Hello :
<span>g(x) = 5x² - 50x + 128
= 5(x²-10x +128/5)
= 5 (x²-10x+5²-5² +128/5)
= 5 ((x-5)² +128/5 -125/5)
y = 5 ((x-5)² - 3/5)
y= 5(x-5)² +3.....vertex form
the vertex is : (5,3)</span>
Answer for teardrop shape:
64.27
Step-by-Step Explanation:
I used the area calculators on Goggle
Answer for square:
5.7
Explanation:
The shape is a square, so all the sides are equal
5.7 + 6.8 = 12.5
x = 5.7
Answer for trapezoid:
76.95
Explanation:
Again, Goggle
A - 3b = 4
a = b -2
(b - 2) - 3b = 4
b - 2 - 3b = 4
-2b = 4 + 2
-2b = 6
b = 6/-2
b = -3
a = b - 2
a = -3 -2
a = -5
to check: a = -5 ; b = -3 ⇒ (-5,-3)
a - 3b = 4
-5 - 3(-3) = 4
-5 + 9 = 4
4 = 4
Let's assume length of the room as y
so the width of the room = y - 5
Area
y * (y - 5) = 750