5x squared + 30x=0 How does that equal zero?
2 answers:
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Answer:
Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:
Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:
The parabola also passes through (4,19) hence it must satisfy its equation.
We divide both sides by 25 to get:
Hence the quadratic function is:
Answer:
Step-by-step explanation:
The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be . The magnitude of
will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is
, we have:
(Recall that
)
Now that we've found the vertical component of the velocity and launch, we can use kinematics equation to solve this problem, where
is final and initial velocity, respectively,
is acceleration, and
is distance travelled. The only acceleration is acceleration due to gravity, which is approximately
. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.
What we know:
Solving for :