Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :
We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by
Now, from equations (ii) and (iii), we have
Substituting the value of y and z from equations (iv) and (v) in equation (i), we get
From equations (iv) and (v), we get
Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Answer: x= 21.6
Step-by-step explanation:
12^2 + 18^2 =x^2
144 + 324 =x^2
468 = x^2
c= 21.633
To the nearest tenth place is c= 21.6
85 yen are equivalent to 1 euro ⇒ answer O
Step-by-step explanation:
The given is:
- 1 dollar = 1.2 euros
- 1 dollar = 102 yen
We need to find how many yens are equivalent to 1 euro
∵ 1 dollar = 1.2 euros
∵ 1 dollar = 102 yen
- Equate the two right sides of 1 dollar
∴ 1.2 euros = 102 yen
- To find 1 euro equals how many yen divide both sides by 1.2
∵ (1.2 ÷ 1.2) euros = (102 ÷ 1.2) yen
∴ 1 euro = 85 yen
85 yen are equivalent to 1 euro
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85 gallons per day is the unit rate. divide 2550 by 30
