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3 years ago

Which is the right answer?

Mathematics

1 answer:

Amanda [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Since the triangle is right use the sine trig ratio to solve for x

noting that sin45° = $\frac{1}{\sqrt{2} }$ ← exact value

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{8}{x}$

Multiply both sides by x

x × sin45° = 8 ( divide both sides by sin45° )

x = $\frac{8}{sin45}$ = $\frac{8}{\frac{1}{\sqrt{2} } }$ = 8 $\sqrt{2}$

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Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at ne

quester [9]

Answer:

$y =log_e(x+3)$

Step-by-step explanation:

It is given that the graph corresponds to a natural logarithmic function.

That means, the function $y$ has a natural log (Log with base $e$ ) of some terms of x.

It is given that asymptote of given curve is at $x= -3$ . i.e. when we put value

$x= -3$ , the function will have a value $y \rightarrow \infty$ .

We know that natural log of 0 is not defined.

So, we can say the following:

$log_e(x+a)$ is not defined at $x= -3$

$\Rightarrow x+a =0\\\Rightarrow x = -a$

i.e. $x =-a$ is the point where $y \rightarrow \infty$

a = 3

Hence, the function becomes:

$y =log_e(x+3)$

Also, given that the graph crosses x axis at x = -2

When we put x = -2 in the function:

$y =log_e(-2+3) = log_e(1) = 0$

And y axis at 1.

Put x = 0, we should get y = 1

$y =log_e(0+3) = log_e(3) \approx 1$

So, the function is: $y =log_e(x+3)$

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faust18 [17]

Well. No. Because it’s supposed to be 0.122222222...

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9.<br> Square Root Functions

topjm [15]

Answer:

y = √(x - 3)

Step-by-step explanation:

The graph shown has exactly the same shape as does the graph of y = √x, EXCEPT that the entire graph of y = √x has been translated 3 units to the right. Thus, the function describing this graph is y = √(x - 3).

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Answer:

Step-by-step explanation:

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Fantom [35]

See picture for solution steps and answer.

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