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Firdavs [7]
3 years ago
12

Answer for question

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
The answer is 4320 cubic inches
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Find the equation of the parabola with focus (5, 1) and directrix y = -1.
Mumz [18]
Check the picture below.

since the focus point is above the directrix, that simply means the parabola is a vertical one, and therefore the square variable is the "x".

keeping in mind that, there's a distance "p" from the vertex to either the focus point or the directrix, that puts the vertex half-way between those fellows, in this case at 0, right between 1 and -1, as you see in the picture, and the parabola looks like so.

since the parabola is opening upwards, the value for "p" is positive, thus

\bf \textit{parabola vertex form with focus point distance}
\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\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=5\\
k=0\\
p=1
\end{cases}\implies 4(1)(y-0)=(x-5)^2
\\\\\\
4y=(x-5)^2\implies  y=\cfrac{1}{4}(x-5)^2

8 0
3 years ago
Which of the following expressions is a factor of the polynomial x 2 +3/2x-1
Elodia [21]

Answer:

\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }

Step-by-step explanation:

Hello,

let's solve

x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\

\Delta=b^2-4ac=9+4*2*2=9+16=25

There are two solutions

x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}

And

x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}

So we can write

x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
Plz answer the question below
solmaris [256]

X equal to 6 plus 1 by 3 which is 19 by 3 is the answer which is also a improper fraction

7 0
3 years ago
Read 2 more answers
A boy of 30 kg is carrying a load of 20 kg to the top of a building of height 13m . Find his total work done . If he can do it i
r-ruslan [8.4K]

Step-by-step explanation:

g of load= 30 kg ( kilogram)

load at top of building=20 kg( kilogram)

building height=13 m(meter)

<h2>or"= total work done=?</h2>

<h3> or"=. power developed by him= ? </h3>

now ,

30*20*13÷20

again ,30*20*13

________

20

answer,= 390

5 0
3 years ago
How many solutions does the equation have?
Shtirlitz [24]
6 - a = 1/3(9a - 18)
6 - a = 3a - 6
-a - 3a = -6 - 6
-4a = -12
a = -12/-4
a = 3..........one solution
8 0
3 years ago
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