Answer:
x = -34
, y = 31
Step-by-step explanation suing Gaussian elimination:
Solve the following system:
{2 x + 3 y = 25
3 x + 4 y = 22
Express the system in matrix form:
(2 | 3
3 | 4)(x
y) = (25
22)
Write the system in augmented matrix form and use Gaussian elimination:
(2 | 3 | 25
3 | 4 | 22)
Swap row 1 with row 2:
(3 | 4 | 22
2 | 3 | 25)
Subtract 2/3 × (row 1) from row 2:
(3 | 4 | 22
0 | 1/3 | 31/3)
Multiply row 2 by 3:
(3 | 4 | 22
0 | 1 | 31)
Subtract 4 × (row 2) from row 1:
(3 | 0 | -102
0 | 1 | 31)
Divide row 1 by 3:
(1 | 0 | -34
0 | 1 | 31)
Collect results:
Answer: {x = -34
, y = 31
Answer: 3053.63
To get this you have 4/3 times pie times r3
Answer:
The least amount of dimensions would be using a 4ft x 4ft base.
Step-by-step explanation:
When looking to maximize area and minimize materials, a perfect square always does this. To prove the point, consider the 4 x 4 box in the answer to say a 16 x 1 box, which would have the same area.
The 4 x 4 box would have 4 sides each of 4 ft. Therefore, it would have 16 feet of sides to construct.
Meanwhile, there would be two sides on the other one that were 16 ft alone.
Answer:
1:2
Step-by-step explanation:
The general equation of the sine function y=f(x) is defined as
where A is the Amplitude
B represents the frequency of the function with period equals 
C represents the Horizontal shift, For Phase shift= -C/B
D represents the Vertical shift.
The data given that the amplitude of the function A=6
Vertical shift 
Horizontal Shift 
Now plug in 
in the general equation of sine function, we get
