The answer to this question has to be 8
The answer is 7, your welcome :).
This is a trapezoid and the trapezoid formula is b1 plus b2/ 2 times height.
17 plus 5 is 22. Divided by 2 is 11.
Now, we have to multiply 11 by the height : 5.
11 times 5 is 55 and that is your area. 55 units squared.
You can just plug in one of the points to each equation until you get an equality that is true.
I chose to use (-3,2)
1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)
2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)
3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)
So, the correct equation is 3x+5y=1.
Make sense?
Standard form of polynomial = ax² + bx + c
Zeros: x = {-2,3}
This gives the factors as, (x + 2) (x - 3)
On expanding this:
(x + 2) (x - 3)
x(x - 3) + 2(x - 3)
x² - 3x + 2x - 3
x² - x - 3
Polynomial = <em>x² - x - 3</em>
