Simplify this expression leaving your answer in index form
1 answer:
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Answer:
C= 25n+100
Step-by-step explanation:
Let's see what's in the graph :
- the image of 4 is 200 C(4)=200
- C(2)= 150
let m be the slope of this function :
- m=
=25
The first value in the graph is 100 wich is c(0)=100
- so the equation is : c=25n+100
<h3>Answer: 10*sqrt(30)</h3>
That is the same as writing
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Explanation:
The diagram shows that
- AC = 60
- AD = 50
That must mean DC = AC-AD = 60-50 = 10
We'll use this to help find BD as shown below
AD/BD = BD/DC
AD*DC = BD*BD .... cross multiply
(BD)^2 = AD*DC
BD = sqrt(AD*DC) ..... geometric mean formula
BD = sqrt(50*10)
BD = sqrt(500)
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Now apply the pythagorean theorem to find AB. Focus on triangle ABD.
(AD)^2 + (BD)^2 = (AB)^2
(AB)^2 = (AD)^2 + (BD)^2
(AB)^2 = (50)^2 + (sqrt(500))^2
(AB)^2 = 2500 + 500
(AB)^2 = 3000
AB = sqrt(3000)
AB = sqrt(100*30)
AB = sqrt(100)*sqrt(30)
AB = 10*sqrt(30)