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Shkiper50 [21]
2 years ago
11

Write the equation of each ellipse in standard form with the given characteristics.

Mathematics
1 answer:
Eddi Din [679]2 years ago
6 0

Answer:

Step-by-step explanation:

The foci are horizontally aligned.

horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

center (h,k)

vertices (h±a,k)

length of minor axis = 2b

foci (h±c,k), c² = a²-b²

Apply your data and solve for h, k, a, and b.

foci (±3√19, 6)

h = 0

k = 6

Length of minor axis = 2b = 10

b = 5

foci (h±3√19, 6)

c = 3√19

c³ = a² - b²

171 = a² - 25

a²  = 196

x²/196 + (y-6)²/25 = 1

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Jenna grabs a sample of trail mix from a bag. The mix contains peanuts, almonds, raisins, cashews, and chocolate chips. She want
Olegator [25]

Answer:

10 5 40

Step-by-step explanation:

if it is a sample and there are 5 diffrant things that is supposed to be in there,  the 5 would be just rediculus, if it is 10, that would make more sense. 40, that would be more like the regular versian of it

hope this helps!!!

6 0
2 years ago
Ajay has 170 red ball and 136 green ball.What is the ratio of the red and green balls. best answer will get brainliest mark​
Tatiana [17]

I I found the answer, answer is 359 stop answer dear

5 0
3 years ago
5(3a+b)−2(3a+b) in simplest form<br> I NEED HELP!
nordsb [41]

Answer:

9a + 3b

Is the answer

Step-by-step explanation:

5(3a + b) - 2(3a + b) \\  = 15a + 5b - 6a - 2b \\  = 9a + 3b

( - ) \times ( + ) = ( - ) \\

That is why

( - 2) \times b =  - 2

And

( - 2) \times 3a = ( - 6)

7 0
2 years ago
3 4/7 minus 2 1/5 by rounding to the nearest half
mylen [45]

Answer:

1 \frac{13}{35}

Step-by-step explanation:

3 \frac{4}{7} -  2 \frac{1}{5}

you can solve for the fractions first, but you have to give them a common denominator

\frac{20}{35}- \frac{7}{35}

= \frac{13}{35} which is in simplest form

then solve for the whole numbers

3-2=1

therefore, the answer is 1 \frac{13}{35}

6 0
3 years ago
A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
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