Answer:
Step-by-step explanation:
The sum of the angles of a triangle is always 180°.
(2x+4) + (2x-2) + (x-2) = 180
5x = 180
x = 36°
The equation you wrote has no solutions since the left hand side is equal to 6x-10 and the right hand side is equal to 6x+8. Setting them equal we get -10=8 which is obviously wrong.
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.
To know more about Hyperbola visit:
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Answer:
3
Step-by-step explanation:
Answer:
Part A: x= number of shifts he works at the theater y= number of dog-walking jobs.
Part B: The only terms are 85x and 15y.
Part C: 15y
Step-by-step explanation:
Part A: The variables are the xy reasoning to this is due to them being the replacements of the numbers which aren't known.
Part B: The terms are pieces of the expression which are together.
Part C: It is the one used above for the dogs " $15 for every dog-walking job."
