Given the perimeter and length of the garden, the width of the garden was extended by 4 feet
<h3>How to find width of the garden</h3>
- Length of the garden = 12 feet
- Width of the garden = 7 feet
- Width extension =( 7 + w) feet
Perimeter = 2(length+ width)
46 = 2{12 + (7 + w)}
46 = 2(12 + 7 + w)
46 = 2(19 + w)
46 = 38 + 2w
46 - 38 = 2w
8 = 2w
w = 8/2
w = 4 feet
Learn more about perimeter:
brainly.com/question/24571594
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
Answer:
<em>√3</em>
Step-by-step explanation:
Answer:
The answer to your question is x = 0 and x = 1
Step-by-step explanation:
Equation
1)
Expand
2) x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)
Simplify
3) 2x² -2x + 2 = -1(x² + x - 2x - 2)
4) 2x² - 2x + 2 = -x² + x + 2
Equal to zero
5) 2x² - 2x + 2 + x² - x - 2 = 0
6) 3x² - 3x = 0
Factor
7) 3x(x - 1) = 0
8) 3x₁ = 0 x₂ - 1 = 0
9) x₁ = 0/3 x₂ = 1
10) x₁ = 0 x₂ = 1
Answer:
65
Step-by-step explanation:
