Answer:
Verified
Step-by-step explanation:
Let A matrix be in the form of
![\left[\begin{array}{cc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D)
Then det(A) = ad - bc
Matrix A transposed would be in the form of:
![\left[\begin{array}{cc}a&c\\b&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26c%5C%5Cb%26d%5Cend%7Barray%7D%5Cright%5D)
Where we can also calculate its determinant:
det(AT) = ad - bc = det(A)
So the determinant of the nxn matrix is the same as its transposed version for 2x2 matrices
Use a proportion.
Let A = water used in household A.
Let B = water used in household B.
A to B = 13 to 5
A = 260 gal
260 to B = 13 to 5
260/B = 13/5
13B = 5 * 260
B = 100
A + B = 260 + 100 = 360
The total is 360 gallons.
Answer:
5
Step-by-step explanation:
5
Answer:
y intercept = - 40
Step-by-step explanation:
x 24 36 48
y -8 1 10
y = ax + b
a is the gradient (or slope).
b = y intercept.
a = (48-36) / (10-1) = 12/9
Rewrite to solve for b, which means it starts with b = ...
b = y - 12/9 * x
Substitute one point ( 24 , -8 )
b = -8 - (12/9 * 24)
b = y intercept = - 40
