Lets get started :)
f(x) =

- 2
y =

- 2
This is the original equation, and now we have to find the inverse.
When finding the inverse, just flip the variables, x as y and y as x
f ⁻¹(x)
↓
x =

- 2
We have to isolate y as it is our f ⁻¹(x)
Take 2 to the other side { When you see subtraction, you do addition }
x + 2 =

Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y
f ⁻¹ (x) = 9x + 18
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)
To determine the slope using two points lie on the line, we could use the following formula
m =

plug in the numbers
m =

m =

m =

m = undefined
The slope is undefined, the line is vertical
Answer:
7x(x - 2y)(x + 2y).
Step-by-step explanation:
First take out the GCF which is 7x:
7x^3-28xy^2
= 7x(x^2- 4y^2)
Now factor the expression in the brackets:
= 7x(x - 2y)(x + 2y) (answer).
Answer:
<h3>
a. Value of x: 4</h3><h3>b. Measure of ∠LMN: 23</h3><h3>c. Measure of ∠KLM: 132</h3>
Step-by-step explanation:
a) Two lines are parallel and KN is transversal.
So, alternate interior angles are equal.
∠LNM =∠JKL
6x + 1 = 25
Subtract 1 from both sides.
6x + 1 - 1 = 25 -1
6x = 24
Divide both sides by 6
6x/6 = 24/6
x = 4°
b) ∠LMN = 3x +11
= 3*4 + 11
= 12 + 11
∠LMN = 23°
c) ∠KJL = ∠LMN {Alternate interior angles are equal, transversal JM}
∠KJL = 23°
In ΔKLJ,
∠JKL + ∠KLM + ∠LJK = 180°
25 + ∠KLM + 23 = 180
∠KLM + 48 = 180
∠KLM = 180 - 48
∠KLM = 132°
d) In ΔJKL & ΔLMN
∠J = ∠M
∠K=∠N
∠NLM = ∠KLJ {Vertically opposite angles.
ΔKJL & ΔLMN are similar triangles