Answer
The expression is equivalent to sin^{2}x
The first step is to multiply the two expressions between parentheses :
(II)
There is a trigonometric identity that states :
Working with this expression :
⇒
(I)
Using the equation (I) in (II) :
⇒
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Answer:
0.0011904
Step-by-step explanation:
Given that:
Number of slips = 7
Sample space = (1, 2, 3, 3, 5, 6, 7)
Numbwe of slips drawn = 4
Probability = required outcome / Total possible outcomes
Note ; selection is without replacement ;
P(drawing 1) = 1 /7
P(drawing 2) = 1 /6
P(drawing 3) = 1/5
P(drawing 4) = 1/4
1/7 * 1/6 * 1/5 * 1/4 = 0.0011904
Answer:
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is

Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'

solving for y to writing the equation in the slope-intercept form and determining the slope

Add -x to both sides.


Divide both sides by -2


comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
10 pieces there was five people each got two pieces