/(-6/13)
x = 13/6*Y
x = 13/6*Y
Answer:
Elimination
Step-by-step explanation:
The following system of equations can be easily solved by elimination as we can simply eliminate x-term.
Substitution will take a lot of time because you need to move to make either x-term or y-term as the subject then substitute in.
Graphing Method — You need to find the intercepts of both equations. You also have to convert into slope-intercept form which takes a lot of time.
Its factors would be
(x+2)*(x-1)*(x+0)
x^2 +x -2
x^3 + 0 + x^2 + 0 -2x +0
Equation: x^3 + x^2 -2x
f(2) = 8 + 4 -4
2x^3 + 2x^2 -4x +0
f(2) = 16 + 8 -8
3x^3 + 3x^2 -6x +0
f(2) = 24 +12 -12
4x^3 + 4x^2 -8x +0
f(2) = 32 +16 -16
So, the equation is:
4x^3 + 4x^2 -8x = 0
