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Sergio [31]
3 years ago
8

Find the equation of the ellipse with the following properties:

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer: The equation of an ellipse:

(

x

−

h

)

2

a

2

+

(

y

−

k

)

2

b

2

=

1

;

a

>

b

Has vertices at

(

h

±

a

,

k

)

Has foci at

(

h

±

√

a

2

−

b

2

,

k

)

Use the vertices to write 3 equations:

k

=

4

[1]

h

−

a

=

−

6

[2]

h

+

a

=

10

[3]

Use equations [2] and [3] to solve for h and a:

2

h

=

4

h

=

2

a

=

8

Use the focus to write another equation:

8

=

h

+

√

a

2

−

b

2

Substitute values for h and a:

8

=

2

+

√

8

2

−

b

2

6

=

√

64

−

b

2

36

=

64

−

b

2

b

2

=

64

−

36

b

2

=

28

b

=

√

28

Substitute the values into the standard form:

(

x

−

2

)

2

8

2

+

(

y

−

4

)

2

(

√

28

)

2

=

1

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vekshin1
-7.
5x-3 = -15
-15-4\4= -16
-16 + 9 = -7
6 0
3 years ago
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A basketball team took a total of 100 shots. One player took 70% of all 100 shots, and
NemiM [27]

The player took a total of 70 shots and missed about 28 shots.

<h3>Percentage</h3>

Percentage is used in expressing a fraction number or decimal in fraction of 100. It is expressed using the '%' sign.

Given a total shot of 100, since the player took 70% of the shot, hence:

Total shot taken by the player = 70% of 100 = 0.7 * 100 = 70 shots.

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The player took a total of 70 shots and missed about 28 shots.

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4 0
2 years ago
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The half life of a certain substance is about 4 hours. The graph shows the decay of a 50 gram sample of the substance that is me
olga55 [171]
I can't see how any of those formulas show exponential decay.  (Did you type those correctly?)

The formula that will show the remaining amount correctly is:
ending amount = Bgng Amount / 2^n
where "n" is the number of haf-lives.

So, for example if half life = 4 hours and if we want to calculate the amount after 9 hours (that's 2.25 half-lives) then:
ending amount = Bgng Amount / 2^n
ending amount = 50 / (2^(9/4))
ending amount = 50 / 2^2.25
ending amount = 50 / <span><span><span>4.75682846 </span>
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7 0
3 years ago
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9. Todd makes $9.25 per hour plus a $50 bonus. Todd made $235 this week.
Daniel [21]

Answer:

20 hours

Step-by-step explanation:

use this linear equation

y = 9.25x + 50

plug in 235 for y and solve for x

235 = 9.25x + 50

185 = 9.25x

20 = x

so he worked for 20 hours

hope this helped <3

8 0
3 years ago
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tankabanditka [31]
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4(x^2 - 2) = 4x^2-9
4 0
3 years ago
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