Answer :
According to the equation,
x² + 5x = - 1
x² + 5x + 1 = 0
Using Quadric Formula
x = - b ± √ b² - 4ac / 2a
x = - (5) ± √ (5)² - 4 (1) (1) / 2 (1)
x = - 5 ± √ 25 -4 / 2
x = - 5 ± √ 21 / 2
So the required answer is
- 5 ± √ 21
x = —————
2
The answer is option C or 3.
Answer:
![4\sqrt{2}](https://tex.z-dn.net/?f=4%5Csqrt%7B2%7D)
Step-by-step explanation:
distance formula:![\sqrt{\left(x_2-x_1\right)^{2}+\left(y_2-y_1\right)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cleft%28x_2-x_1%5Cright%29%5E%7B2%7D%2B%5Cleft%28y_2-y_1%5Cright%29%5E%7B2%7D%7D)
set square to be centered on the origin and find the distance between 2 of the connected points
![\sqrt{\left(3-2\right)^{2}+\left(2-1\right)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cleft%283-2%5Cright%29%5E%7B2%7D%2B%5Cleft%282-1%5Cright%29%5E%7B2%7D%7D)
= ![\sqrt{\left(1\right)^{2}+\left(1\right)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cleft%281%5Cright%29%5E%7B2%7D%2B%5Cleft%281%5Cright%29%5E%7B2%7D%7D)
= ![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
multiply by 4 as it is a square and all of its sides are equal
![4\sqrt{2}](https://tex.z-dn.net/?f=4%5Csqrt%7B2%7D)
insert units
![4\sqrt{2}\ \ meters](https://tex.z-dn.net/?f=4%5Csqrt%7B2%7D%5C%20%5C%20meters)
Answer:
27
Step-by-step explanation:
Perimeter is the distance around the rectangle and the formula is 2 x length + 2 x height.
Perimeter = 2 x45 + 2x20
Perimeter = 90 + 40
Perimeter = 130 yards