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lozanna [386]
3 years ago
7

I need to know how you can solve it

Mathematics
1 answer:
notka56 [123]3 years ago
5 0
Which one do you need help with?
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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
Please answer correctly !!!! Will mark brainliest !!!!!!
Musya8 [376]

Answer:

h(r) = 6(r+1)+10

Step-by-step explanation:

Just solve for q. Because that's the output. h(r) = q

3 0
2 years ago
Read 2 more answers
A line passes through the point (-8, 6) and has a slope of -5/4.
Margarita [4]

Answer:

y = -5/4x - 4

Step-by-step explanation:

Plug in 6 for y and -8 for x. Then solve for b or "y-intercept". You should get -4

5 0
3 years ago
Read 2 more answers
Answer 15 points <br> ( don’t answer if you don’t the answer )
BabaBlast [244]

Answer:

V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.

Step-by-step explanation:

The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared.  The volume of figure 2 would be 1005.30965

the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741

hope this helps! (Also please make me brainliest if this helps u :) )

8 0
2 years ago
For an arts and crafts project, a student cut a triangle out of a rectangular piece of paper. If the triangle has a base of 6 in
BartSMP [9]
Area of left over paper=area of rectangle - area of triangle =132-24 =108inches^2
5 0
3 years ago
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