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Gennadij [26K]
2 years ago
14

Please Evaluate C(6,3)

Mathematics
1 answer:
patriot [66]2 years ago
5 0

The value of the expression C(6,3) is 20

<h3>How to evaluate the expression?</h3>

The expression is given as:

C(6, 3)

This means 6 combination 3.

And it can be written as:

^6C_3

Apply the combination formula

^6C_3 = \frac{6!}{3!3!}

Evaluate the expression

^6C_3 = 20

Hence, the value of the expression C(6,3) is 20

Read more about combination at:

brainly.com/question/11732255

#SPJ1

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Step-by-step explanation:

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3 years ago
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
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Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

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I think it's the Multiplication Property of Equality.

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