Answer:
Step-by-step explanation:
Using Tangent Secant theorem:
(x)² = (2)(2+6)
x² = 2(8)
x² = 16
A botanist records the height of a plant every day for a month. She wants to create a graph to show how the plant's height chang
2 answers:
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Answer:
Choice C is correct
Step-by-step explanation:
The first step is to re-write the equations in exponential form.
The first equation can be written as;
since the base is 10 and 4 the exponent.
The second equation can be written as;
The second step is to make N the subject of the formula in both equations.
Solving for N from this equation , yields;
Solving for N from the second equation , yields;
Therefore;
Answer:
Step-by-step explanation:
We want to find the equation of the parabola with a focus of and directrix
.
Considering the directrix, the quadratic graph must open downwards.
The equation of this parabola is given by the formula,
, where
is the vertex of the parabola.
The axis of this parabola meets the directrix at .
Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,
and
.
The equation of the parabola now becomes,
.
Also is the distance between the vertex and the directrix.
This implies that .
Since the parabola turns downwards,
.
Our equation now becomes,
.
.
We make y the subject to get,
.
This is the same as
.
