You want 
. We can go about this by casework. WLOG x=9, we have 8 digits: 1-8. With x=8 we have 2-9, but we already counted 8 and we already considered the 9 case, so we have 2-7 actually, which will give us 6 numbers. With x=7, with the same logic we are only looking for the numbers 3-6 which there are 4 of. With x=6, you are looking for the numbers 4-5 which are 2. With x=5 run out of numbers to pick. The numbers are indistinguishable and it does not matter whether we use x or y so we just have to ad up the cases we already have to get: 20.
The amount of metal he will need to cover the back of the shelves is 180 inches².
The figure above is like a composite figure. Therefore, lets find the area.
<h3>Area of the composite figure</h3>
The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.
Therefore, two rectangles can be drawn from it.
area of rectangle = lw
where
l = length
w = width
Therefore,
area of rectangle 1 = 9 × 8 = 72 inches²
area of rectangle 2 = 6 × 18 = 108 inches²
Total area = 108 + 72 = 180 inches²
Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².
learn more on area here: brainly.com/question/25849553
Answer:
y = -2/3x + 4
y+1 = -4/6(x + 5)
Step-by-step explanation:
y = -2/3x + 4
y+1 = -4/6(x + 5) *-4/6 is equal to -2/3
perpendicular lines have slope that are opposite signs and reciprocals
the slope of the original line in this problem is 3/2 so any line with a slope of -2/3 is perpendicular to it
