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4 years ago

(- x2 + 9xy) – (x2 + 6xy - 8y2) =

Mathematics

1 answer:

denpristay [2]4 years ago

8 0

Answer:

(15x- 8y)

Step-by-step explanation:

"y2" was replaced by "y^2"

((0-(x2))+9xy)+(((x2)+6xy)-23y2)

15xy - 8y2

= y • (15x - 8y)

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0.13846153846

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George Costanza is standing on top of a lighthouse that is 210 feet high. He sees his friends Jerry and Kramer in a boat. The an

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Answer:

412.15 ft to the nearest hundredth

Step-by-step explanation:

You have to use the tangent function since you are given one leg of a right triangle and you are looking for the other leg

Let x = the distance from boat to lighthouse

So, tan 27 = 210/x

x tan 27 = 210

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3 years ago

In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity y plus 16 end qu

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Explanation:

The equation of comet E is given below as

$\frac{(y+16)^2}{400}+\frac{x^2}{144}=1$

The equation of comet H is modelled below as

$\frac{(y+13)^2}{144}-\frac{x^2}{25}=1$

Given, that the Sun is located at the origin.

This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.

Comparing with the Standard equation of ellipse: below,we will have

$\frac{(y-k)^2}{b^2}+\frac{(x-h)^2}{a^2}$

Whise center is

$\begin{gathered} center=(h,k) \\ vertices=(h\pm a,0) \end{gathered}$

By comparing coefficient, we will have

$\begin{gathered} a^2=144 \\ a=12 \\ b^2=400 \\ b=20 \\ k=-16 \\ h=0 \\ (h,k)=(0,-16) \end{gathered}$

Hence,

The vertex of comet E will be

$\begin{gathered} (h\pm a,0) \\ (0+12,0),(0-12,0) \\ (12,0),(-12,0) \end{gathered}$

The vertex of comet E is

$(12,0),(-12,0)$

Part C:

It is the foci forboth comets

$\begin{gathered} cometE: \\ c=\sqrt{b^2-a^2} \\ c=\sqrt{400-144} \\ c=\sqrt{256} \\ c=16 \\ \\ For\text{ comet F:} \\ c=\sqrt{a^2-b^2} \\ c=\sqrt{144+25} \\ c=\sqrt{169} \\ c=13 \end{gathered}$

Hence,

The foci will be

$\begin{gathered} (16\pm16,0) \\ cometE \\ (0,0),(32,0) \\ cometF: \\ (13\pm13,0) \\ (0,0),(26,0) \end{gathered}$

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1 year ago

Alexa started a race with 50 meter head start she ran at a rate of 6.25 per second after how many seconds was Alexa 200 meters p

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She will finish in 24 seconds because 50-200 =150 then 150/6.25=24 seconds

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Answer:

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have a great day

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