The area of the parallelogram will be 108 square units.
<h3>What is the area of the parallelogram?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The vertices of the parallelogram are (x₁, y₁), (x₂, y₂), (x₃, y₃), and ( x₄, y₄).
Then the area of the parallelogram will be calculated as below:-
Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₄+x₄y₁) - (y₁x₂ + y₂x₃ + y₃x₄+y₄x₁)]|
We have
(x₁, y₁) ⇒ (-12, 2)
(x₂, y₂) ⇒ (6, 2)
(x₃, y₃) ⇒ (-2, -3)
(x₄, y₄) ⇒ (-20 , -3 )
Then the area will be
Area = 1/2[{(-12) x (2) + (6) x (-3) + (-2) x (-3) + (-20 x 2 )} – {(2) x (6) + (2) x (-2) + (-3) x (-20) + ( -3 ) ( -12 )}]
Area = 108 / 2
Area = 54 square units.
Therefore, the area of the parallelogram will be 108 square units.
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Answer:
<h3>Part A: Function type</h3>
Car 1 . Exponential function
<u>The value ratios are constant:</u>
- 40500/45000 = 36450/4050 = 32805 /36450= 0.9
Car2. Linear function
<u>The value differences are constant:</u>
- 45000 - 42000 = 42000 - 39000 = 39000 - 36000 = 3000
<h3>Part B: Equations</h3>
<u>Car 1</u>
<u>Car 2</u>
<h3>Part C: Value after 13 years</h3>
<u>Car 1</u>
- f(13) = 45000*0.9¹³ = $11438
<u>Car 2</u>
- f(13) = 45000 - 3000*13 = $6000
Car 1 will have a greater price
The nonpermissible replacement of the variable in a certain expression is the value of x that will make the denominator of the expression zero. In this certain given,
6x + 3 ≠ 0
Solving for x,
x ≠ -1/2
Thus, the answer is -1/2.
ummm i think is bussin dems toes, but im not sure
