Find two numbers such that the smaller subtracted from the larger is 9 and the difference of the square of the larger subtracted from square of the smaller is 9

GIVEN - The subtraction of the smaller number from the larger number be 9.

The subtraction of the square of the smaller number from the square larger number be 9.

Find the number

to proof =

let larger number be x

and let  the smaller number be y

and the second equation becomes

by using the equation

we have

= (x - y) (x +y)

now put this in the above equation we get

thus we  have

(x-y) (x+y) = 9

as we have (x-y) =9

put in the above equation

we get

(x + y ) =1

by solving the equation (x + y ) = 1 &  (x - y) = 9

we get x = 5 & y = -4

Hence proved

33

step-by-step explanation: g=6

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.