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Alex787 [66]
2 years ago
15

What is the simplest form of x2+5x-6/x2+9x+18

Mathematics
1 answer:
Paladinen [302]2 years ago
3 0

Answer:

(x+2) (x^2+12x-6)/x

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The surface are I cannot find
Ilia_Sergeevich [38]

check the picture below.


so the triangular prism is really just 3 rectangles and 2 right-triangles,

now, we know the base of one of the triangles is 2.6, what's its height?

since it's a right-triangle, we can simply use the pythagorean theorem to get "h".


\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad
\begin{cases}
c=\stackrel{hypotenuse}{5.2}\\
a=\stackrel{adjacent}{2.6}\\
b=\stackrel{opposite}{h}\\
\end{cases}
\\\\\\
\sqrt{5.2^2-2.6^2}=h\implies 4.5\approx h


so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.


\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)}
\\\\\\
11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft

5 0
2 years ago
Read 2 more answers
Kayleigh wants to buy a car that costs $13,080.00. She deposits $12,000.00 into a savings account that earns 3% simple interest.
Ipatiy [6.2K]
The formula is
A=p (1+rt)
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P amount deposited 12000
R interest rate 0.03
T time?
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T=[(A/p)-1]÷r
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Answer:

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Step-by-step explanation:

volume of a cylinder = nr^2h

3.14 x 2^2 x 6 = 75.36 in^3

75.36 x 3 = 226.08

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3 years ago
Solve for x please show work
Serggg [28]

Answer:

I am seeing you a LOT

Step-by-step explanation:

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2 years ago
Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the
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0.05(0.85y)=5%(of the onsale dvd) and a is just the on sale dvd (85%)
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