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antoniya [11.8K]
3 years ago
6

Which quadrant does the following point lie (2, -1)

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

quadrant IV (4)

Step-by-step explanation:

It would be in quadrant for because the x value is positive, meaning that we can elminate the possibility that it is in quadrants 2 and 3, and as we can see the y has a negative value, meaning that it cannot be in quadrant 1. Hence, leaving the answer to be in quadrant 4.

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(Algebra 2 Conics):
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\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ -\cfrac{1}{4}(y+2)^2=x-7\implies -\cfrac{1}{4}[y-(-2)]^2=x-7 \\[2em] [y-(-2)]^2=-4(x-7)\implies [y-(\stackrel{k}{-2})]^2=4(\stackrel{p}{-1})(x-\stackrel{h}{7})


so h = 7, k = -2, meaning the vertex is at (7, -2).

the squared variable is the "y", meaning is a horizontal parabola.

the "p" distance is negative, for a horizontal parabola that means, it's opening towards the left-hand-side.

we know the focus and directrix are "p" units away from the vertex, and we know the parabola is opening horizontally towards the left-hand-side.

the focus is towards it opens 1 unit away, at (6, -2).

the directrix is on the opposite direction, 1 unit away, at (8, -2), namely x = 8.

8 0
3 years ago
I need to find the missing side (x). PLEASE HELP I HAVE UNTIL TOMORROW AT 10AM
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Step-by-step explanation:

I used the pythagorean theorem to solve for x.

12^2 - 7.71^2 = x^2

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U just move the decimal over and they would equal 3 and 0.1
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Help extra points really important to me ​
Naily [24]

Answer:

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=4w+3

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=2f*2f+2f*g-2f*3

=4f^2+2fg-6f

Step-by-step explanation:

7 0
3 years ago
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