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3 years ago

In Exercise sketch the graph of the function. f(x) = ex + 2

Mathematics

1 answer:

earnstyle [38]3 years ago

6 0

Answer:

slop of e

y - intercept 2

x- intercept -0.735

Step-by-step explanation:

The value of e is 2.72 and this is the slope of the graph with a y intercept of:

$y=0+2$

$y=2$

and an x intercept of:

$0=ex+2$

$x=-2/e=-0.735$

The graph is attached with the x and y intercepts

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Solve -6x+3-12x-8=31

Gwar [14]

X = -2

Combine terms to get:

-18x - 5 = 31

Add 5 to both sides

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3 years ago

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

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;

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

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$x = \frac{50}{0.1227845609}$

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AB = x = 407.217321 foot

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3 years ago

If a number is divisible by 2,5,9 what is one digit of the number

Fudgin [204]

Answer:

the lcm of the three factors will be one digit of the number

Step-by-step explanation:

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aliya0001 [1]

Answer:

V=144

Step-by-step explanation:

To find the volume of a pyramid, use the formula V=B•h, B being the base and h the height. So 12•12=144.

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