Arectangle has an area of 40 square units. the length is 6 units greater than the width. what’s are the dimensions of the rectangle?

Width of the rectangle is 4 units and length is 10 units

Step-by-step explanation:

Area of the rectangle = length × width

⇒ 40 = x (6 + x)

⇒ 40 = 6x + x²

⇒ x² + 6x - 40 = 0

⇒ x² + 10x - 4x - 40 = 0 (Using Product Sum rule to factorize)

⇒ x(x + 10) - 4(x + 10) = 0

⇒ (x + 10)(x - 4) = 0

⇒ x = -10, 4 (negative value is neglected)

x = 4 and 6 + x = 10

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies