If r1
and
r2
are the roots of
ax2 + bx + c = 0,
show that
r1r2 =
c
a
.
If
r1
and
r2
are roots of
ax2 + bx + c = 0,
then their values are
r1 =
−b +

b2 − 4ac
2a
and
r2 =
−b −

b2 − 4ac
2a
r1r2
=

+

b2 − 4ac
2a

·

−b −

b2 − 4ac
2a

=

+

b2 − 4ac

·

−b −

b2 − 4ac

4a2
=

2

−

b2 − 4ac
2

4a2
=

− (b2 − 4ac)
4a2

=

4a2

=

c
a

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !