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bonufazy [111]
3 years ago
7

G = {(5, 3), (2, 3), (6, 4)} Is G-1 a function and why?

Mathematics
1 answer:
galben [10]3 years ago
4 0
To get G^-1 all we need to do is flip the points around Example for (5,3) make it (3,5)
Here are the points in inverse (3,5); (3,2); (4,6)
To tell if a group of point can be a function we need to 1st look at the x values.  If all the x values are different, then it is a function (the x's are not all different)
If there are x values that are the same, they MUST have the same y value.
look at the points (3,5) and (3,2) those have the same x but they go to different y values so it is not a function.

You can think about it like this.  Can you go to more than 1 place at the EXACT same time?  Obvious answer is no. Can you have multiple people go to the same room?  Sure that is possible.  Same with functions.  An x value can ONLY go to 1 y value, and many different x values can go to the same y value.
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Alexxx [7]
The answer is 109.44
6 0
3 years ago
Read 2 more answers
Can someone please help me
Evgesh-ka [11]

Answer:

UW ≈ 6.55 ≈ 7

Step-by-step explanation:

cos (35) = adjacent/hypotenuse

cos(35) = UW/VW

cos(35) = UW/8

8*cos(35) = UW

UW ≈ 6.55

Hope this helped! <3

7 0
3 years ago
John has to solve the equation 3x = 15. What should John do the the equation?
PSYCHO15rus [73]

Answer:

or,3x=15

or,x=15/3

the value of x is 5,,

6 0
3 years ago
If PQ=8 and Q lies at -13 where could P be located?
choli [55]

Answer:

In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).

Step-by-step explanation:

There is really no need to use any quadratics or roots.

( Consider the same problem on the plain number line first.  )

How do you find the number between 2 and 5 which is twice as far from 2 as from 5?

You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get

4=2+23(5−2)

It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then

R=P+23(Q−P)

so in your case we get

R=(0,−1)+23(3,3)=(2,1)

Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)

Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get

s=a+b=2b+b=3b

⇔b=13s⇒a=23s

7 0
3 years ago
Solve these algebraic fractions please with explanation would be great ​
Pavlova-9 [17]

Answer:

look above

Step-by-step explanation:

hope it helps

4 0
2 years ago
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