Answer: 3.75 calories
Step-by-step explanation: hope this helps <3
Answer:
(x,y)→(x,−y)
Step-by-step explanation:
I did it before
Answer:
Step-by-step explanation:
Let amount of apples be x and oranges be y
<u>Then we have:</u>
<u>Subtract triple of the first equation from the second one:</u>
- 3x + 4y - 3(x + y) = 100 - 3*30
- 3x - 3x + 4y - 3y - 10
- y = 10
<u>Then finding x</u>
So apples = 20, Oranges = 10
The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is
<h3>How to determine the equation of the hyperbola?</h3>
The given parameters are:
- Directrices at x = ±2
- Foci at (5, 0) and (−5, 0)
The foci of a hyperbola are represented as:
Foci = (k ± c, h)
The center is:
Center = (h,k)
And the directrix is:
Directrix, x = h ± a²/c
By comparison, we have:
k ± c = ±5
h = 0
h ± a²/c = ±2
Substitute h = 0 in h ± a²/c = ±2
0 ± a²/c = ±2
This gives
a²/c = 2
Multiply both sides by c
a² = 2c
k ± c = ±5 means that:
k ± c = 0 ± 5
By comparison, we have:
k = 0 and c = 5
Substitute c = 5 in a² = 2c
a² = 2 * 5
a² = 10
Next, we calculate b using:
b² = c² - a²
This gives
b² = 5² - 10
Evaluate
b² = 15
The hyperbola is represented as:
So, we have:
Evaluate
Hence, the equation of the hyperbola is
Read more about hyperbola at:
brainly.com/question/3405939
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