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Komok [63]
3 years ago
9

Pls helppppppppppppp

Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation of the graph of f(x)

• If c > 0 then vertical shift up of c units

• If c < 0 then vertical shift down of c units

7

f(x) + 3 → vertical shift up of 3 units

Thus the point (- 3, 0 ) → (- 3, 0 + 3 ) → (- 3, 3)

8

f(x) - 5 → vertical shift down of 5 units

Thus point (4, - 2 ) → (4, - 2 - 5 ) → (4, - 7 )

-------------------------------------------------------------------------------

Given f(x) then f(x + a) represents a horizontal translation of the graph of f(x)

• If a > 0 then horizontal shift to the left of a units

• If a < 0 then a horizontal shift to the right of a units

9

f(x - 10) → horizontal shift to the right of 10 units

Thus point (3, 3 ) → (3 + 10, 3 ) → (13, 3 )

10

f(x + 4) + 5 → shift to the left of 4 units and shift up of 5 units

Thus point (6, 1 ) → (6 - 4, 1 + 5 ) → (2, 6 )

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Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'





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3 years ago
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In how much time will ₹1200 amount to ₹1680 at 16% per annum simple interest.​
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4 years ago
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