Answer:

Step-by-step explanation:
The straight line passes through (0,1) and (2,-2).
Equation of a straight line passing through two points (x1,y1) and (x2,y2)
is given by:



Everything to the left of the line is shaded.
We have to visualize the graph:the straight line has a positive y-intercept and a negative slope.The graph is given in the attachment below.
From the figure we can see origin lies on the shaded region.Hence (0,0) should satisfy the inequality.
LHS=y=0
RHS=
LHS<RHS as 0<1
Hence , the inequality is:

Answer:
7
Step-by-step explanation:
1. Lets Combine Like Terms. The only combineable terms are 8 and 8. So if we combine them they will equal 16. And we will have (2n+2)=16
2. Let's isolate the variable. We can do this by subtracting 2 from both sides. This will come out to 2n+14.
3. Let's further isolate the variable. We can do this by dividing both sides by two, which will finally come out to n=7
Answer:
❥
Diameter of a circle is 8 cm. Then find out the area and perimeter of the circle.
❥
Area of circle is 50.29(≈)cm² and perimeter of circle is 25.14(≈)cm.
❥
•Given :-
Diameter of the circle = 8 cm.
•To find :-
Area and perimeter of the circle.
• Solution :-
Let the radius of the circle be r cm.
Diameter = 8 cm.
We know,
★
So, Radius (r) = 8/2= 4 cm.
We know,
★
Area of circle= πr²
→Area of circle=
→Area of circle=
→Area of circle= 50.29(≈)cm²
____________________________
We know,
★
Perimeter of circle= 2πr
→ Perimeter of circle=
→Perimeter of circle=25.14(≈)cm
456÷100=4.56
How to check your work: 456÷4.56=100