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kolezko [41]
3 years ago
5

3 digit largest number

Mathematics
1 answer:
leonid [27]3 years ago
6 0

Answer:

999 is the largest three-digit number

Step-by-step explanation:

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A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3
fgiga [73]

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7

8 0
2 years ago
Point P(−3, −4) is rotated 90° counterclockwise about the origin. What are the coordinates of its image after this transformatio
andreyandreev [35.5K]

The 90° CCW transformation is

... (x, y) ⇒ (-y, x)

For your point, this is ...

... (-3, -4) ⇒ (-(-4), -3) = (4, -3)

___

What boxes?

3 0
3 years ago
Read 2 more answers
)The equation of the line of best fit of a scatter plot is y = −4x − 6. What is the the y-intercept?
Gekata [30.6K]
Well the y-intercept is where a line crosses the y-axis 
y=-4x-6
think of it as y=mx+b
m is always going to be your slope 
b is always going to be your y-intercept
y-intercept of y=-4x-6
is -6


8 0
3 years ago
Read 2 more answers
What is the percent increase from 250 to 900?
Anon25 [30]

Answer:

1)Percent increase=(increase in amount/original amount)100

2)650/900*100

650/9=72.2%

3 0
3 years ago
Which set does not contain –3?
svet-max [94.6K]
A real number is any number that is rational, including integers and natural numbers. A rational number is any number that can be written as a ratio or isn't a square root of a number. An integer is any whole number (not including fractions) that exists, negative or positive. A whole number is the same as an integer except it only includes positive numbers. 
Since a set of whole numbers wouldn't be able to include any negative numbers, your answer would be your fourth option. 
Hope this helped you out! :-)

4 0
2 years ago
Read 2 more answers
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