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Evgen [1.6K]
3 years ago
12

What are the coordinates of point R​

Mathematics
1 answer:
Ratling [72]3 years ago
6 0
(5,3) is the correct option:)
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Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directric of x = -2?
vagabundo [1.1K]
Check the picture below.  So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\

\bf -------------------------------\\\\
\begin{cases}
h=3\\
k=1\\
p=5
\end{cases}\implies (y-1)^2=4(5)(x-3)\implies (y-1)^2=20(x-3)
\\\\\\
\cfrac{1}{20}(y-1)^2=x-3\implies \boxed{\cfrac{1}{20}(y-1)^2+3=x}

8 0
3 years ago
Read 2 more answers
If it is now 5:00 AM, what time will it be in 1000 hours
VikaD [51]

Answer:

9:00pm

Step-by-step explanation:

If now is 5:00 am

After 1000hrs

24hrs makes a day

1000hrs = 1000/24 = 41 days remainder 16hrs

Therefore 5:00 + 16 hrs = 2100 hr

= 9:00pm

I hope this was helpful, please mark as brainliest

5 0
3 years ago
Describe a graph of the height of the object over time.
s344n2d4d5 [400]

Answer: Projectile motion involves objects that are dropped, thrown straight up, ... pjm1. bracketleft. y = height t = time in seconds a = acceleration due to gravity ... Notice that this formula is a quadratic function, which means its graph will be a parabola.

Step-by-step explanation:

7 0
3 years ago
A circle has a radius of 9 ft. Find the length of s of the arc intercepted by a central angle of 97 degrees. Do not round any in
Sedaia [141]
\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle\ in\\
\qquad degrees\\
------\\
r=9\\
\theta = 97
\end{cases}\implies s=\cfrac{97\cdot \pi \cdot 9}{180}
3 0
4 years ago
$3.50 for 1/2 pound of cheese whats the cost for 1 pound
jeka57 [31]

Answer:

7 dollars

Step-by-step explanation:

Because 1/2 a pound is half of 1 pound and 3.50 is the value of half that pound, you can add 3.50 to 3.50 to get 7 dollars which is the value for 1 pound

6 0
3 years ago
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