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Maksim231197 [3]
3 years ago
13

Derive the equation of the parabola with a focus at (-5, 5) and a directrix of y = -1. (2 points) Please help

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0
We see that the the parabola opens up since directix is below the focus

for an parabolla opening up/down with vetex at (h,k) and the distance from teh vertex to the focus is p
(x-h)^2=4p(y-k)
the distance from vertex to directex is the same as from focus to directix

from (-5,5) and y=-1
that is  a vertical distance of 6
vertex is in the middle
6/2=3
5-3=2
the vertex is at (-5,2)
the distance is 3
(x-(-5))^2=4(3)(y-(2))
(x+5)^2=12(y-2)
y=\frac{1}{12}(x+5)^2+2

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I need answers I’ll cash app 10 dollars
posledela

1. 0 > 3x - 3 - 6

0 > 3x -9

9 > 3x

3 > x

It would be a closed circle starting from 3 going to the right.

2. 4x + 1 - 1 >/ -8

4x >/ -8

x >/ -2

It would be an open circle starting from -2 going to the right.

3. -1 </ 2n + 4 - 5

-1 </ 2n -1

0 </ 2n

Undefined.

4. -6 > 5n + 5 + 4

-6 > 5n + 9

-15 > 5n

-3 > n

It would be a closed circle going to the right

4 0
2 years ago
Solve the equation.
Hitman42 [59]
(x+4)(x+6)=0
x = -4, x=-6

The answer is C.
4 0
3 years ago
PLEASE HELP ME
asambeis [7]
For the equation y - x < 0,
y < x
The shaded portion will be under the dashed line joining points (-2, -2) and (3, 3).

for the equation x - 1 > 0,
x > 1
The shaded portion will be to the right of the dashed line joining points (1, 5) and (1, -3).

The portion affected by the two shadings will be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).
Therefore the correct answer is option c.
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3 years ago
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Hi!
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Symbol for 1 thousandth of a meter?
laila [671]

The micrometre (International spelling as used by the International Bureau of Weights and Measures;[1] SI symbol: μm) or micrometer (American spelling), alsocommonly known as a micron, is an SI derived unit of length equaling 1×10−6 of ametre (SI standard prefix "micro-" = 10−6); that is, one millionth of a metre (or one thousandth of a millimetre, 0.001 mm, or about 0.000039 inch).[1] The symbol μm is sometimes rendered as um if the symbol μ cannot be used, or if the writer is not aware of the distinction.<span>[citation needed]</span>

The micrometre is a common unit of measurement for wavelengths of infrared radiation as well as sizes of biological cells and bacteria and is also commonly used in plastics manufacturing.[1] Micrometres are the standard for grading wool by the diameter of the fibres; wool finer than 25 μm can be used for garments, while coarser grades are used for outerwear, rugs, and carpets.[2] The width of a single human hair ranges from approximately 10 to 200 μm. The first and longest human chromosome is 10μm in length.

Contents <span> [hide] </span><span><span>1Examples</span><span>2SI standardization</span><span>3Symbol</span><span>4See also</span><span>5<span>Notes and references</span></span></span>
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