A bag contains 5 red marbles, 5 blue marbles, 6 green marbles, 8 purple marbles and 1 white marble. One is selected at random. F
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Answer:
The rational form of the given number 0.1777 =
Step-by-step explanation:
The rational number is expressed as a number on the form of
Now,here the given number in decimal form = 0.1777
To remove the decimal, firstly count the number of digits AFTER DECIMAL.
Here, number of digits after decimal = 4
SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.
Hence, the rational form of the given number 0.1777 =
First, write the equation of the line containing the points <span>(2,-5) and (-3,2).
We can use 2 point form, or point-slope form.
Let's use </span>point-slope form.
the slope m is
, then use any of the points to write the equation. (ex, pick (2, -5))
y-(-5)=(-7/5)(x-2)
y+5=(-7/5)x+14/5
y= (-7/5)x+14/5 - 5 =(-7/5)x+14/5 - 25/5 =(-7/5)x-11/5
Thus, the lines are
i) y=-ax+4 and ii) y=(-7/5)x-11/5
the slopes are the coefficients of x: -a and (-7/5),
the product of the slopes of 2 perpendicular lines is -1,
so
(-a)(-7/5)=-1
7/5a=-1
a=-1/(7/5)=-5/7
Answer: -5/7
We can use 2 point form, or point-slope form.
Let's use </span>point-slope form.
the slope m is
y-(-5)=(-7/5)(x-2)
y+5=(-7/5)x+14/5
y= (-7/5)x+14/5 - 5 =(-7/5)x+14/5 - 25/5 =(-7/5)x-11/5
Thus, the lines are
i) y=-ax+4 and ii) y=(-7/5)x-11/5
the slopes are the coefficients of x: -a and (-7/5),
the product of the slopes of 2 perpendicular lines is -1,
so
(-a)(-7/5)=-1
7/5a=-1
a=-1/(7/5)=-5/7
Answer: -5/7