Suppose you have two different linear equations. How would you tell if the lines represented are parallel, perpendicular, or neither?

Answers

Answer 1

Answer: parallel never cross
perpendicular is a 90 degree angle
its neither if its not 90 degree or never crossing

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Which statement justifies that x2 + 3x − 1 multiplied by 2x2 − 2x + 1 obeys the closure property of multiplication?(A)The result 2x4 − 6x2 − 1 has a degree of 4. (B)The result 2x4 − 6x2 − 1 is a trinomial. (C) The result 2x4 + 4x3 − 7x2 + 5x − 1 has a degree of 4. (D)The result 2x4 + 4x3 − 7x2 + 5x − 1 is a polynomial.
Solving Trig. Equations:csc^2x-2cot^2x=0

Please help me, appreciated if you do :)

Answers

Answer:

6x-8=2x+4

6x-2x=8+4

4x=12

x=3

Someone you know is planning a wedding. They have still have decide on the place of the reception, the DJ, and the caterer. They have narrowed it down to 2 reception halls, 3 DJs, and 2 catering companies. How many arrangements are possible for this wedding?

Answers

So essentially, we have a choice of :

2 reception halls
3 DJs
2 catering companies.

In order to find the number of arrangements, you need to multiply those : 2*3*2=12- So they have 12 arrangements.

why?

Imagine those 3 Djs- they are three arrangements.
Now, they can play in one or the other hall -so in total it's 3 Djs in one hall and 3 in the other -that's 6.

And all of those 6 possibilities can be catered by one or the other company- making the possibilities twice as many, so it's 12 in total!

What is the antiderivate to 1/x?

Answers

That's the natural log of 'x'.

I'm pretty sure 1/x = f(x). Could be wrong though, I'm talking about graphs here, so yeah :/

How many 3/4 are in 1

Answers

1 and 1/3 of them are.

well 1 ÷ 3/4 = 0.08 so only 1 and 1/3 because if there is 2 you would have 6/4 which equals 1 1/2 which isn't one

Which of the following occurs during the ecological succession of an ecosystem?A. An ecosystem reaches a final, unchanging stage.

B. Animals move out of the ecosystem until succession is complete.

C. Living organisms modify their environment a little at a time.

D. Parts of communities split off to form new communities.

Answers

The answer is c. Living organisms modify their environment a little at a time.

The purpose of succession is for an ecosystem to reach balance state right after it is formed or after it is disturbed by man or some disasters. It will increase biodiversity and help to prevent the desertification. Living organisms modify environment a little at a time. By modifying it, they make the environment more suitable for the new species to enter the community.

I think the correct answer from the choices listed above is option C. During an ecological succession of an ecosystem, what happens is that living organisms modify their environment a little at a time in order for them to survive. Hope this answers the question.

What is the range of each function given below?
a. Let f(x) = 9x − 1.