6 + ( - 3 ) is ___ units from 6, in the ___ direction.
2 answers:
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Answer:
1. The correct option B.
2.The correct option A.
Step-by-step explanation:
The given function is
Where f(d) is the height of the ball at horizontal distance d.
Put f(d)=0, to find the distance where the ball touch the ground.
Quadratic formula:
Using the quadratic formula we get
Therefore the ball is in air between d=-0.146 to d=9.146.
The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.
Therefore the correct option is B.
2.
The given equation is
.... (1)
The standard form of parabola is
.... (2)
Where, a is constant and (h,k) is vertex.
On comparing (1) and (2), we get
Since the value of a is positive, therefore it is an upward parabola. The vertex of the parabola is (1,1).
Put x=0 in the given equation.
Therefore the y-intercept is (0,2) and option A is correct.
In the question, the angles proves that this triangle is an isoceles triangle.
So we can set the two sides equal:
Add
to both sides of the equation: 
Divide both sides by 2:
We find that
. AC is also x, so, it is 6 too.
So we can set the two sides equal:
Add
Divide both sides by 2:
We find that