If √6x
can be simplified to 3√10
, what is the value of x?
a) 5
b) 15
c) 45
d) 90

B)15

Step-by-step explanation:

sqrt(6x) = 3 sqrt(10)

Square each side

(sqrt(6x))^2 = (3 sqrt(10))^2

Remember (ab)^2 = a^2 b^2

6x = (3^2) sqrt(10))^2

6x = 9 * 10

6x = 90

Divide each side by 6

6x/6 = 90/6

x = 15

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'.

answer: 0.1,0.85

step-by-step explanation: