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Naily [24]
1 year ago
7

Twenty-five students are competing in a Science Fair. In how many ways can 3 students win first, second, and third place?

Mathematics
1 answer:
Irina18 [472]1 year ago
3 0

Answer:

C

Step-by-step explanation:

\frac{25!}{(25-3)!} =13800

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The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

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3 years ago
Use 4 terms of the series to approximate :
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from \: trapezium \: rule \\ n = 4 \\ h =  \frac{(1 - ( - 5))}{4}  =  \frac{3}{2}  \\ from \: the \: pic \:  \\ approximate \: value \: is \: 5.409

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1)  (-1 1/2)(y)-8 1/2
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300 30 3 0.3 follows what pattern
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Divide 10 each time.

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