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Mila [183]
3 years ago
9

Can you please help me with this

Mathematics
1 answer:
erastova [34]3 years ago
7 0
Well there are no specific numbers, but the area of a rectangle is the length x the width, and the width is the area ÷ the length.
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Find the vertices and foci of the hyperbola with equation quantity x minus five squared divided by eighty one minus the quantity
Papessa [141]
If you notice, the positive fraction, is the one with the "x" variable in it, that simply means, the hyperbola is opening over the x-axis, so is a horizontal one, therefore

\bf \textit{hyperbolas, horizontal traverse axis }
\\\\
\cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h\pm a,  k)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}
\end{cases}\\\\
-------------------------------

\bf \cfrac{(x-5)^2}{81}-\cfrac{(y-1)^2}{144}=1\implies \cfrac{(x-5)^2}{9^2}-\cfrac{(y-1)^2}{12^2}=1~~
\begin{cases}
a=9\\
b=12
\end{cases}
\\\\\\
c=\sqrt{9^2+12^2}\implies c=15\\\\
-------------------------------\\\\
vertices~~(5\pm 9,1)\implies 
\begin{cases}
(14,1)\\
(-4,1)
\end{cases}~~foci~~(5\pm 15,1)\implies 
\begin{cases}
(20,1)\\
(-10,1)
\end{cases}
3 0
3 years ago
A parabola has focus (0,3) and vertex at the origin. Write an equation of the parabola. Then find the value of x for which y-8=0
Ghella [55]

Thanks for using Brainly! .......

4 0
4 years ago
a total of 600 books were labelled A,B,C and D.Given that 1/4 of the book is labelled A and 3/10 of the book is labelled B.There
Marizza181 [45]

Answer:

255 is the answer........

5 0
3 years ago
The number of nuts in a can of mixed nuts is found to be normally distributed, with a mean of 500 nuts and a standard deviation
timofeeve [1]

Answer:

z = -2.85

Step-by-step explanation:

Since the number of nuts per can is normally distributed:

Mean number of nuts (μ)= 500 nuts

Standard Deviation (σ)= 20 nuts

X = 443 nuts

For any given number of nuts X, the z-score is given by:

z=\frac{X-\mu}{\sigma} =\frac{443-500}{20}\\z= -2.85

The z-score for this can of nuts with 443 nuts is -2.85.

3 0
3 years ago
Read 2 more answers
Mary takes 9 grapes from Robin and then decides to give 4 back Write a subtraction problem to describe how many grapes Robin has
GuDViN [60]

Answer:-9-(-4)

Step-by-step explanation:

You start with -9 and then then when u distribute the - to the -4 it will become - 9+ 4

5 0
4 years ago
Read 2 more answers
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