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Lena [83]
3 years ago
15

If B is reflectedacross the y-axis, the coordinates will me what?​

Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

(x,y) across the y axis is (-x,y)

Step-by-step explanation:

When reflected across the y-axis, the x coordinate in the opposite.

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6. Pamel bought an electric drill at 85% of the regular price. She paid $276,25 for
Katen [24]

Answer:

£325

Step-by-step explanation:

She paid £276.25 which is 85%

Divide 276.25 by 85 which is 3.25

3.25 is 1%

Multiply 3.25 by 100 to get the full Price

3.25 x 100 = £325

3 0
3 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
Evaluate –10 • x • 5 when x = –1.<br><br><br> –50<br><br><br> –15<br><br><br> 6<br><br><br> 50
Rudiy27
The answer is 50 ! :-)
4 0
2 years ago
Find the approximate length of segment EF.
Debora [2.8K]

Answer:

The Answer is C.

Step-by-step explanation:

3 0
2 years ago
F(x)=√x-2 I need to find the domain and the range ​
garri49 [273]

Answer:

domain \: is \: x \geqslant 0 \\  \\ range \: is \: y \geqslant  - 2 \\  \\ for \: f(x) =  \sqrt{x}  -  \: 2

4 0
3 years ago
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