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Gekata [30.6K]
3 years ago
5

There are 9 players on a baseball team. In how many different ways can the coach choose players for first base, second base, thi

rd base, and shortstop?​
Mathematics
1 answer:
butalik [34]3 years ago
7 0

1 player can play 4 different positions...

answer:36 different ways

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Step-by-step explanation:

Hope it helps you in your learning process.

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Solve the equation on the interval [0,2pi) 7sec x-7=0
never [62]

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2π or 0π are the only points that satisfy the expression, but since the restriction is 0 <= x < 2π

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What angle do the minute and hour hands make at 4:30??
seraphim [82]

Answer:

45°

Step-by-step explanation:

The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...

... (4.5/12)·360° = 135°

clockwise from straight up.

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A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15
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Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

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

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

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3 years ago
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