The (i,j) minor of a matrix A is the matrix Aij obtained by deleting row i and column j from A it is true.
The (i,j) minor of a matrix A is the matrix Aij obtained by deleting row i and column j from A. A determinant of an n×n matrix can be defined as a sum of multiples of determinants of (n−1)×(n−1) sub matrices.
This is done by deleting the row and column which the elements belong and then finding the determinant by considering the remaining elements. Then find the co factor of the elements. It is done by multiplying the minor of the element with -1i+j. If Mij is the minor, then co factor,
+
.
Each element in a square matrix has its own minor. The minor is the value of the determinant of the matrix that results from crossing out the row and column of the element .
Learn more about the minor of the matrix here:
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Answer:
c. 
Step-by-step explanation:
We have been given that the area in square units of an expanding circle is increasing twice as fast as its radius in linear units
We will use derivatives to solve our given problem.
We know that area (A) of a circle is equal to
.
Let us find derivative of area function with respect to time.

Bring out constant:

Using power rule and chain rule, we will get:

Here
represents change is radius with respect to time.
We have been given that area of an expanding circle is increasing twice as fast as its radius in linear units. We can represent this information in an equation as:





Therefore, the radius is
and option 'c' is the correct choice.
Answer:
120 ft²
Step-by-step explanation:
The formula to find the area of a triangle is :
Area =
× base × height
Given that,
base ⇒ 30 ft
height ⇒ 8 ft
<u>Let us solve it now.</u>
Area =
× base × height
Area =
× 30 ft × 8 ft
Area =
× 240 ft²
Area =<u> 120 ft²</u>
Answer:
-6 and 7
Step-by-step explanation:
-6 * 7 = -42 and -6 + 7 = 1, so they are factors and have a sum of 1.