y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
The correct answer is B.
Determine and recall first the trigonometric functions:
Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent
If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z.
Use this test to answer:
Sin Y = Y/X
where:
Y = opposite
X = hypotenuse
Cos (90 - y) = cos (90 - 50) = cos 40
where Z = 40
we look for cos Z = Y/X
Therefore,
Sin Y = Cos (90 - Y)
Answer:
3(a + 5b + 7c) and 2x(2 + 5y + 11z)
Step-by-step explanation:
3a + 15b + 21c
3(a + 5b + 7c)
4x + 10xy + 22xz
2x(2 + 5y + 11z)
Answer:
Step-by-step explanation:
1. ok so you need to use Pythagoras which is a^2 + b^2 = c^2
substituting 16 and 12 into 'a' and 'b' you get 16^2 + 12^2 = c^2
256 + 144 = c^2
400 = c^2 (square root each side to get ride of the square)
c = 20cm
2. doing the same thing you get c = 22.36 in
3. again doing it you get c = 15Ft
Hope this helps!
