Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that 
and 
, then the area of the regular nonagon is:
The area of the regular nonagon is 7921.8 square inches.
Answer:
(a;b)={(17; 64); (64; 17)}
Step-by-step explanation:
a+b=81 => b=81-a
a*b=1088
a*(81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
=> a=17 and a=64
for a=17 => b=81-17=64
for a=64 => b=81-64=17
(a;b)={(17; 64); (64; 17)}
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :
We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.
This simplifies to,
Hence the image is (2,2)
We must look at this question in steps
The first half of the journey is travelled at 40 km/h
Half of 100km is 50 km
Using the formula
Distance = Speed x Time
Speed = Distance / Time
Time = Distance / Speed
We can work out the time:
50km / 40km/h = 1.25 hours
Next we look at the second half of the journey
50km at 80km/h
50km / 80km/h = 0.625 hours
Add together both times to work out how long the entire journey took
1.25 + 0.625 = 1.875 hours
Using the Speed formula from before
Speed = 100km / 1.875 =
53 1/3 km/h or 53.3 recurring km/h
X=5
Work:
y=2x-10
4x=2x-10
2x=10, then divide 2x on each side
x=5
