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PtichkaEL [24]
4 years ago
7

Which graph represents y=3 sqrt x+2

Mathematics
1 answer:
ziro4ka [17]4 years ago
7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=3\sqrt{x+2}

Remember that the radicand must be greater than or equal to zero

so

x+2\geq 0

solve for x

subtract 2 both sides

x\geq -2

The domain is the interval [-2,∞)

All real number greater than or equal to -2

For x=-2

y=3\sqrt{-2+2}=0

so

The range is the interval [0,∞)

All real number greater than or equal to 0

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

For x=0

y=3\sqrt{0+2}

y=3\sqrt{2}

y=4.243

The y-intercept is the point (0,4.243)

therefore

The graph in the attached figure

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Solve 3 ^ x + 6 = 3 ^ 4
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Answer:

3.93 (approx.)

Step-by-step explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x  = 3 ^ 4  -   6, or

3^x = 81 - 6  =  75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:  

x = (ln 75) / (ln 3) = 3.93 (approx.)

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A right triangle has side lengths AC = 7 inches, BC = 24
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Therefore, the measures of the angles in triangle ABC is as follows:

  • m∠A 73.7°, m∠B = 16.3°, m∠C = 90°

<h3>How to find angles of right triangle?</h3>

The measure of the angles in the right triangle can be found as follows:

Using trigonometric ratios,

sin ∅ = opposite / hypotenuse

sin ∅ = 7 / 25

∅ = sin ⁻¹ 0.28

∅ = 16.2602047083

∅ = 16.3°

Hence,

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Solve 5x_c=k for x.​
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Step-by-step explanation:

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3 years ago
HELP !!! | 20 Points.
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Answer:

No. The ladder is too steep.

Step-by-step explanation:

Length of ladder = 17 feet.  This is the hypotenuse.

Side a of a right triangle = 16.6

To answer this, you need one of the trigonometric functions.  

Opposite = 16.5

hypotenuse = 17

The function you need is the sine function.

Sin(theta) = opposite / hypotenuse

sin(theta) = 16.5 / 17

Sin(theta) = 0.97059

theta = sin-1(0.07059)

theta = 76.07

No the ladder is too steep.

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3 years ago
Read 2 more answers
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