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puteri [66]
3 years ago
11

Please help !! Will grant brainliest ..

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
5 0

(3,3)

(9,4)

(3,5)

(4,4)

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Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5.
Elena-2011 [213]
Let's notice, the focus is at (5,0) and the directrix at x = -5.

keep in mind that there's a distance "p" from the vertex to either of those fellows, therefore, if the focus is at 5,0 and the directrix x = -5, the vertex is half-way between them, check the picture below.

notice the distance "p" there, now, is a horizontal parabola, opening to the right, meaning the value for "p" is positive, or just 5, thus

\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}\\\\
-------------------------------\\\\
\begin{cases}
h=0\\
k=0\\
p=5
\end{cases}\implies (y-0)^2=4(5)(x-0)\implies y^2=20x
\\\\\\
\cfrac{y^2}{20}=x\implies \cfrac{1}{20}y^2=x

8 0
3 years ago
What is the perimeter of a rectangle with vertices located at (-3,-1). (5.-1). (5,9), and
dezoksy [38]

Answer:

36 units

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following.
yaroslaw [1]
4. Since f(x) = 2x - 1, we are looking for h(2x - 1), which is (2x-1)^2 + 1. By tha time you expand this you'll get, 4x^2 - 4x + 2. So that is the answer.
5. f(f(x))  = f(2x - 1) = 2(2x - 1) - 1 = 4x - 3
6. h(g(x)) = h(3x) = (3x)^2 + 1 = 9x^2 + 1

8 0
3 years ago
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vodomira [7]
Volume formula is WxHxL so 3/2 times 4 times 1/2 is 3, the answer is 3 cm^3
3 0
2 years ago
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees. What is the measure of the sixth angle?
Kisachek [45]

Answer:

x = 134

Step-by-step explanation:

Given that,

Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.

We know that,

The sum of interior angles of a hexagon must equal 720 degrees.

So,

119+129+104+139 +95+x = 720

Where

x is the sixth angle

So,

586+x=720

x = 720-586

x = 134

So, the sixth angle is equal to 134.

5 0
3 years ago
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