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bija089 [108]
3 years ago
9

Consider the graphs of f(x) and g(x). If g(x) = f(x) +k, find the value of k.

Mathematics
1 answer:
Tanya [424]3 years ago
8 0
K = -7 because the graph of g(x) is the graph of f(x) shifted down 7 units so you would subtract 7 from the graph of f(x) to get g(x)
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Answer:

2

Step-by-step explanation:

negative numbers dividing with negative have positive quotients

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2 years ago
While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
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OLEGan [10]
-9T means -9 x T
So if T is equivalent to 4,
you should do:
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J= -36
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Y_Kistochka [10]
Those number are all powers of 10
10= 10^1
100= 10^2
1000= 10^3
and so on...
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3 years ago
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