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Brums [2.3K]
3 years ago
6

The dashed curve on the graph shows the initial function . What is the equation of the solid curve?

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

f(x) = sqrt(x + 6)

y = sqrt(x + 6)

x = sqrt(y + 6)


Stx^2 = y + 6

x^2 - 6 = y

red line: f(x) = sqrt(x + 6)

green line: f^-1(x) = x^2 - 6


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A kite is stuck in a 36-ft tree. If the angle of elevation from the kite and the ground is 12, find the length of the kite.
yanalaym [24]

Answer:

173.15 ft.  

Step-by-step explanation:

Please find the attachment.

Let L be the length of kite.  

We have been given that a kite is stuck in  36-ft tree. The angle of elevation from the kite and the ground is 12.

We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.

sin(12)=\frac{36}{L}    

L=\frac{36}{sin(12)}

L=\frac{36}{0.207911690818}  

L=173.1504364105882792\approx 173.15

Therefore, the length of kite is 173.15 ft.

4 0
3 years ago
What is the missing length?
Kipish [7]

Answer:

80

Step-by-step explanation:

89^2-39^2=6400, 6400=80^2

4 0
3 years ago
64 POINTS
Mekhanik [1.2K]
L(t)=9-0.5t   
t=time in hours,
L(t)=length of candle at time t

(A) substitute t=1,2,3,4,5,6 respectively to get
(1,8.5)
(2,8)
(3,7.5)
(4,7)
(5,6.5)
(6,6)

(B) it is a function because none of the x-values duplicate, (nor the y-values).

(C) If the rate changes to 0.45 "/hr, the relation is still linear.
All linear function with finite slope are functions.

7 0
3 years ago
Read 2 more answers
A baker has 6 small bags of flour. Each bag weighs 1 pound. She divides each bag into thirds. How many 1/3 - pound bags of flour
lana [24]

Answer:

18 smaller bags

Step-by-step explanation:

Each one pound bag becomes 3 one-third pound bags.

So 6 one pound bags will become 6×3=18 one-third pound bags.

5 0
3 years ago
Mrs Vargas is 4 years less than 4times her daughter anas age. Mrs Vargas son Leo is 3years more than two times Ana's age.If Ana
shusha [124]

Answer: 2a - 7

<u>Step-by-step explanation:</u>

Ana: a

Mrs Vargas: 4a - 4

Leo: 2a + 3


 Mrs Vargas  -   Leo

=   (4a - 4)      -  (2a + 3)

=    4a - 4       -2a - 3

=    2a - 7


5 0
3 years ago
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