Answer:
The question is incomplete/not fully in the question becuase there is only data given no question.
Step-by-step explanation:
the value of b is = 10.
The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
<h3>What is hyperbola?</h3>
The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.
<h3>What is the general formula for hyperbola?</h3>
The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1
<h3>According to the given information:</h3>
x²/24 - y²/(b)² = 1
(x - 0)²/24 - (y -0)²/(b)² = 1
a=24,h=0 and k=0
Now equation of the directrix
x=a²/c...(1)
and we know x=576/26...(2)
Therefore from 1 and 2 we get
24²/c=576/26.
isolate the c so we get,
C=26
C= center of focii
c = √(a² + b³)
c² = a² + b²
b = c² - a²
b = 10
So we get the value of b is 10.
Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.
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Answer:
35 degrees.
Step-by-step explanation:
It's a reflective sideway triangle.
Answer: 93,220
Step-by-step explanation: Just add a zero to the end to get 93,220.
Answer:
Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)
Width of the new blueprint: 14.4 inches
Step-by-step explanation:
To solve this problem we can use rules of three to find each of the questions: blueprint's new scale and new width.
To find the new scale, we can find the real length of the patio first:
2 inches -> 3 feet
14 inches -> X feet
2/14 = 3/X
X = 21 feet
Now we can use this value to create the new scale:
16.8 inches -> 21 feet
2 inches -> X feet
16.8/2 = 21/X
X = 2*21/16.8 = 2.5 feet
So the new scale is 2 inches = 2.5 feet, or 4 inches = 5 feet
Now, to find the new width of the blueprint, we can do the following rule of three:
14 inches of length -> 16.8 inches of length
12 inches of width -> X inches of width
14/12 = 16.8/X
X = 12*16.8/14 = 14.4 inches
