The product of two positive numbers is 2400. one of them is six times the other. find the number.

x multiplied by 6x is 2400. 6x^2 = 2400. x^2=400, X=20

± 20

Step-by-step explanation:

let one number be x then the other number is 6x and the product

x × 6x = 2400 , that is

6x² = 2400 ( divide both sides by 6 )

x² = 400 ( take the square root of both sides )

x = ± 20

Thus the number is 20 or - 20

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'.