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raketka [301]
3 years ago
12

Can someone help with number 13 ? I will give a brainly !!

Mathematics
1 answer:
Lostsunrise [7]3 years ago
5 0
This picture should help, i graphed it for you! : )

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Find the equation of the ellipse with the following properties. The ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8)
sesenic [268]
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
8 0
3 years ago
I need help on this plz ​
Shalnov [3]

Answer:

x = 3

Step-by-step explanation:

You can use cross multiply.

8x = 6 x 4

8x = 24

x = 3

7 0
3 years ago
Read 2 more answers
Please help!<br> What is ​ 4 9/10 ​ expressed as a decimal?<br><br> Enter your answer in the box.
enyata [817]

Answer:

4.9

Step-by-step explanation:

4 9/10

9/ 10 = 0.9

So 4.9

3 0
3 years ago
Read 2 more answers
A cylindrical rainwater tank is 1.5 m tall with a diameter of 1.4 m. What is the maximum volume of rainwater it can hold??
Ket [755]

To work out the volume of a prism, you multiply the area of cross-section by the height (or length).

So for a cylinder, you work out the area of the circle and then multiply it by the height.

Area of circle (or cross-section) = π × radius²

                                                = π × 0.7²

                                                = 0.49π   m²

Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:

Volume = 0.49π × 1.5

            = 2.3 m³  (accurate to 2 decimal places)

---------------------------------------------------------------

Answer:

The maximum volume of rainwater the cylinder can hold is:

<u> </u><u>2.3 </u><u>m³</u>

7 0
4 years ago
A bird descends at the rate of 10 ft/min. How long will it
MakcuM [25]

Answer:

30 minutes

Step-by-step explanation:

300/10= 30

Hope this helps! :)

8 0
3 years ago
Read 2 more answers
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