Given:
The matrix equation is:

To find:
The value of matrix C.
Solution:
Let
. Then the given equation can be rewritten as




On substituting the values of the matrices, we get




Therefore, the correct option is C.
Answer:
3
Step-by-step explanation:
Triangle ABO is a right triangle, and so we can use the Pythagorean Theorem to find the radius, r:
r² + 6² = 7.5², or r² = 56.25 - 36 = 20.25
Taking the square root of both sides yields r = √20.25 = 4.5.
If the radius is 4.5, then subtracting this from 7.5 yields 3, the distance between point A and the rim of the circle.
The desired distance is 3 (Answer A).
Here is your answer
A. (4,-7)
REASON:
In quadrant IV abscissa is +ve and ordinate is -ve. Since absolute value is 11
Here |4|+|-7|= 4+7= 11
HOPE IT IS USEFUL
To answer the question, let x be the number of pounds of coffee worth $9. Having said that, the number of pounds of coffee worth $3 is 120 - x. The equation relating the items before and after mixing is,
(x)($9) + (120 - x)($3) = (120)($5)
The value of x is 40. Therefore, the amount of coffee worth $9 and $3 to be used are 40 and 80 pounds, respectively.
5! = 5 *4*3*2*1 = 120
2! = 2*1 = 2
120 +2 = 122