Answer:
27 and 28
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Given the dimension of the dog pen = 30 ft by 40 ft.
Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :
Area of rectangle = Length * width
Area = 40 * 30
Area = 1200 ft²
Perimeter of rectangle = 2(Length + width)
Perimeter = 2(40 + 30)
Perimeter = 2(70)
Perimeter = 140 feets
Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets
Let F(x) = x^2 + 2x -8
Adding 1 and - 1 at equation
F(x) = x^2 + 2x + 1 - 1 -8
Rewrinting the first 1 = 1^2
F(x) = x^2 + 2x + 1^2 - 1 - 8
Now look:
x^2 + 2x + 1^2 = ( x + 1)^2
Then,
F(x) = (x + 1)^2 -1 -8
F(x) = (x + 1)^2 -9
This is the answer !
If us to want.
(x + 1)^2 -9 = ( x+1)^2 - 3^2
= ( x+ 1 -3).(x +1 +3)
= ( x - 2).(x +4)
We know that
surface area smaller figure=scale factor²*surface area larger figure
scale factor=√[surface area smaller figure/surface area larger figure]
scale factor=√[4/9]-----> scale factor=2/3
so
volume smaller figure=scale factor³*volume larger figure
volume smaller figure=(2/3)³*216----> (8/27)*216----> 64 in³
the answer is
the volume of the smaller figure is 64 in³
A counterexample is seen in the third term, 3, which does not equal 1*2=2.
1*2=2 NOT 3
