Answer:
y² / 81 - x² / 19 = 1
Step-by-step explanation: See Annex ( vertices and foci in coordinates axis)
The equation in standard form for the hyperbola is:
x² / a² - y²/b² = 1 or y²/a² - x² / b² = 1
In cases of transverse axis parallel to x axis or y axis respectively.
As per given information in this case hyperbola has a transverse axis parallel to y axis the equation is
y²/a² - x² / b² = 1
a is a distance between center and vertex therefore a = 9
c is a distance between center and a focus c = 10
and b will be:
c² = a² + b² ⇒ b² = c² - a² ⇒ b² = (10)² - (9)² ⇒ b² = 100 - 81
b = √19
And the equation in standard form is:
y² / a² - x² / b² = 1
y² / ( 9 )² - x² / √(19)² ⇒ y² / 81 - x² / 19 = 1
Answer:
Step-by-step explanation:
The modified recipe will make 14 servings.
Step-by-step explanation:
Given,
Eggs used = 3
Servings made = 6
Ratio of eggs to servings = 3:6
Eggs used in modified recipes = 7
Let,
x be the number of servings = x
Ratio of eggs to servings = 7:x
Using proportion;
Eggs to servings :: Eggs to servings
3:6::7:x
Product of mean = Product of extreme
Dividing both sides by 3
The modified recipe will make 14 servings.
Keywords: ratio, proportion
Learn more about proportion at:
#LearnwithBrainly
17.5 or 17 1/2 quarts because there are two pints in a quart.
The amount one person will pay for a day is $4
The amount two people will pay for a day is $8
The amount Beth paid for 3 days is 4*3=12
The amount Maria paid for 3days is also 4*3=12
So to find the amount they will pay for 3days, add 12 and 12 to get 24.
The girls will pay $24 for the 3days.
Hope it helps
