Answer:
The inequality which represents the graph is y ≤ -2x + 1 ⇒ A
Step-by-step explanation:
To solve the question you must know some facts about inequalities
- If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line
- If the sign of inequality is > or <, then it represents graphically by a dashed line
- If the sign of inequality is > or ≥, then the area of the solutions should be over the line
- If the sign of inequality is < or ≤, then the area of the solutions should be below the line
Let us study the graph and find the correct answer
∵ The line represented the inequality is solid
∴ The sign of inequality is ≥ or ≤
→ That means the answer is A or B
∵ The shaded area is the area of the solutions of the inequality
∵ The shaded area is below the line
∴ The sign of inequality must be ≤
→ That means the correct answer is A
∴ The inequality which represents the graph is y ≤ -2x + 1
To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:
![(x - 16)^2 + (y - 30)^2 = 1156](https://tex.z-dn.net/?f=%28x%20-%2016%29%5E2%20%2B%20%28y%20-%2030%29%5E2%20%3D%201156)
Equation of a circle:
The equation of a circle with center
and radius r is given by:
![(x - x_0)^2 + (y - y_0)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20x_0%29%5E2%20%2B%20%28y%20-%20y_0%29%5E2%20%3D%20r%5E2)
Center at (16, 30)
This means that ![x_0 = 16, y_0 = 30](https://tex.z-dn.net/?f=x_0%20%3D%2016%2C%20y_0%20%3D%2030)
Thus
![(x - 16)^2 + (y - 30)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%2016%29%5E2%20%2B%20%28y%20-%2030%29%5E2%20%3D%20r%5E2)
Passes through the origin:
We use this to find the radius squared, as this means that
is part of the circle. Thus
![(x - 16)^2 + (y - 30)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%2016%29%5E2%20%2B%20%28y%20-%2030%29%5E2%20%3D%20r%5E2)
![(0 - 16)^2 + (0 - 30)^2 = r^2](https://tex.z-dn.net/?f=%280%20-%2016%29%5E2%20%2B%20%280%20-%2030%29%5E2%20%3D%20r%5E2)
![r^2 = 16^2 + 30^2 = 1156](https://tex.z-dn.net/?f=r%5E2%20%3D%2016%5E2%20%2B%2030%5E2%20%3D%201156)
Thus, the equation of the circle is:
![(x - 16)^2 + (y - 30)^2 = 1156](https://tex.z-dn.net/?f=%28x%20-%2016%29%5E2%20%2B%20%28y%20-%2030%29%5E2%20%3D%201156)
For another example to find the equation of a circle, you can look at brainly.com/question/23719612
Answer:
V = 288 m^3
Step-by-step explanation:
The formula for volume of a rectangular prism is
V= l*w*h
V = 4*8*9
V = 288 m^3
Answer:
10
Step-by-step explanation:
440=2(60+6x+10x)
220=60+16x
160=16x
x=10
h=10