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AleksAgata [21]
3 years ago
9

Find the equation of the ellipse with the following properties. The ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8)

and (0, -8).
Mathematics
1 answer:
sesenic [268]3 years ago
8 0
Hi, thank you for posting your question here at Brainly.

The general equation of a horizontal ellipse is

(x-h)2/a2 + (y-k)2/b2 = 1, at center (h,k) while a = semi-major axis, b = semi-minor axis. These are related through the distance of the focus from the center,c. a2 = b2 + c2.

If you draw the points on a coordinate plane, the center of the ellipse is at (0,0), so h and k equals 0. Then, the minor axis (2b) spans from 8 to -8 of the y-axis. This is equal to 16 units. Hence,

2b = 16
b = 8
b^2 = 64

The distance between the two foci is 2c. Thus,

2c = 12
c = 6
c^2 = 36

Then, a2 = 64 + 36 = 100. Substituting to the general equation:

x^2/100 + y^2/64 = 1
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33 1/3% of what number is 32?
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Answer:

96

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Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent t
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y=  3x + 8

Step-by-step explanation:

y = mx + b

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8 0
2 years ago
Find the area bounded by the curves x = y2 - 4y and x = 2y - y2. Your work must include an integral in one variable.
kaheart [24]
<span>The curves x = y^2 - 4y and x = 2y - y^2 are two parabolas with vertices (-4,2) and (1,1), respectively.
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The solutions (0,0) and (-3,3) of system \left \{ {{x = y^2 - 4y } \atop {x = 2y - y^2 }} \right. give the common points of these parabolas.
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4 0
2 years ago
Becca polled the members of her volleyball team to see what their opinions were regarding the awards banquet. Her results were:
leva [86]

Based on the total number of people who want the steakhouse option, the probability that a student will not want the seafoodbuffet if they want the steakhouse option is 24%

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The probability that a student does not want the seafood buffet given that they want the steakhouse option is:

= Number of people who want steakhouse but not seafood / Total surveyed

Solving gives:

= 9 / (16 + 8 + 9 + 4)

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Full question is:

If a student wants the steakhouse option, what is the probability that they will not want the seafoodbuffet?

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8 0
1 year ago
What is -3/4 + 3/8? Thanks.
AURORKA [14]

Answer:

-  \frac{3}{8}

Step-by-step explanation:

First, we change both denominators to the LCM (lowest common multiple) which is 8.

-  \frac{3}{4}  +  \frac{3}{8}  =  -  \frac{6}{8}  +  \frac{3}{8}

Since the denominators are the same, we can add the numerators.

\frac{ - 6 + 3}{8}

\frac{ - 3}{8}

or it can be written as

-  \frac{3}{8}

7 0
2 years ago
Read 2 more answers
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