Answer:
10
Step-by-step explanation:
[1 -2]
[3 4]
We can obtain the determinant of the above matrix by doing the following:
Determinant =(1 × 4) – (3 × –2)
Determinant = 4 – – 6
Determinant = 4 + 6
Determinant = 10
Thus, the determinant of the above matrix is 10
Answer:
6x^2-6
Step-by-step explanation: algebra
Answer:
2a = 108
Step-by-step explanation:
the 3 angles of the triangle add to 180
lets call the unknown angle in the triangle y
a+10 + y + 44 = 180
we also know that 2a+ y = 180 because it makes a straight line
solve this for y by subtracting 2a from each side
2a +y = 180
y = 180 -2a
now we can substitute this into the triangle equation
a+10 + y + 44 = 180
a+10 + 180 -2a + 44 = 180
combine like terms
-a +234 = 180
subtract 234 from each side
-a = --54
divide each side by -1
a =54
the exterior angle is 2a
2* 54
108
Answer:
f(x) = 3 + 5x
Step-by-step explanation:
For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.
This means that f(0) = 3.
And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.
Hence, we will create the function equation:
f(x) = 3 + 5x
Cheers.