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vova2212 [387]
4 years ago
14

Identify this conic section. 9x 2 + 4y 2 = 36 line hyperbola circle ellipse parabola

Mathematics
1 answer:
JulsSmile [24]4 years ago
5 0

Answer: It is ellipse

Step-by-step explanation:

To prove it,  divide both sides of the equation by  36.  You will get

x2/4+y2/9=1

It is the canonical equation of the ellipse.

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Calculate the principal amount which earns $500 simple interest over 3 Years at a rate of 8% p.a round to the nearest cent
timama [110]
$500 was earned over 3 years
so, to find one year
500 ÷ 3 = $166.67

Interest for one year is $166.67
Interest rate for one year is 8%

8% = 166.67
1% = $20.83
100% = $2083.33

Principal amount is $2083.33
7 0
3 years ago
If the cost of producing a product that sells for $50 is 120,000 plus $20.00 per piece, then how many products must be sold to b
Vadim26 [7]
Let
x--------->number of products
y1--------> <span>the cost of producing a product
y2------> </span><span>the cost of sell a product
</span><span>
we know that
y1=120,000+20x-------> equation 1
y2=50x------> equation 2

equate equation 1 and equation 2
120,000+20x=50x
50x-20x=120,000
30x=120,000
x=4000

the answer is
4000 pieces</span>
4 0
3 years ago
The cost of a movie ticket is $7. The cost is reduced to $5 for groups of 10 or more. How many people must be in a group for the
belka [17]
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7 0
3 years ago
In a​ survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Com
defon

Answer:

25

Step-by-step explanation:

8 0
3 years ago
If f(x)=8-5x, find each value<br> 1. f(4c)<br> 2. f(2-k)<br> 3. f(4p+3)<br> Please and thanks!
Studentka2010 [4]

Problem 1

We replace every copy of x with 4c and simplify like so:

f(x) = 8 - 5x

f(4c) = 8 - 5*4c

f(4c) = 8 - 20c is the answer

This is equivalent to -20c+8.

====================================================

Problem 2

Same idea as before, but this time we'll plug in x = 2-k

Each x gets replaced with (2-k)

f(x) = 8 - 5x

f(2-k) = 8 - 5(2-k)

f(2-k) = 8 - 10 + 5k

f(2-k) = -2 + 5k

This is the same as saying 5k - 2.

====================================================

Problem 3

The steps are similar to earlier.

f(x) = 8 - 5x

f(4p+3) = 8 - 5(4p+3)

f(4p+3) = 8 - 20p - 15

f(4p+3) = -7-20p

This is the same as writing -20p - 7.

7 0
1 year ago
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