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finlep [7]
3 years ago
14

What is the equation in standard form of an ellipse centered at the origin and vertex (1,0) and focus (4,0)

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
3 0
The correct question is
<span>What is the equation in standard form of an ellipse centered at the origin and vertex (4,0) and focus (1,0)
</span>

we know that
<span>Standard form of equation for an ellipse with horizontal major axis is
(x-h)</span>²/a²+(y-k)²/b²=1
the center is the origin
so
(h,k) is (0,0)<span>length of horizontal major axis------> 8=2a-----> a=4
a</span>²=16
c=1 (distance from center to focal point)
c²=1
b²=a²-c²-----> b²=16-1----> b²=15

the equation is
(x)²/16+(y)²/15=1

the answer is
(x)²/16+(y)²/15=1


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Write 14/√2 + √50 in the form b√2 where b is an integer.
kifflom [539]

Answer:

12 \sqrt{2}

Step-by-step explanation:

Taking the terms one at a time,

\frac{14}{ \sqrt{2} }  \\   \frac{14 *  \sqrt{2} }{ \sqrt{2} *  \sqrt{2}  }  \\   \frac{14  \sqrt{2} }{2}  \\  7 \sqrt{2}

\sqrt{50} \\  \sqrt{25 * 2} \\  \sqrt{25}*  \sqrt{2}    \\ 5 *  \sqrt{2}   \\ 5 \sqrt{2}

Adding the terms, you have;

7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2}

Hope it helps!

I'm out!

3 0
3 years ago
Read 2 more answers
Can someone help me how to solve this please<br> 200/50*17/2*5/17*50
Reptile [31]

Answer:

500

Step-By-Step Explanation:

200/50 = 4

4 * 17 = 68

68 / 2 = 34

34 x 5 = 170

170 / 17 = 10

10 x 50 = 500

8 0
3 years ago
Simplify.<br><br> (-5.12) - (-4.7) + (7.021)<br><br> 6.79<br> 6.601<br> -2.799
liq [111]
The answer is 6.601, and therefore, the second option.
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Which systems of equations have infinite solutions
Zolol [24]
N3Y+7 can have infinate solutions
4 0
3 years ago
As used in line 53, "dominion" most nearly means
drek231 [11]

Choice B - Supremacy

As used in line 53, "dominion" most nearly means supremacy.

In the first paragraph of Passage 2, when discussing changing social relations, Mill writes that in her time there was "a just equality, instead of the supremacy of the strongest." In this context of a society where some once had much more power than others, the word "dominion" almost means superiority or greater power.

Choices A, C, and D are incorrect because, in the context of a paragraph discussing differences in the amount of power members of a society have, "dominion" means dominion or greater power, not omnipotence or the state of being all-powerful (choice A), possession ( choice C) or territory (choice D).

For more information about dominion, visit

brainly.com/question/11588378

#SPJ4

6 0
2 years ago
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