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qwelly [4]
2 years ago
14

Simplify the expression 6C5. a.6. b. 24 C. 30 d. 720

Mathematics
1 answer:
Lana71 [14]2 years ago
8 0
<h3>Answer:  A) 6</h3>

=====================================================

Explanation:

Plug n = 6 and r = 5 into the nCr combination formula

_n C _r = \frac{n!}{r!*(n-r)!}\\\\_6 C _5 = \frac{6!}{5!*(6-5)!}\\\\_6 C _5 = \frac{6!}{5!*1!}\\\\_6 C _5 = \frac{6*5*4*3*2*1}{5*4*3*2*1*1}\\\\_6 C _5 = \frac{720}{120}\\\\_6 C _5 = 6\\\\

Or you could use the shortcut

_n C _{n-1} = n\\\\

Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.

A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.

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Step-by-step explanation:

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3 years ago
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9514 1404 393

Answer:

  x^2 -5x +14 = 10^(2x +4)

Step-by-step explanation:

The relationship is ...

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__

Using this with a=x^2-5x+14 and b=2x+4, we have ...

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<em>Additional comments</em>

In plain text, the exponent needs parentheses, because superscript formatting is not available to tell what is and isn't part of the exponent.

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8 0
3 years ago
Can 12m, 35m and 37m make a right triangle
antoniya [11.8K]

Answer:

YES

Step-by-step explanation:

Explanation:

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.

The Pythagoras Theorem is  

a

2

+

b

2

=

c

2

Substituting we get:

12

2

+

35

2

=

37

2

12

⋅

12

+

35

⋅

35

=

37

⋅

37

144

+

1225

=

1369

1369

=

1369

Because these are equal this is a right triangle.

3 0
3 years ago
Read 2 more answers
What are the slope and the y-intercept of the linear function that is represented by the equation y - 9x-27?
kakasveta [241]

Answer:

the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 27? The slope is –2, and the y-intercept is 9.

Step-by-step explanation:

hope this helps

6 0
3 years ago
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