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vitfil [10]
3 years ago
6

A rocket is launched from ground level. The height of the rocket can be

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer: 11.25 secs

Step-by-step explanation:

So in this sense the rockets origin or the ground is modeled at h=0 so the time required if used on a table shows that h=0 between the values of 11 and 12. So if you plug and chug decimal values between these two values you get exactly 0 at t=11.25 so it takes approximately 11.25 seconds for the rocket to return to the ground

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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
Evaluate (x-a+3) if the value of x is (a+7).
Nikitich [7]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
11
BaLLatris [955]
<h3>Answer:</h3>

x=30

<h3>Solution:</h3>
  • First, use the distributive property:
  • 8x-3(2x-4)=3(x-6)
  • 8x-6x+12=3x-18
  • Simplify:
  • 2x+12=3x-18
  • 2x-3x=-12-18
  • -x=-30
  • x=30

Hope it helps.

Do comment if you have any query.

8 0
2 years ago
I need to find the distance!whats the distance?
posledela

Answer:

Exact Form:

√ 61  (square root )

Decimal Form:

7.81024967 …

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

6 0
2 years ago
Find: AABCD in square units
s2008m [1.1K]
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