Step-by-step explanation:
is 50 in root or just 10x.........
Answer:
The answer to your question is below
Step-by-step explanation:
43.-
x =
x =
x = 29.42
44.-
x =
x =
x = 13.49
45.-
cos x =
cos x = 0.7166
x = 44.22°
46.-
x =
x =
x = 17.34
47.-
cos P =
cos P = 0.888
P = 27.36°
sinR/13 = sinP/6
sin R = 13sin27.36/6
sinR = 0.996
R = 84.71°
Q = 180 - 84.71 - 27.36
Q = 67.93°
48.-
D = 180 - 25 - 113
D = 42°
CD = 9Sin113/sin42
CD = 12.38
ED = 9sin25/sin42
ED = 5.68
²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (2012-2011)!]
²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (1)!]
Simplify 2012! / (2011)! = 2012
²⁰¹²C₂₀₁₁ = (2012)! / (1)! = 2012
Answer:
Option 1 and Option 4.
Step-by-step explanation:
The given graph is y = tanx
Now we will check the points given in the option.
For (4π/3, √3)
y = tan(4π/3) = tan(π+π/3) = tan(π/3) [tan(π+∅) = tan∅]
y = √3
right option.
For (π/4,-1)
y = tan(π/4)=1
Therefore incorrect option.
For (π/6, -√3/3)
y = tan(π/6) = 1/√3 = √3/3
So incorrect option.
For (π/3, √3)
y = tan π/3 = √3
Correct option.
For (1, -π/4)
y = tan(1) = value in radians will be positive
So incorrect option.
Answer:
y = (x + 4.5)² - 13.25
Step-by-step explanation:
y = x² + 9x + 7
We need to get a perfectly squared binomial as part of the right side.
Take the '9x' term, divide it in half, square it, add <u>and also subtract it </u>on the right side, as shown below. That would be (4.5)² = 20.25 added <u>and </u>subtracted.
y = x² + 9x + 7
y = x² + 9x + 20.25 + 7 - 20.25
y = (x² + 9x + 20.25) - 13.25
y = (x + 4.5)² - 13.25
y = (x + 4.5)² - 13.25
Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)
So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.
Vertex = (-4.5, -13.25)
I verified on a graphing calculator that this is indeed the vertex of the parabola.