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2 years ago

What is the length of the line?

Mathematics

1 answer:

mamaluj [8]2 years ago

8 0

Hi there!

$\large\boxed{\text{ D. } \sqrt{136}}$

Use the Pythagorean theorem to find the length of the line.

If we draw an imaginary right triangle using the given line as the hypotenuse, we can derive a height of 6 units and a length of 10 units.

Use the Pythagorean theorem equation:

c² = a² + b²

Plug in the height and length:

c² = 6² + 10²

Simplify:

c² = 36 + 100

c² = 136

Take the square root of both sides:

c = √136. The correct answer is D.

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ruslelena [56]

Answer:

4n^3-n^2-5n

Step-by-step explanation:

n(2n+4n2−5−3n)

=(n)(2n+4n2+−5+−3n)

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2 years ago

The lines below are parallel. If the slope of the green line is -2, what is the slope of the red line?

IgorLugansk [536]

Parallel lines have equal slopes, so if green line has slope = -2 then, red line's slope would be equal to -2

In short, Your Answer would be Option A

Hope this helps!

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Answer:

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2 years ago

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Consider the function attached below

Masja [62]

Answer:

Step-by-step explanation:

Hello,

$x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{2f^{-1}(x)}+5\\\sqrt{2f^{-1}(x)} =x-5\\2f^{-1}(x)=(x-5)^2\\f^{-1}(x)=\dfrac{(x-5)^2}{2}$

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$f^{-1}(7)=\dfrac{(7-5)^2}{2}=\dfrac{2^2}{2}=2$

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4 0

3 years ago

Need help finding the domain and range

pogonyaev

Here are a few things you'll need to know for this question:

Domain: The list of x-values that are possible on a line.
Range: The list of y-values that are possible on a line.
Interval Notation: Shows the domain/range using the endpoints. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
Closed Circles: The endpoint is included.
Open Circles: The endpoint is excluded.

So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, the interval notation of the domain is [-2,5).

Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, the interval notation of the range is [-5,2).

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2 years ago