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Annette [7]
3 years ago
15

Write this equation in standard form 9x^2-4y^2-24y-72=0

Mathematics
1 answer:
Xelga [282]3 years ago
4 0
9x^2-4y^2-24y-72=0\\
\\
9x^2-4y^2-24y=72\\
\\
9x^2-(4y^2+24y+36)=72-36\\
\\
9x^2-4(y+3)^2=36\\
\\
\frac{9x^2}{36}-\frac{4(y+3)^2}{36}=\frac{36}{36}\\
\\
\boxed{\frac{x^2}{4}-\frac{(y+3)^2}{9}=1}
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What would happen to an annual payment if the APR charged was decreased
Xelga [282]

Answer

The annual payment will consequently decrease

Step-by-step explanation:

If the APR charged say on a mortgage loan is decreased, then the total repayments due will as a consequence decline provided the repayment term remains unaltered. Nevertheless, a decline in total repayments due amounts to a decrease in the annual repayments

8 0
3 years ago
Math how many models of 100 do u need to to model 3,200 explain
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4 0
3 years ago
X is directly proportional to the cube of y <br> when x=32 y=0.4 <br> find the value of y when x=256
Stella [2.4K]

Answer: 0.512

Step-by-step explanation:

256/32=8

8*(0.4)^3=

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4 0
1 year ago
Carl ran around the track 3 more times than Daria and 2 fewer times than Erin. When they were done they added up the number of l
Paul [167]

Answer:

Total laps = 10d

Step-by-step explanation:

Let c = Carl's laps

d = Daria's laps

e = Erin's laps

c = 3d

c = e/2

c + d + e = totals laps

We can insert 3d in place of c in the third equation

3d + d + e = total laps

Also, e/2 equals 3d

e/2 = 3d

Multiply both sides by 2

(e/2 = 3d)2

e = 6d

Insert the new e

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3 0
2 years ago
Find cos0 where 0 is the angle shown. Give an exact value, not a decimal approximation.​
bogdanovich [222]

Answer:

cos(∅) = 3/5

Step-by-step explanation:

cos(∅) = adjacent/hypotenuse

We don't know what the hypotenuse is so we gotta use Pythagorean theorem to find it.

a² + b² = c²

4² + 3² = c²

√(4² + 3²) = c

c = 5  ,  this is our hypotenus

cos(∅) = adjacent/hypotenuse

cos(∅) = 3/5

8 0
3 years ago
Read 2 more answers
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