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V125BC [204]
3 years ago
10

7) What is/are the center,

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

center: (0,0)

vertices: (-4,0) and (4,0)

foci: (-10.8,0) and (10.8,0)

asymptotes: y = -5/2*x and y = 5/2*x

Step-by-step explanation:

Hyperbola with center as origin general equation is:

x²/a² - y²/b² = 1

Our equation is:

25x² - 4y² = 400

Dividing each term by 400:

25x²/400 - 4y²/400 = 400/400

x²/16 - y²/100 = 1

which matches the general equation. Then, the center is (0,0)

a² = 16

a = 4

b² = 100

b = 10

c² = a² + b²

c = √(16+100) = 10.8

General vertices formula: (±a,0). Replacing, the vertices are: (-4,0) and (4,0)

General foci formula: (±c,0). Replacing, the foci are: (-10.8,0) and (10.8,0)

General asymptotes formula: y = ±b/a*x. Replacing, the asymptotes are:

y = -10/4*x = -5/2*x

y = 10/4*x = 5/2*x

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8 ones 9 hundredths - 3.4
Dima020 [189]
8 ones = 1 X 8 = 8
0 tenths = 0 X 1/10 = 0
9 hundredths = 9 X 1/100 = 0.09.

Now we can add everything together to obtain the value.

8 + 0 + 0.09 = 8.09.

Now we can find the difference between the 2 values.

8.09 - 3.40 = 4.69.

4.69 is the final answer.
5 0
3 years ago
The expression 3/6 kids the weight of an object onto the moon in pounds in weight
yawa3891 [41]
29.7 IBS and you would get it by doing 178.2/ 6
6 0
2 years ago
Althea has $100. She divides it evenly among her 4 children. Her oldest child, Raul, spends $15 of the amount he receives. How m
Ilya [14]

Answer:

Division then subtraction

Step-by-step explanation:

You divide the $100 to 4 people, which means they each get $25. Then you subtract $15 from $25

Not sure about the other one

3 0
2 years ago
Read 2 more answers
How does the rate of change of f(x)=3x+5 compare to the rate of change of g(x)=2x+5 ?
elena55 [62]
Do you know how to do it on your calculator?
6 0
3 years ago
In each of the following ,make y the subject and hence find the value of y when a=2, b=3 ,and c=4.
zvonat [6]

Part i


\dfrac{2a-7}{6y} = \dfrac{3b-5}{2c}


y = \dfrac{ 2c(2a-7)}{6(3b-5)} = \dfrac{c(2a-7)}{9b-15}


Substituting,

y = \dfrac{4(2(2)-7)}{9(3)-15} = \dfrac{ -12}{12} = -1


Answer: -1


Part ii


I'm not sure that one's typed in correctly but I'll solve it as written.


3-34y + 2a = \dfrac{3b-5}{2c + 1}


34y  = 3+2a-\dfrac{3b-5}{2c + 1}


y = \frac 1 {34}\left(3+2a-\dfrac{3b-5}{2c + 1} \right)


We're not asked to simplify it so I wont. Substituting,


y = \frac 1 {34}\left(3+2(2)-\dfrac{3(3)-5}{2(4) + 1} \right) = \frac 1 {34}(7-4/9) = \dfrac{59}{306}


Answer: 59/306



3 0
3 years ago
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