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ICE Princess25 [194]
2 years ago
9

Will give brainliest plz help

Mathematics
1 answer:
Dominik [7]2 years ago
6 0

Answer:

\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1

Step-by-step explanation:

Given:

Center of the ellipse is, (h,k)=(-4,-3)

Minor axis length is, 2b=6

A vertex of the ellipse is at (1, -3)

Now, distance between the center and the vertex is half of the length of the major axis.

Using distance formula for (-4, -3) and (1, -3), we get:

a=\sqrt{(1+4)^2+(-3+3)^2}=5

Therefore, the value of half of major axis is, a=5. Also,

2b=6\\b=\frac{6}{2}=3

Now, equation of an ellipse with center (h,k) is given as:

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1

Plug in h=-4,k=-3,a=5,b=3 and determine the equation.

\frac{(x-(-4))^2}{5^2}+\frac{(y-(-3))^2}{3^2}=1\\\\\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1

Therefore, the equation of the ellipse is:

\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1

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The sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age, how old is Mel?
olga55 [171]

Answer:

Age of Mel is 25 years.

Step-by-step explanation:

It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.

Let 'x' be the Ali's age  and 'y' be the Mel's age

<u>To find the value of x and y</u>

sum of Ali and Mel's age is 39

⇒ x + y = 39    ------(1)

  Mel is 3 years younger than twice Ali's age

⇒ y = 2x - 3   -------(2)

⇒  2x - y = 3  -----(3)

(1) + (3) ⇒  

 x + y = 39

2x - y = 3

----------------

3x   = 42

x = 42/3 = 14

y = 2x - 3 = 14*2 - 3  = 25

Therefore the age of Ali = 14

Age of Mel = 25

4 0
3 years ago
- 7 - w &lt;10 what is the answer
sesenic [268]
-7-w<10
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Hope this helps :)
3 0
3 years ago
HELP!!!!
egoroff_w [7]

Answer:

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Step-by-step explanation:

5 0
2 years ago
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Which inequality represents the values of that ensure triangle exists? a triangle with these side lengths: AC = 18 units, BC = 6
erastovalidia [21]

AC = 18

BC = 6x

AB = 2x + 4


Write and solve:

18 + 6x + 2x + 4

18 + 8x + 4 = 180


You can solve further:

18 + 8x = 176

8x = 158

x = 19 & 3/4


Not 100% sure what the question is asking, but hopefully this helps.

5 0
3 years ago
Quadrilateral ABCD is the result of a translation of
skad [1K]

Answer:

The corresponding segments AB and DC in the image are parallel.

Step-by-step:

It already tells us that segment QR is parallel to segment TS. So now the only segments left are segments AB and DC. Now look at segments AB and DC, do they look parallel? Yes, they do.

And that's how I got my answer. Even further, I took the test and got it right.

Your welcome. ;)                                                    

6 0
3 years ago
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