In the division problem, 0.08 ÷ 2 = 0.04, the dividend is 0.08.
R^2=(x-6)^2+(y-4)^2
r^2=(6-2)^2+(4-1)^2, r^2=16+9=25
(x-6)^2+(y-4)^2=25
Answer:
5x +3y>-15
5(0)+3(0)
0+0= 0 > -15
Step by step explanation
We have to create a scenario that leads to an inequality of the form ax + b > c.
Word problem: A family went to an park. Entry fee of the park for a family is $20 and the cost of a ride is $10 per person. The family spent more than $100 on that ride.
The required inequality is
Subtract 20 from both sides.
Divide both sides by 10.
It means the number of rides must be greater than 8.
<u>Answer:</u>
![2i\sqrt{3}](https://tex.z-dn.net/?f=2i%5Csqrt%7B3%7D)
![-2i\sqrt{3}](https://tex.z-dn.net/?f=-2i%5Csqrt%7B3%7D)
<u>Step-by-step explanation:</u>
![x^2 + 12](https://tex.z-dn.net/?f=x%5E2%20%2B%2012)
First set the equation to 0
![x^2 + 12](https://tex.z-dn.net/?f=x%5E2%20%2B%2012)
![x^2 + 12 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2012%20%3D%200)
Second, get the 12 on the right side of the equal sign by adding a -12 to each side
![x^2 + 12 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2012%20%3D%200)
![x^2 + 12 + (-12) = 0 -12](https://tex.z-dn.net/?f=x%5E2%20%2B%2012%20%2B%20%28-12%29%20%3D%200%20-12)
![x^2 = -12](https://tex.z-dn.net/?f=x%5E2%20%3D%20-12)
Square root both sides of the equal sign.
![x^2 = -12](https://tex.z-dn.net/?f=x%5E2%20%3D%20-12)
![\sqrt{x^2} = \sqrt{-12}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%20%3D%20%5Csqrt%7B-12%7D)
Take the square root on left sides of the equal sign.
![\sqrt{x^2} = \sqrt{-12}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%20%3D%20%5Csqrt%7B-12%7D)
![x = \sqrt{-12}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B-12%7D)
Take the square root on the right side of the equal sign. Remember ![\sqrt{-1} = i](https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D%20%3D%20i)
![x = \sqrt{-12}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B-12%7D)
![x = \sqrt{4}*\sqrt{-1}\sqrt{3}}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B4%7D%2A%5Csqrt%7B-1%7D%5Csqrt%7B3%7D%7D)
![x = 2i\sqrt{3}](https://tex.z-dn.net/?f=x%20%3D%202i%5Csqrt%7B3%7D)
<u>AND</u>
![x = -2i\sqrt{3}](https://tex.z-dn.net/?f=x%20%3D%20-2i%5Csqrt%7B3%7D)
B. 46 feet because 132/12=11 and 12+12+11+11=46