Answer:
60 square foot
Step-by-step explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden

So,
length = x
width = y = 
The length is reduced by 7 feet and the width becomes half.
New length = 
New width = 
New perimeter = 34 foot
![2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19](https://tex.z-dn.net/?f=2%5B%28x-7%29%2B%5Cfrac%7B1%7D%7B2%7D%2829-x%29%5D%3D34%5C%5C%202%5B2%28x-7%29%2B%2829-x%29%5D%3D2%2834%29%5C%5C2%28x-7%29%2B%2829-x%29%3D34%5C%5C2x-14%2B29-x%3D34%5C%5C2x-x-14%2B29%3D34%5C%5Cx%2B15%3D34%5C%5Cx%3D34-15%5C%5Cx%3D19)
So,
New length 
New width = 
Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot
Answer:
D
Step-by-step explanation:
When a polynomial f(x) is divided by (x - a) then remainder is f(a)
A
divided by (x + 4 ), then a = - 4
- 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20
B
divided by (x - 2), then a = 2
3(2)³ + 7(2)² + 5(2) + 2
= 3(8) + 7(4) + 10 + 2
= 24 + 28 + 12 = = 64 ≠ 20
C
divided by (x + 5) , then a = - 5
(- 5)³ + 5(- 5)² - 4(- 5) + 6
= - 125 + 125 + 20 + 6 = 26 ≠ 20
D
divided by (x - 2), then a = 2
3
- 5(2)³ + 5(2) + 2
= 3(16) - 5(8) + 10 + 2
= 48 - 40 + 12 = 20 ← Remainder of 20
Answer:
x = - 2 or x = 4
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
The x- intercepts are at x = - 2, x = 4
30 cups, because, 1 fl oz equals 0.125 cups, I hope this helped! :)
Answer: the answer here is 8
Step-by-step explanation:
just lay it out up to down, divide annnnnd SHABLAM you got the answer :)