Answer:
Step-by-step explanation:
The determinant of a matrix is a special number that can be calculated from a square matrix.
...
To work out the determinant of a 3×3 matrix:
Multiply a by the determinant of the 2×2 matrix that is not in a's row or column.
Likewise for b, and for c.
Sum them up, but remember the minus in front of the b.
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
Answer:
y=5(x-3)^2+2
Step-by-step explanation:
You plug the point into f(x)=a(x-3)^2+2... that already has already been solved for the vertex that you want. Then you swap it out for the solution you have solved for.
4^x+3 (the x + 3 is included in the power). That's just another way that you could write that.
Answer:
z=-y-11
Step-by-step explanation:
let's take out the parenthesis
-z-11=y
Now put 11 on the other side
-z=y+11
Then make z positive
z=-y-11
