<h3>
<u>Answer:</u></h3>

<h3>
<u>Step-by-step explanation:</u></h3>
A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.
The inequality given to us is :-

Let's plot a graph to see its interval . Graph attached in attachment .
Now we can see that the Interval notation of would be ,
![\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Corange%20%5Ctt%20%5Cpurple%7B%5Cleadsto%7Dy%20%5Cin%20%5B-2%2C-1%5D%20%7D%7D)
<h3>
<u>Hence</u><u> the</u><u> </u><u>standa</u><u>rd</u><u> </u><u>form</u><u> </u><u>of</u><u> </u><u>inequa</u><u>lity</u><u> </u><u>is</u><u> </u><u>y²</u><u>+</u><u>3y</u><u> </u><u>+</u><u>2</u><u> </u><u>≤</u><u> </u><u>0</u><u> </u><u>and</u><u> </u><u>the </u><u>Solution</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ineq</u><u>uality</u><u> </u><u>is</u><u> </u><u>[</u><u> </u><u>-</u><u>2</u><u> </u><u>,</u><u> </u><u>-</u><u>1</u><u> </u><u>]</u><u> </u><u>.</u></h3>
The area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle
area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x
so the area of the shaded region is 60y-15x
the GCF is 15, so the factored form is: 15(4y-x)
Answer:
Distance from point AA to point BB = 189.3 feet
Step-by-step explanation:
Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;
distance from point AA to point BB = x - y
To determine the value of x, applying the required trigonometric function;
Tan θ = 
Tan 13 = 
x = 
= 441.81 feet
x = 441.8 feet
To determine the value of y;
Tan 22 = 
y = 
= 252.46
y = 252.5 feet
Thus,
distance from point AA to point BB = 441.8 - 252.5
= 189.3 feet