Answer:
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Step-by-step explanation:
Answer:
The solutions to the quadratic equations are:

Step-by-step explanation:
Given the function

substitute y = 0 in the equation to determine the zeros

Switch sides

Add 4 to both sides

Simplify

Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides


Apply perfect square formula: (a-b)² = a²-2ab+b²


solve

Add 3 to both sides

Simplify

now solving

Add 3 to both sides

Simplify

Thus, the solutions to the quadratic equations are:

-24+12d=2d-6+22
-24+12d=2d+16
-24+12d+24=2d+16+24
12d=2d+40
12d-2d=2d+40-2d
10d=40
10d/10=40/10
D=4
Answer:
C) Trapezoid
Step-by-step explanation:
Given




Required
The possible shape
The above are 4 vertices.
Hence, the shape cannot be
(a) Triangle ---- it has 3 vertices
(b) Pentagon ---- it has 5 vertices
Calculate distance AB using distance formula

Where:







Calculate distance BC using distance formula

Where:







Since

<em>Then, the polygon is not a square</em>
<em></em>
<em>The last available option is (c) trapezoid</em>