Answer:
We conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
Step-by-step explanation:
We know that the perfect square formula is
<em>(a + b)² = a² + b² + 2ab</em>
Given the equation
Let us add 4² or 16 in the equation
as <em>(a + b)² = a² + b² + 2ab, </em>so
<em />
<em />
<em />
Therefore, we conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
Answer:
k = 5
Step-by-step explanation:
Given
+ 
= 3 ( multiply through by 3 to clear the fractions )
k + 1 = 6 ( subtract 1 from both sides )
k = 5
The graph of f(x)=4 cos(1/2x)-3 differs from the graph of g(x)=4 cos(x)-3, f(x) is stretched <span>horizontally.</span>
