Step-by-step explanation:
inscribed angles subtended by the same arc are equal.
the central angle of a circle is twice any inscribed angle subtended by the same arc.
the first statement tells us that the 53° angle as well as y stay the same size no matter where on their arcs (between the 2 points connected to O) they would be. so, we don't need to bother with any line lengths.
the 2nd statement tells us that x = 2×53 = 106°. the 53° and x angles refer to the short arc on the right of the 2 points connected to O.
and y and x refer to the larger arc on the left of the 2 line connected to O. that means according to the second statement : 360-x (the big angle around O) = 2y
so,
360 - 106 = 2y
254 = 2y
y = 127°
Check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
The answer is -6x^2 + 7x, or answer choice A.
Using the number line, the numbers that are 9 units from -5 are: -14 and 4.
<h3>How to Locate a Number on a Number line?</h3>
To find two numbers that cover the same units from a given point on a number line, we can simply do the following:
- Count the number of units given backwards/to the left from the point stated to get the first number.
- Count the number of units given forwards/to the right from the point stated to get the second number.
Thus, we are asked to find the numbers that would be 9 units from -5, using the number line.
Count 9 units backwards/to the left from -5 to get the first number, which is: -14
Count 9 units forwards/to the right from the -5 to get the second number, which is: 4.
Therefore, the numbers that are 9 units from -5 on the number line, are: -14 and 4.
Learn more about number line on:
brainly.com/question/24644930
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