Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x
Area = length * width
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85
(2x + 17) ( x - 5)
x = -17/2 or x = 5
Let x = 5 ;
length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7
Area = 13 x 7 = 91
Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
The remainder is going to be 11
Expand the binomial first, then distribute the 4:
4 (<em>x</em> + 1)² = 4 (<em>x</em> ² + 2<em>x</em> + 1)
… = 4•<em>x</em> ² + 4•2<em>x</em> + 4•1
… = 4<em>x</em> ² + 8<em>x</em> + 4
Answer:
Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
2
,
3
)
Step-by-step explanation:
