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Vsevolod [243]
3 years ago
15

Which is the equation of an ellipse centered at the origin with foci on x-axis, x-intercepts +7, -7 and y-intercepts +2,

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0
We know that
<span>foci on x-axis-------> is a ellipse with horizontal major axis

the equation is
(x</span>²/a²)+(y²/b²)=1

major axis is th<span>e </span>x<span>-axis with length </span><span>2<span>a
2a=14--------> a=7

</span></span>minor axis is the y<span>-axis with length </span><span>2<span>b
2b=4-----> b=2

the equation is
</span></span>(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1

the answer is
(x²/49)+(y²/4)=1

see the attached figure

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In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth
solong [7]

The measure of the side x is approximately 33 and the measure of angle Y is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}

x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}

x \approx 33

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\frac{\sin Y}{y} = \frac{\sin X}{x}

Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)

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Y \approx 12.321^{\circ}

The measure of the side x is approximately 33 and the measure of angle Y is approximately 12.321°. \blacksquare

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2 years ago
a manned rocket accelerates at a rate of 20 m/s2 during launch How long does it take the rocket reach a velocity of 400 m/s?
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Answer:

Step-by-step explanation:

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t = 400 / 20

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