Step-by-step explanation:
(ax + b)² = a²x² + 2abx + b²
In this case, a = 1, so:
14 = 2b
b = 7
(x + 7)² = x² + 14x + 49
Given:
A figure of a triangular prism.
Height of triangular base =
yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:




Putting
and h=4 in (i), we get




The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
When you triple the height of the box, it can hold (900 x 3) = 2,700 pieces.
Then triple its length, and it can hold (2,700 x 3) = 8,100 pieces.
Then triple its width, and it can hold (8,100 x 3) = 24,300 pieces.
When you triple the dimensions of a 3D object, it has 27 times its original volume. (900 x 27) = 24,300 .
Answer:
f(4) = 85 1/3 or 85.333...
Step-by-step explanation:
To find f(4), you must substitute 4 in place of x whenever x appears:
f(x) =
*
f(4) =
* 
Next, simplify the exponent:
f(4) =
* 256
Finally, multiply:
f(4) = 85 1/3 or 85.333...
Answer:
It parallel line.
Step-by-step explanation: