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lesya [120]
3 years ago
15

If two lines intersect at a right angle, then they are perpendicular

Mathematics
1 answer:
kipiarov [429]3 years ago
4 0

This is TRUE!

The definition for perpendicular only applies when the lines are at a right angle which is 90°

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Please help! Will mark brainliest
Marina CMI [18]

Answer:

30 degrees but I have to write more stuff so brainly will let me submit my answer

8 0
3 years ago
Read 2 more answers
SEE ATTACHED
fenix001 [56]
To me personally, the first bit f(g(x)) is easy and the domain is tricky. Let's try explain this.

A function takes an input number and returns an output number depending on the function. Look at f(x) = x+3, if we let the input number be 2 then we say that f(2) = 5. We could do f(π) to give us π+3 or even f(x²) to give us x² +3. The trick is to substitute the input into the function equation.

You have been asked to find f(g(x)). You know f(x) = \frac{1+x}{1-x}. Putting numbers in at this point would be easy (try work out f(2), you'll do it really quick) but you have to put in g(x).

f(g(x)) = \frac{1+g(x)}{1-g(x)}
we also know that g(x) = \frac{x}{1-x} so we can say that
f(g(x)) = \frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} } and that is f(g(x)) but the question requires that we simplify it so
\frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} }  =  \frac{ \frac{1-x}{1-x} +  \frac{x}{1-x} }{ \frac{1-x}{1-x} - \frac{x}{1-x} } =  \frac{ \frac{1}{1-x} }{ \frac{1-2x}{1-x} } =  \frac{1}{1-2x}

f(g(x)) = \frac{1}{1-2x}

Now for the tricky bit (for me, at least). The domain is the full set of values that you can 'put in to' the function and still get a real value out. So how do we work out what numbers 'break' the function? I like to use the fact that DIVIDING BY ZERO IS IMPOSSIBLE. What value of x can we put into the function to make it so the function is being divided by 0? i.e. 1-2x = 0 solve that and you have a value of x that isn't part of the domain.

This means the domain is all real numbers EXCEPT the solution to that equation. (Because if we put that value into f(g(x)) it's impossible to get a value out.)

[I know this was a lot to read, if you have any questions or don't get anything feel free to message me or leave a comment.]

5 0
3 years ago
What is 4and2/14 as an improper fraction in lowest terms
julia-pushkina [17]

Answer: 58 14ths

Step-by-step explanation:

multiply 14 by 4 to get 56 14ths, then add the 2

6 0
2 years ago
Read 2 more answers
There are two sources that serve as the foundation for conducting research on learning. The first source addresses characteristi
Leviafan [203]

Answer:

There are two sources that serve as the foundation for conducting research on learning. The first source addresses characteristics of knowledge itself and the different ways in which we learn things. The second source focuses on what goes on in our minds and how that is theoretically represented.

Step-by-step explanation:

The investigations on the process of how we learn have led to two main sources:

- Acquisition of knowledge which involves assimilation or understanding, storage and retrieval

- The second source belongs to a modern learning cognitive psychology, neuroscience, and cognitive science theories on mental representation, which concerns about the build up of an internal symbol or cognitive representation to hypothetically figure out, external reality.

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3 years ago
How can you use a number line to order rational numbers? Give an example.
Margaret [11]

Yes use a number line cuz it'll help you

3 0
3 years ago
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