So if we have 4x^2 - 27 = 0 then by using the square root properties we get:
4x^2 = 27
x^2= 27/4
x= +/- sqrt(27/4)
x=+/- 3*sqrt(3)/(2)
hope this helps! any questions please just ask! Thank you!!
Answer:
3 9/32
Step-by-step explanation:
The 'i' should go in front of the square root, not inside it.
So the answer should be 
--------------
The way they wrote the expression
is bit misleading as it might imply that the 'i' is under the square root. However the square root ends after the "5". It might be better to say
so there is clearer separation. But sticking the "i" in front is also a valid option.
side note: the plus minus part is already handled so there's no need to worry about that.
Answer:
≈ 
Step-by-step explanation:
Area of Circle:
π 
π 
π (16)
≈ 
Area of Square:


Area of each corner:

13.73 ÷ 4 ≈ 
Area of Red:
≈ 
Given:
The point is (-5,7).
To find:
The image of the given point after 90 degrees counter clockwise rotation.
Solution:
If a point rotated 90 degrees counter clockwise, then

Let the given point is P(-5,7). Using the above rule, we get

Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).