Hey there!!
Perimeter of a rectangle =2 ( length + width )
Let's take the measure of the width as ' x '
Then, the length would be ' 3x '
Hence,
... 2 ( x + 3x ) = 96
... 2 ( 4x ) = 96
... 8x = 96
... x = 96 / 8
... x = 12
Width = 12 inches
And, length would be 36 inches.
Hope my answer helps!!
The correct answer among the choices presented above is option S. The equation y = 2sinx is a sinusoid. A sinusoid is a curve having the form of a sine wave and since the equation contains the sine function then it must be the answer.
Answer:
The correct option is (A)
A. Replace row 4 by its sum with - 4 times row 3.
w = 8
x = 17/2
y = 6
z = -5
Step-by-step explanation:
The given matrix is
To solve this matrix we need to create a zero at the 4th row and 3rd column which is 4 at the moment.
Multiply 3rd row by -4 and add it to the 4th row.
Mathematically,
So the correct option is (A)
A. Replace row 4 by its sum with - 4 times row 3.
So the matrix becomes,
Now the matrix may be solved by back substitution method.
Bonus:
The solution is given by
Eq. 1
-3z = 15
z = -15/3
z = -5
Eq. 2
y + 2z = -4
y + 2(-5) = -4
y - 10 = -4
y = -4 + 10
y = 6
Eq. 3
2x - 6y + 0z = 5
2x - 6(6) = 5
2x - 12 = 5
2x = 12 + 5
2x = 17
x = 17/2
Eq. 4
w - 4x + 4y + 0z = -2
w - 4(17/2) + 4(6) = -2
w - 34 + 24 = -2
w - 10 = -2
w = -2 + 10
w = 8
The weight average of the coordinates is 4
<h3>How to determine the weight average?</h3>
The given parameters are:
Coordinate 2 has a weight of 2
Coordinate 3 has a weight of 2
Coordinate 10 has a weight of 1
The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
So, we have:
Weight average = (2 * 2 + 3 * 2 + 10 * 1)/(2 + 2 + 1)
Evaluate the quotient
Weight average = 4
Hence, the weight average of the coordinates is 4
Read more about average at
brainly.com/question/20118982
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Answer: The answer is
Step-by-step explanation: Given expression is as follows
We are to write the above expression "E" as a product of two binomials and a monomial.
A monomial is an expression with a single term and a binomial is an expression with two terms.
So, let us start as follows -
Here,
Thus, the required factorisation is