Calculate the distance between (−3 + 4i) and (3 −3i) on the coordinate plane.
1 answer:
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If the measure of an angle "θ" is 7(π/6), then it's equivalent measurement in degrees is 210°.
As per question statement, we have an angle "θ" whose measurement in radians is 7(π/6). We have to convert this radians into its equivalent measurement in degrees. Thus, to solve this question, we will have need to know the relation between radians and degrees, which goes as,
("π" Radian = 180°).
Then, we will apply unitary method to our provided data and use the above-mentioned relation to obtain our desired answer, i.e.,
π Radian = 180°,
then, 7π Radian = °,
Then, 7(π/6) Radian = °.
- Radian: This is an unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius.
- Degrees: This is another unit of measurement of angles, one unit of this being equal to one three-hundred-and-sixtieth of the circumference of a circle.
To learn more about Radians and Degrees, click on the link below.
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Answer:
The coefficient of the squared term of the equation is 1/9.
Step-by-step explanation:
We are given that the vertex of the parabola is at (-2, -3). We also know that when the <em>y-</em>value is -2, the <em>x-</em>value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.
Since we are given the vertex, we can use the vertex form:
Where <em>a</em> is the leading coefficient and (<em>h, k</em>) is the vertex.
Since the vertex is (-2, -3), <em>h</em> = -2 and <em>k</em> = -3:
Simplify:
We are also given that <em>y</em> = -2 when <em>x</em> = -5. Substitute:
Solve for <em>a</em>. Simplify:
Therefore, our full vertex equation is:
We can expand:
Simplify:
The coefficient of the squared term of the equation is 1/9.