Answer:
(2x-3) (2x+3)
zeros, x intercepts: -3/2, 3/2
Step-by-step explanation:
4x^2 -9
We know the difference of squares is a^2 -b^2
This factors into (a-b) (a+b)
Let 4x^2 =a^2
Taking the square root
2x =a
Let b^2 =9
Taking the square root
b= 3
(4x^2-9 ) = (2x-3) (2x+3)
To find the zeros, we set the equation equal to zero
(4x^2-9 ) = (2x-3) (2x+3) =0
Using the zero product property
2x-3 =0 and 2x+3 =0
2x-3+3 = 0+3 2x+3-3 = 0-3
2x=3 2x=-3
Divide by 2
2x/2 = 3/2 2x/2 = -3/2
x = 3/2 x = -3/2
These are the zeros of the equation (which are also the x intercepts)
If you cut a triangle out of a piece of paper, and move that triangle around (sliding, rotating, reflecting) then that triangle will retain its original shape and size. The three movement types mentioned are rigid motions. They do not change the size or shape of the triangle. If two triangles are congruent, then a sequence of one or more rigid motions can be applied to have them line up together.
Answer:
y =

+
Explanation:The slope-intercept form of the equation has the following formula:y = mx + c
where:
m is the slope
c is the y-intercept
The given is:17x + 15y = 5
To put it in the slope-intercept formula, we should isolate the y as follows:17x + 15y = 5
15y = -17x + 5
y = (-17/15) x + (5/15)
y =

+

where:
m is the slope = -17/15
c is the y-intercept = 1/3
Hope this helps :)
Answer:
negative .............................
Answer:
No, 0.333 is a rational number, not a natural number
Step-by-step explanation: