Jonathan has a box that contains six tennis balls and six golf balls. If he randomly picks one ball, what is the probability of
2 answers:
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Answer:
b = -9
Step-by-step explanation:
The function is given as :
The axis of symmetry for this function is x = 3/2
It is required to find the value of b. The axis of symmetry of a parabola is a vertical line that intercepts its vertex at its horizontal coordinate. It can be given by :
Putting x = 3/2 and a = 3 we get :
So, the value of b is -9.
Answer:
m∠UVW = 53°
Step-by-step explanation:
From the picture attached,
m(∠VTU) = (x - 2)°
m(∠TUV) = (2x + 11)°
m(∠UVW) = (6x - 15)°
Since, ∠UVW is the exterior angle of the ΔTUV,
By the triangle sum theorem,
m∠VTU + m(∠TUV) + m(∠UVW) = 180°
(x - 2)° + (2x + 11)° + (6x - 15)° = 180°
9x - 6 = 180
9x = 186
x =
x =
By the property of exterior angle of a triangle,
m(∠UVW) = m(∠VTU) + m(TUV)
= (x - 2) + (2x + 11)
= 3x - 9
Now by substituting the value of x,
(3x - 9)° =
= 62 - 9
= 53°
Therefore, m∠UVW = 53°
