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ki77a [65]
2 years ago
8

write the equation of the ellipse using the given information: the ellipse has foci (0,3) and (0,-3) and major vertices (0,5) an

d (0,-5).
Mathematics
1 answer:
svetlana [45]2 years ago
5 0

Answer: (x^2)/16 + (y^2)/25 = 1

Step-by-step explanation:

According to the problem we can figure out that the center of the ellipse is (0,0).

Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.

If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2

We get b^2 is 16

Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.

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In triangle ABC, what is the length of side bif B = 48°, C= 81°, and c= 25?
Mashcka [7]

Answer: The correct option is D: Is alloyed with carbon and chromium to make stainless steel.

Explanation:  Because of its physical characteristics, iron is a material that tends to oxidize easily. With the chromium alloy stainless steel is created, which for its quality can be used in the manufacture of structural steels.

7 0
3 years ago
Baldwin is a salesperson. He sold an oil painting for $386 and earned 18% commission. How much commission did Baldwin earn?
scZoUnD [109]
He earned 69.48$ commission
386 x 0.18= 69.48$.
6 0
2 years ago
Read 2 more answers
F(x) = 3x + 9, g(x) = 5x2 Find (f + g)(x).
Karo-lina-s [1.5K]
F(x) = 3x + 9
g(x) = 5x²

(f + g)(x) = (3x + 9) + 5x²
(f + g)(x) = 3x + 9 + 5x²
(f + g)(x) = 5x² + 3x + 9
4 0
3 years ago
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The cost price of a car is $60 000. If the marked price is set so as to make a profit of 15%, find the
blsea [12.9K]

Answer:

marked price = $69,000

Step-by-step explanation:

cost price = $60,000

profit

= 15%

= 15% × cost price

= 15/100 × $60,000

= $9000

marked price

= cost price + profit

= $60,000 + $9000

= $69,000

3 0
2 years ago
Evaluate the function at the indicated values if possible. If an indicated value is not in the​ domain, say so.
goldfiish [28.3K]

Answer:

f(-7)=0.

f(2)=-9/5.

f(3) doesn't exist because 3 isn't in the domain of the function.

Step-by-step explanation:

f(x)=\frac{x+7}{x^2-9} is the given function.

We are asked to find:

f(-7)

f(2)

f(3).

f(-7) means to replace x in the expression called f with -7:

Evaluate \frac{x+7}{x^2-9} at x=-7

\frac{(-7)+7}{(-7)^2-9}

\frac{0}{49-9}

\frac{0}{40}

0

So f(-7)=0.

f(2) means to replace x in the expression called f with 2:

Evaluate \frac{x+7}{x^2-9} at x=2

\frac{2+7}{2^2-9}

\frac{9}{4-9}

\frac{9}{-5}

\frac{-9}{5}

So f(2)=-9/5

f(3) means to replace x in the expression called f with 3:

Evaluate \frac{x+7}{x^2-9} at x=3

\frac{3+7}{3^2-9}

\frac{10}{9-9}

\frac{10}{0}

Division by 0 is not allowed so 3 is not in the domain of our function.

5 0
3 years ago
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