4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
Answer:
im not the best at algebra but
2a+3b+4c
Step-by-step explanation:
subtract
(2a−3b+4c) from the sum of (a+3b−4c),(4a−b+9c) and (−2b+3c−a).
add
=(a+3b−4c)+(4a−b+9c)+(−2b+3c−a)
=(a+4a−a)+(3b−b−2b)+(−4c+9c+3c)
=4a+8c
then subtract
=(4a+8c)−(2a−3b+4c)
=4a+8c−2a+3b−4c
=2a+3b+4c
We have been given a parent function 
and we need to transform this function into 
.
We will be required to use three transformations to obtain the required function from .
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to 
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes 
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as .
Answer: y = 2x also written as y = 2x + 0
Step-by-step explanation:
When dealing with parallel lines their slopes are ALWAYS the same so the equation would have the slope of 2, but to find the y intercept you have to plug the coordinate given into the point-slope formula (y - y1) = m(x - x1) where m is the slope, y1 is the y output of the coordinate and x1 is the x input of the coordinate.
1. Plug cordinate into point slope form equation:
(y - 0) = 2(x - 0)
2. Distribute the 2 to x and 0
y - 0 = 2x - 0
The two zeros cancel out because they are 0s to begin with so your final answer for your y - intercept is 0
hope this helps :)
2. the scale factor is x= 4.5 cm
this is because when u see how much it dilated from 4cm to 2cm it divided from 2, so if u did the same for the other number. Which is 9, it’s 9/2 which equals 4.5
