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amm1812
3 years ago
15

Frank Friedman writes a $45 check, but his account has only $20 in it. He must also pay Central City Power and Water charges $25

for returned checks. Which of the following represents the amount Frank must have to balance his debts.
Mathematics
2 answers:
bogdanovich [222]3 years ago
7 0
At least $70
Trust me, this is right
rusak2 [61]3 years ago
3 0
Id say it has to be atleast 70
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Write an equation of the hyperbola given that the center is at (2, -3), the vertices are at (2, 3) and (2, - 9), and the foci ar
zavuch27 [327]
Check the picture below.

so, the hyperbola looks like so, clearly a = 6 from the traverse axis, and the "c" distance from the center to a focus has to be from -3±c, as aforementioned above, the tell-tale is that part, therefore, we can see that c = 2√(10).

because the hyperbola opens vertically, the fraction with the positive sign will be the one with the "y" in it, like you see it in the picture, so without further adieu,

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

\bf \begin{cases}
h=2\\
k=-3\\
a=6\\
c=2\sqrt{10}
\end{cases}\implies \cfrac{[y- (-3)]^2}{ 6^2}-\cfrac{(x- 2)^2}{ b^2}=1
\\\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ b^2}=1
\\\\\\
c^2=a^2+b^2\implies (2\sqrt{10})^2=6^2+b^2\implies 2^2(\sqrt{10})^2=36+b^2
\\\\\\
4(10)=36+b^2\implies 40=36+b^2\implies 4=b^2
\\\\\\
\sqrt{4}=b\implies 2=b\\\\
-------------------------------\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 2^2}=1\implies \cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 4}=1

3 0
2 years ago
A car uses a litre of petrol to travel 4km. How many litres will it use to travel 32 kilometres.
lesya [120]

Given that,

A car uses a litre of petrol to travel 4 km.

To find,

How many litres will it use to travel 32 kilometres.

Solution,

We have,

1 litre = 4 km

or

1 km = (1/4) litre

Let it will use x litres to travel 32 km.

32 km = (32/4) litres

= 8 litres

Hence, 8 litres it will use to travel 32 km.

3 0
3 years ago
Determine the missing information in the paragraph proof.
iren [92.7K]

Answer:

The answer is A.

Step-by-step explanation:

(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1

7 0
3 years ago
Read 2 more answers
Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69​% of the album is​ empty, ho
mel-nik [20]

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

4 0
2 years ago
(A) Husbands tend to have wives whose age is 85% of their own.
shusha [124]

Answer:answer is A

Step-by-step explanation:

husbands ten to have winve whose age is 85% of their own

I took the test!

please give me brainly

6 0
3 years ago
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