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nikitadnepr [17]
2 years ago
7

Line AB intersects line DF. Which statement shows that the two lines are perpendicular?

Mathematics
1 answer:
lesantik [10]2 years ago
6 0
C part explains this . :)
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Let f be a continuous function defined on the interval [0,1] such that f(0) = f(1). Show that there exists a number 0 <= a &l
Leni [432]

Explanation:

In order to prove that affirmation, we define the function g over the interval [0, 1/2] with the formula g(x) = f(x+1/2)-f(x) .

If we evaluate g at the  endpoints we have

g(0) = f(1/2)-f(0) = f(1/2) - f(1) (because f(0) = f(1))  

g(1/2) = f(1) - f(1/2) = -g(0)

Since g(1/2) = -g(0), we have one chance out of three

  • g(0) > 0 and g(1/2) < 0
  • g(0) < 0 and g(1/2) > 0
  • g(0) = g(1/2) = 0

We will prove that g has a zero on [0,1/2]. If g(0) = 0, then it is trivial. If g(0) ≠ 0, then we are in one of the first two cases, and therefore g(0) * g(1/2) < 0. Since f is continuous, so is g. Bolzano's Theorem assures that there exists c in (0,1/2) such that g(c) = 0.  This proves that g has at least one zero on [0,1/2].

Let c be a 0 of g, then we have

0 = g(c) = f(c+1/2)-f(c)

Hence, f(c+1/2) = f(c) as we wanted.

5 0
3 years ago
A man looking at a photograph says brothers and sisters I have none but that man’s father is my father son who is in the photogr
Ainat [17]
The father say to his son, that’s his father in the photograph.
6 0
3 years ago
5x+5=1/2x-4 , what is x
melomori [17]

The answer is x = -2. The steps are in the image below.

Hope this helps!!!!!!!!

Please give me brainliest!!!!!!!!!!!

8 0
2 years ago
Read 2 more answers
I need help pleaseee​
aev [14]
I can’t see the question
3 0
2 years ago
Read 2 more answers
Will give brainiest! Please help!
IrinaK [193]

Answer:

The ratio of salmon to total fish caught is 9 over 25.

Step-by-step explanation:

Start with what we know. We have 200 total fish caught and 36% are salmon. The rest is just mumble jumble so don't pay attention to that.

All we have to do is find 36% of 200, and the easiest way to do that is by first knowing that 36% of 100 is 36 so if we double that it will give us 36% of 200.

36 x 2 = 72

So, the ratio of salmon to total fish caught is 72 over 200. But, in simplest form is 9 over 25 because 72/200 divided by 4/4 = 9/25.

Hope this helps! If you have any additional questions please don't hesitate tp ask me or your teacher to be sure you really master this subject. Stay safe and please mark brainliest!

8 0
2 years ago
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