Answer:
![x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D-3%20%2B%5Csqrt%7B14%7D%20%5C%5C%5C%5Cx_%7B2%7D%20%3D-3%20-%5Csqrt%7B14%7D)
Step-by-step explanation:
+6x-5=0
we divide the coefficient of the X by half :
in this case: 6/2 = 3 , then we do the following
The result obtained is raised to square power: 3^2=9
we sum and subtract by 9 to maintain the balance of the equation:
+6x+9-9-5=0
we have:
-9-5=0
= 14
lets apply square root on both sides of the equation:
![\sqrt{(x+3)^{2}}=\sqrt{14}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B3%29%5E%7B2%7D%7D%3D%5Csqrt%7B14%7D)
we know:
![\sqrt{a^{2}} = abs(a)](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E%7B2%7D%7D%20%3D%20abs%28a%29)
so we have:
abs(x+3)=![\sqrt{14}](https://tex.z-dn.net/?f=%5Csqrt%7B14%7D)
from where two solutions are obtained
![x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}](https://tex.z-dn.net/?f=x_%7B1%7D%20%2B%203%20%3D%5Csqrt%7B14%7D%20%5C%5C%5C%5Cx_%7B2%7D%20%2B%203%20%3D-%5Csqrt%7B14%7D)
finally we have:
![x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D-3%20%2B%5Csqrt%7B14%7D%20%5C%5C%5C%5Cx_%7B2%7D%20%3D-3%20-%5Csqrt%7B14%7D)
Answer:
-13/20
Step-by-step explanation:
-0.65=-65/100
=13/20
Answer:
5,000 people
Step-by-step explanation:
3.75 * 10^5 AKA 100,000
375,000
375000/75 = 5,000
Hope I helped!
Ok so x has to be our unknown variable so 3/4x=20 so we divide keep change flip or kfc as we call it 3/4 times 1/20 would be 3/80
Answer:
Step-by-step explanation:
In case of rectangle:
Length l = 30 cm
Width w = 14 cm
Since, circle touches the edges (lengths) of the rectangle.
Therefore,
Diameter of circle = 14 cm
So, radius r = 14/2 = 7 cm
Area of the shaded region = Area of rectangle - Area of circle
![= lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2}](https://tex.z-dn.net/?f=%20%3D%20lw%20%20-%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%2030%20%5Ctimes%2014%20-%203.14%20%7B%287%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20420%20-%203.14%20%5Ctimes%2049%20%5C%5C%20%20%5C%5C%20%20%3D%20420%20-%20153.86%20%5C%5C%20%20%5C%5C%20%20%3D%20266.14%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20)