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3 years ago

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George is six years younger than half of aidans age. How old is George if the sum of their ages is 21?

1 answer:

jok3333 [9.3K]3 years ago

4 0

Answer:

george is 7 and 6 months old

Step-by-step explanation:

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Plsss guys I have it due tomorrow? Plss helpp

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Answer:

the ladder in my house.

Step-by-step explanation:

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4 years ago

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The center of an ellipse is (-9,3). one focus is (-7,3). The major axis is 24 units long. What is the equation of the ellipse in

CaHeK987 [17]

Answer:

$\frac{(x+9)^2}{144}+\frac{(y-3)^2}{140}=1$

Step-by-step explanation:

The standard equation of the ellipse is

$\frac{(x-\alpha)^2}{a^2}+\frac{(y-\beta)^2}{b^2}=1\;\cdots(i)$

where, $(\alpha, \beta)$ is the center and a,b are semi axes of the ellipse along x-axis and y-axis respectively.

Given that, $(\alpha, \beta)=(-9,3)$ and major axis, $2a=24$ .

So, semi major axis, $a=24/2=12$ .

Now, focus of the ellipse is (-7,3).

Let $e$ be the eccentricity of the ellipse,

So, $e=\frac c a$

where $c$ is the distance between the center and focus of the ellipse.

By using the distance formula,

$c=\sqrt{(-9-(-7))^2+(3-3)^2}=2$

$\Rightarrow e=\frac {2}{12}=\frac{1}{6}\;\cdots(ii)$

Again, the relationship among $a,b$ and $e$ is

$e=\sqrt{1-\frac{b^2}{a^2}$

$\Rightarrow \frac{1}{6}=\sqrt{1-\frac{b^2}{(12)^2}$ [from equation (ii)]

$\Rightarrow \frac{1}{36}=\sqrt{1-\frac{b^2}{144}$ [squaring on both the sides]

$\Rightarrow \frac{b^2}{144}=1-\frac{1}{36}$

$\Rightarrow b^2=\frac{35}{36}\times144=140$

So, the value of square of semi-minir axis, $b^2=140$ .

Hence, from equation (i), the equation of required ellipse is standard form is

$\frac{(x-(-9))^2}{144}+\frac{(y-3)^2}{140}=1$

$\Rightarrow \frac{(x+9)^2}{144}+\frac{(y-3)^2}{140}=1$

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3 years ago

What is 2 divided by 707

umka21 [38]

2 / 707 = 0.0028288543140028

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4 years ago

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Given this rectangular prism with length

34kurt

Answer: width = 36 m

Step-by-step explanation:

Width = Volume / (height x length)

Width = 13500 / (25 x 15)

= 13500/375

= 36 m

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3 years ago

Given square ABCD, which line segment could be an image of side AD using only a translation?

ArbitrLikvidat [17]

Answer:

The second one

Step-by-step explanation:

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3 years ago