The directrix and focus of a parabola are shown on the graph. Which is an equation for the parabola?

Mathematics

2 answers:

Soloha48 [4]2 years ago

7 0

The answers is x=-3……….

raketka [301]2 years ago

4 0

So we know the focus and deritrix, so plug it into the distance formula

Square root all (x - 1)^2 (y- 3)^2 = (x + 5)^2 just do some algebra you will get x^2 -2x + 1 + y^2 - 6y + 9 = x^2 + 10x + 25, simplified you will get -12x - 15 = 6y - y^2. I’m pretty sure the answer is c

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Ismael made a scaled copy of the following

bixtya [17]

Answer:

Options (A), (B) and (C)

Step-by-step explanation:

In the given figure,

Length of side AD = 16 units

If this side is scaled by a factor = k

Then the length of the corresponding side will be = 16k

If 0 < k < 1,

Then length of the corresponding side will be less than 16.

[Example: If k = $\frac{1}{4}$

Therefore, scaled side of the corresponding side of the quadrilateral = $16\times \frac{1}{4}$ = 4]

That means length of corresponding sides may be 4, 6.5 and 12.

Options (A), (B) and (C) will be the answer.

8 0

3 years ago

Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

Ket [755]

Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 

\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=-1\\
x_1=2\\
m=\frac{3}{4}
\end{cases}\\
\textit{and move everything}\\
\textit{to the left-hand-side}
\end{array}\\

\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago

Final question!!!!!!!!!

Novay_Z [31]

Im pretty sure the Correct answer is D

I Could be Wrong Tho.

5 0

3 years ago

Read 2 more answers

Samantha ate a slice of cake that was a 12 degree wedge. If she eats the same amount of cake each day, how many days will it tak

Stels [109]

A circle has a total of 360°, if Samantha is eating 12° wedges off of it every day, then how many times does 12° go into 360°? 360/12, that many.