Given f(x) = 2x + 5, find x when f(x) = 45
2 answers:
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Answer:
Step-by-step explanation:
The equation of a parabola in vertex form:
<em>(h, k)</em><em> - vertex</em>
The focus is
We have the vertex (2, -5) and the focus (2, -4).
Calculate the value of <em>a</em> using
<em>k = -5</em>
<em>add 5 to both sides</em>
<em>multiply both sides by 4</em>
Substitute
to the vertex form of an equation of a parabola:
The standard form:
Convert using
<em>use the distributive property: a(b+c)=ab+ac</em>
Answer:
This a circle centered at the point , and of radius "3" as it is shown in the attached image.
Step-by-step explanation:
Recall that the standard formula for a circle of radius "R", and centered at the point is given by:
Therefore, in our case, by looking at the standard equation they give us, we extract the following info:
1) since the radius must be a positive number and (
) is not a viable answer.
2) for (
) to equal
3) for (
) to equal
Therefore, we are in the presence of a circle centered at the point , and of radius "3". That is what we draw as seen in the attached image.
