Complete the standard form of the equation of a hyperbola that has vertices at (-10, -15) and (70, -15) and one of its foci at (-11, -15).

Answers

Answer 1
Answer:

Answer:

((x-30)^(2))/(40^(2)) - ((y+15)^(2))/(3^(2)) = 1

Step-by-step explanation:

The equation of the horizontal hyperbola in standard form is:

((x-k)^(2))/(a^(2)) - ((y-k)^(2))/(b^(2)) = 1

The position of its center is:

C(x,y) = \left((-10 + 70)/(2), -15 \right)

C(x, y) = (30,-15)

The values for c and a are respectively:

a = 70 - 30

a = 40

c = 30 - (-11)

c = 41

The remaining variable is computed from the following Pythagorean identity:

c ^(2) = a^(2) + b^(2)

b = \sqrt{c^(2)-a^(2)}

b = \sqrt{41^(2)-40^(2)}

b = 3

Now, the equation of the hyperbola is:

((x-30)^(2))/(40^(2)) - ((y+15)^(2))/(3^(2)) = 1

Answer 2
Answer:

Answer:

The above answer is correct but the 3 should be a 9

Step-by-step explanation:

Plato


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Divide 44 in the ratio 2:8:6

Answers

Answer:

0.15384615384

Step-by-step explanation:

Someone help me please

Answers

Answer:

A) The vertex of CDH would be point D.

B) The sides of CDH would be CD & HD.

C) Classify CDH as an acute angle.

Step-by-step explanation:

A) Those are just where they meet in the middle, and D is the middle point of CDH.

B) Those are literally just the sides.

C) There's acute, obtuse, right etc. angles. Acute angles are less than 90 degrees. And your angle is definitely less than 90.

Use the order of operations to simplify: 9 ÷ 3 + 4 × 6

Answers

Answer:

27

Step-by-step explanation:

First is 9 / 3 which is 3 and then 4 x 6 which is 24 then 24 + 3  = 27

Answer:

PEMDAS

4 × 6 is 24

9 ÷ 3 is 3

24  + 3 = 27

Step-by-step explanation:

Which statement describes how El Niño contributes to climate trends on Earth? A.
A shift in trade winds in the Pacific causes a large mass of cold water to replace warm water, bringing in a cold air mass and cold weather.

B.
A shift in trade winds in the Pacific causes a large mass of warm water to replace cold water, bringing in a warm air mass and warm weather.

C.
Water moves from the equator toward Great Britain and Europe, causing warmer temperatures.

D.
The moon and Earth line up at a 90° angle, causing large tides and warmer weather.

this is science not mathematics

Answers

D.
The moon and Earth line up at a 90° angle, causing large tides and warmer weather.

and bruh

this is science not mathematicsso put it in science

i think it is C but im not real sure

Kjsdfjyrbasdhviurhasiudhvr = ?

Answers

Answer: option A/ eibfjed

Write true or false.​

Answers

Answer:

1. False

2. True

3. False

4. True

5. True

6. False

7. True

8. False

9. True

10. False

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

#SahreYourKnowledge!

✅ = True.

❌ = False.