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shtirl [24]
3 years ago
11

Q10 Q3.) Find the standard form of the equation of the ellipse satisfying the given conditions.

Mathematics
2 answers:
Wewaii [24]3 years ago
7 0

Given horizontal axis length is larger than the vertical axis length, the standard form of an ellipse is:

[(x-h)/a]^2 + {(y-k)/b]^2 = 1

where (h,k) is center; a and b are the major and minor axis

(h,k) = (0,0) and a=18, b=2

(x/18)^2 + (y/2)^2 = 1 is the standard form equation


Andrei [34K]3 years ago
4 0
Ellipse center (0,0) so its eqn is x^2/a^2 + y^2/b^2 = 1
major axis is horizontal n length 18
so at y=0, x=+/-18
a=18
minor axis is vertical n length 2
so at x=0, y=+/-2
b=2

ans is (x/18)^2 + (y/2)^2 = 1

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borishaifa [10]

The pattern is multiply by 5

2 x 5 = 10

10 x 5 = 50

50 x 5 = 250

250 x 5 = 1250

Answer

The next two terms: 250 and 1250


2, 10, 50,250, 1250


7 0
3 years ago
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When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?
padilas [110]

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4) = 4( 0.5x - 0.7x  + 2.5y - 1.3y + 4)

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8 0
3 years ago
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3 years ago
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude
Fantom [35]

Answer:

60 seconds, 7715 feet

Step-by-step explanation:

Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.

To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.

For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.

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3 years ago
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ivolga24 [154]

Answer:

D= 3

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7 0
2 years ago
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