Answer:
A. 72
Step-by-step explanation:
Determinant of a 2x2 matrix: ad - bc
In that case,
24(18) - 30(12)
432 - 360
72
And we have our answer.
{x,y} = {-2,3}
[1] 2x + 4y = 8
[2] x - 3y = -11
4y + 2x = 8
-3y + x = -11
Solve equation for the variable x
[2] x = 3y - 11
Plug this in for variable x in equation [1]
[1] 2•(3y-11) + 4y = 8
[1] 10y = 30
Solve equation [1] for the variable y
[1] 10y = 30
[1] y = 3
By now we know this much :
x = 3y-11
y = 3
Use the y value to solve for x
x = 3(3)-11 = -2
Solution :
{x,y} = {-2,3}
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~Savannah
Answer:820
Step-by-step explanation:
Since he got $500 the first week multiply 80x4 which is 320+500 is 820$
9514 1404 393
Answer:
B. 17°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between angles and sides. Here, the relevant relation is ...
Sin = Opposite/Hypotenuse
sin(N) = PQ/PN
sin(N) = 4/14
N = arcsin(4/14) ≈ 16.6° . . . . use the inverse function to find the angle
N ≈ 17°