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stiv31 [10]
2 years ago
7

15 points for someone who can answer & explain this to me thanks

Mathematics
1 answer:
iris [78.8K]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

\frac{9}{a^2+9a+20} , \frac{7a}{a^2+11a+28}

Factor the denominators of both fractions

\frac{9}{(a+4)(a+5)} , \frac{7a}{(a+4)(a+7)}

The lowest common denominator of both fractions is (a + 4)(a + 5)(a + 7)

Multiply numerator/denominator of first fraction by (a + 7)

Multiply numerator/denominator of second fraction by (a + 5 )

\frac{9(a+7)}{(a+4)(a+5)(a+7)} , \frac{7a(a+5)}{(a+4)(a+5)(a+7)} , then

\frac{9a+63}{(a+4)(a+5)(a+7)} , \frac{7a^2+35a}{(a+4)(a+5)(a+7)}

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6 0
3 years ago
Find the length of the cardioid r=5+5cosθ.
ipn [44]
Hello,

r=5(1+cos t)

r'=5(-sin t)

r²+r'²= 25[(1+cos t)²+(-sin t)²]=50(1-cos t)=50 sin² (t/2)
Between 0 and π, sin x>0 ==>|sin x|=sin x
l= 2*5* \int\limits^{\pi}_0{sin( \frac{t}{2} )} \, dt= 5[-cos (t/2)]_0^{\pi}\\\\
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Here is the method but i may have make some mistakes.






3 0
3 years ago
Pls help! I don’t understand bc I’m not smart-
Ipatiy [6.2K]

Answer:

78.5 m²

Step-by-step explanation:

The formula to find the area of a quarter of a circle: \frac{1}{4} * \pi * r^{2}, where r is the radius (diameter ÷ 2) and the \pi is alterable.

1) Substitute the given values into the formula.

= \frac{1}{4} * 3.14 * 10^{2}

2) Solve it.

= \frac{1}{4} * 314

= 78.5

3) Round it off to the nearest tenth. In this case, it has already been rounded off.

8 0
2 years ago
Han is in training for a marathon. One day, Han ran 8 miles. The next day, he plans to run that same distance plus half as much
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Answer:

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6 0
2 years ago
Divide 4^2/4^6
deff fn [24]

Step-by-step explanation:

=  {4}^{2}  \div  {4}^{6}

=  {4}^{2 - 6}

=  {4}^{ - 4}

Option → C

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=  {4}^{ - 4}

=  \frac{1}{ {4}^{4} }

=  \frac{1}{4 \times 4 \times 4 \times 4}

=  \frac{1}{256}

Option → A

6 0
3 years ago
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